<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019e4629-d1a4-7e98-9d6d-b2e500ef80df,g:9750c517-a952-4075-90d7-66b19200968d-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://www.interface.com/role/DocumentandEntityInformationDocument" xlink:type="simple" xlink:href="tile-20260519.xsd#DocumentandEntityInformationDocument"/>
  <link:presentationLink xlink:role="http://www.interface.com/role/DocumentandEntityInformationDocument" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_019e4629-d1a4-765b-87db-077e29e80d30" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_Security12bTitle_019e4629-d1a4-765b-87db-077e29e80d30" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019e4629-d1a4-7a44-9665-462d1f1ce33c" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentType"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_DocumentType_019e4629-d1a4-7a44-9665-462d1f1ce33c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019e4629-d1a4-7ee9-b2f4-c71514949588" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_DocumentPeriodEndDate_019e4629-d1a4-7ee9-b2f4-c71514949588" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019e4629-d1a4-75e1-b206-301d124d12a4" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_EntityRegistrantName_019e4629-d1a4-75e1-b206-301d124d12a4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019e4629-d1a4-7f8b-aad5-5fcc43fdbd61" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019e4629-d1a4-7f8b-aad5-5fcc43fdbd61" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019e4629-d1a4-750b-8447-5e24db747fbf" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_EntityFileNumber_019e4629-d1a4-750b-8447-5e24db747fbf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019e4629-d1a4-7e5b-933b-558cf98b9b26" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_EntityTaxIdentificationNumber_019e4629-d1a4-7e5b-933b-558cf98b9b26" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019e4629-d1a4-7d86-91b9-53e21d2a930a" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_EntityAddressAddressLine1_019e4629-d1a4-7d86-91b9-53e21d2a930a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019e4629-d1a4-754d-88f5-2043edbcf680" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_EntityAddressCityOrTown_019e4629-d1a4-754d-88f5-2043edbcf680" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019e4629-d1a4-7c6c-bb54-f0e7dd424cb5" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_EntityAddressStateOrProvince_019e4629-d1a4-7c6c-bb54-f0e7dd424cb5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019e4629-d1a4-79f5-9c95-6744011a982e" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_EntityAddressPostalZipCode_019e4629-d1a4-79f5-9c95-6744011a982e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019e4629-d1a4-7759-a3c6-1c1af7934485" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_CityAreaCode_019e4629-d1a4-7759-a3c6-1c1af7934485" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019e4629-d1a4-77b1-85df-e37480c235e6" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_LocalPhoneNumber_019e4629-d1a4-77b1-85df-e37480c235e6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019e4629-d1a4-7adf-b0e8-47f9f371124f" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_WrittenCommunications_019e4629-d1a4-7adf-b0e8-47f9f371124f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019e4629-d1a4-7b62-9104-3ab233941f02" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_SolicitingMaterial_019e4629-d1a4-7b62-9104-3ab233941f02" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019e4629-d1a4-7dbe-ae8e-bba4eb3013f3" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_PreCommencementTenderOffer_019e4629-d1a4-7dbe-ae8e-bba4eb3013f3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019e4629-d1a4-7135-9521-2e52a1d43f21" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019e4629-d1a4-7135-9521-2e52a1d43f21" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019e4629-d1a4-718d-9d7e-1d354a8022f4" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_EntityEmergingGrowthCompany_019e4629-d1a4-718d-9d7e-1d354a8022f4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019e4629-d1a4-7efd-99c4-dff44e94e74f" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_EntityCentralIndexKey_019e4629-d1a4-7efd-99c4-dff44e94e74f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019e4629-d1a4-7b2b-a4f8-27de0ff28cbf" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_AmendmentFlag_019e4629-d1a4-7b2b-a4f8-27de0ff28cbf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_019e4629-d1a4-7755-8368-19c0dc8fe19c" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_TradingSymbol_019e4629-d1a4-7755-8368-19c0dc8fe19c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_019e4629-d1a4-749b-852e-d888ba43b994" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4629-d1a4-7fc6-b0c8-109bd643e0f4" xlink:to="loc_dei_SecurityExchangeName_019e4629-d1a4-749b-852e-d888ba43b994" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
