diff --git a/Library/Homebrew/extend/os/linux/development_tools.rb b/Library/Homebrew/extend/os/linux/development_tools.rb
index 6eae62b62d..6ad96f7982 100644
--- a/Library/Homebrew/extend/os/linux/development_tools.rb
+++ b/Library/Homebrew/extend/os/linux/development_tools.rb
@@ -21,7 +21,10 @@ class DevelopmentTools
     end
 
     def build_system_info
-      generic_build_system_info.merge "glibc_version" => OS::Linux::Glibc.version
+      generic_build_system_info.merge({
+        "glibc_version"     => OS::Linux::Glibc.version,
+        "oldest_cpu_family" => Hardware.oldest_cpu,
+      })
     end
   end
 end
diff --git a/Library/Homebrew/github_packages.rb b/Library/Homebrew/github_packages.rb
index 302e2eea95..cb1419d68d 100644
--- a/Library/Homebrew/github_packages.rb
+++ b/Library/Homebrew/github_packages.rb
@@ -246,11 +246,14 @@ class GitHubPackages
         (tab["built_on"]["glibc_version"] if tab["built_on"].present?) || "2.23"
       end
 
+      variant = tab["oldest_cpu_family"] || "core2" if os == "linux"
+
       platform_hash = {
         architecture: architecture,
+        variant: variant,
         os: os,
         "os.version" => os_version,
-      }
+      }.compact
       tar_sha256 = Digest::SHA256.hexdigest(
         Utils.safe_popen_read("gunzip", "--stdout", "--decompress", local_file),
       )