diff --git a/Library/Homebrew/cleaner.rb b/Library/Homebrew/cleaner.rb
index cf3e84586c631..0ae87b0bcfb42 100644
--- a/Library/Homebrew/cleaner.rb
+++ b/Library/Homebrew/cleaner.rb
@@ -58,7 +58,7 @@ def clean
     end
 
     rewrite_shebangs
-    remove_pip_direct_url
+    clean_python_metadata
 
     prune
   end
@@ -165,25 +165,27 @@ def rewrite_shebangs
     end
   end
 
-  # Remove non-reproducible pip direct_url.json which records the /tmp build directory
+  # Remove non-reproducible pip direct_url.json which records the /tmp build directory.
+  # Remove RECORD files to prevent changes to the installed Python package.
+  # Modify INSTALLER to provide information that files are managed by brew.
+  #
+  # @see https://packaging.python.org/en/latest/specifications/recording-installed-packages/
   sig { void }
-  def remove_pip_direct_url
+  def clean_python_metadata
     basepath = @formula.prefix.realpath
     basepath.find do |path|
       Find.prune if @formula.skip_clean?(path)
 
       next if path.directory? || path.symlink?
-      next if path.basename.to_s != "direct_url.json"
       next if path.parent.extname != ".dist-info"
 
-      odebug "Removing #{path}"
-      path.unlink
-
-      record = path.parent/"RECORD"
-      next unless record.file?
-
-      odebug "Modifying #{record}"
-      @formula.inreplace record, %r{^.*/direct_url\.json,.*$\n?}, "", false
+      case path.basename.to_s
+      when "direct_url.json", "RECORD"
+        observe_file_removal path
+      when "INSTALLER"
+        odebug "Modifying #{path} contents from #{path.read.chomp} to brew"
+        path.atomic_write("brew\n")
+      end
     end
   end
 end
diff --git a/Library/Homebrew/test/cleaner_spec.rb b/Library/Homebrew/test/cleaner_spec.rb
index 0c02b81256d96..f5f51a29418b0 100644
--- a/Library/Homebrew/test/cleaner_spec.rb
+++ b/Library/Homebrew/test/cleaner_spec.rb
@@ -155,6 +155,52 @@
       expect(arch_file).not_to exist
       expect(name_file).to exist
     end
+
+    it "removes '*.dist-info/direct_url.json' files" do
+      dir = f.lib/"python3.12/site-packages/test.dist-info"
+      file = dir/"direct_url.json"
+      unrelated_file = dir/"METADATA"
+      unrelated_dir_file = f.lib/"direct_url.json"
+
+      dir.mkpath
+      touch file
+      touch unrelated_file
+      touch unrelated_dir_file
+
+      cleaner.clean
+
+      expect(file).not_to exist
+      expect(unrelated_file).to exist
+      expect(unrelated_dir_file).to exist
+    end
+
+    it "removes '*.dist-info/RECORD' files" do
+      dir = f.lib/"python3.12/site-packages/test.dist-info"
+      file = dir/"RECORD"
+      unrelated_file = dir/"METADATA"
+      unrelated_dir_file = f.lib/"RECORD"
+
+      dir.mkpath
+      touch file
+      touch unrelated_file
+      touch unrelated_dir_file
+
+      cleaner.clean
+
+      expect(file).not_to exist
+      expect(unrelated_file).to exist
+      expect(unrelated_dir_file).to exist
+    end
+
+    it "modifies '*.dist-info/INSTALLER' files" do
+      file = f.lib/"python3.12/site-packages/test.dist-info/INSTALLER"
+      file.dirname.mkpath
+      file.write "pip\n"
+
+      cleaner.clean
+
+      expect(file.read).to eq "brew\n"
+    end
   end
 
   describe "::skip_clean" do