<?xml version="1.0" encoding="US-ASCII"?>
<!-- Generated by Broadridge Transform (tm) - http://www.broadridge.com -->
<!-- Created: Mon Jun 22 10:05:20 UTC 2026 -->
<xs:schema elementFormDefault="qualified" xmlns:aci="http://albertsonscompanies.com/20260806" targetNamespace="http://albertsonscompanies.com/20260806" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:us-types="http://xbrl.us/us-types/2009-01-31" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xmlns:dtr="http://www.xbrl.org/dtr/type/2024-01-31" xmlns:xbrli="http://www.xbrl.org/2003/instance">
  <xs:annotation>
    <xs:appinfo>
      <link:linkbaseRef xlink:type="simple" xlink:href="aci-20260806_lab.xml" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:role="http://www.xbrl.org/2003/role/labelLinkbaseRef"/>
      <link:linkbaseRef xlink:type="simple" xlink:href="aci-20260806_pre.xml" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:role="http://www.xbrl.org/2003/role/presentationLinkbaseRef"/>
      <link:linkbaseRef xlink:type="simple" xlink:href="aci-20260806_def.xml" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:role="http://www.xbrl.org/2003/role/definitionLinkbaseRef"/>
      <link:roleType roleURI="http://albertsonscompanies.com/role/AdditionalDimensions" id="aci_r_AdditionalDimensions">
        <link:definition>999000 - Disclosure - Pay vs Performance Disclosure - Additional Dimensions</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
      </link:roleType>
    </xs:appinfo>
  </xs:annotation>
  <xs:import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd"/>
  <xs:import namespace="http://www.xbrl.org/2003/linkbase" schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/ecd/2025" schemaLocation="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/dei/2025" schemaLocation="https://xbrl.sec.gov/dei/2025/dei-2025.xsd"/>
  <xs:import namespace="http://www.xbrl.org/2009/role/negated" schemaLocation="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd"/>
  <xs:import namespace="http://www.xbrl.org/dtr/type/2024-01-31" schemaLocation="https://www.xbrl.org/dtr/type/2024-01-31/types.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/ecd-sub/2025" schemaLocation="https://xbrl.sec.gov/ecd/2025/ecd-sub-2025.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/dei-sub/2025" schemaLocation="https://xbrl.sec.gov/dei/2025/dei-sub-2025.xsd"/>
  <xs:import namespace="http://xbrl.org/2005/xbrldt" schemaLocation="http://www.xbrl.org/2005/xbrldt-2005.xsd"/>
  <xs:element name="SusanMorrisMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="aci_SusanMorrisMember"/>
<!-- [WMV7][2EkEY+kHMp/teYh8rkS/cdVcTBZgUrQw84nI+aSf4LyKxa04h78CVmols4utQwT8PcUCNcpwIAyHdhPnafNl4f/IkO9WiBwZsXjXzltT7qtdBXKolgF0pvXXBbIcKL67eCAS4Ika3IhBQ/+7u8XkLjYodVuXPHQRr9V3SEmJKqAJZxY+jJJWAWAA43Z9vYWlQaIsdMY6LyhQ3X5f77VRtI+j+g8LQ+HcmPGzvw2HPrN8phQO+lwfFeCSsqDfkZfFYtN6Wv/VCOodpHJ3s9+RRvzZ1Y+bobhkzbU692zwqkm/AJL4ZNfcxVzKp4YdA81873B+tQvIeO6wvchD5A6ug4hnq5dniIwmmhYu9hv2PlinsGjbKJV2++7zGnm7] CSR-->
  <xs:element name="VivekSankaranMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="aci_VivekSankaranMember"/>
</xs:schema>
