diff --git a/newsfragments/4771.bugfix.rst b/newsfragments/4771.bugfix.rst
new file mode 100644
index 0000000000..6a879245b7
--- /dev/null
+++ b/newsfragments/4771.bugfix.rst
@@ -0,0 +1 @@
+Stop writing ``License-File`` to metadata, since setuptools does not yet support Metadata 2.4
diff --git a/setuptools/_core_metadata.py b/setuptools/_core_metadata.py
index 2e9c48a77b..01e8de2418 100644
--- a/setuptools/_core_metadata.py
+++ b/setuptools/_core_metadata.py
@@ -204,7 +204,7 @@ def write_field(key, value):
     if self.long_description_content_type:
         write_field('Description-Content-Type', self.long_description_content_type)
 
-    self._write_list(file, 'License-File', self.license_files or [])
+    # self._write_list(file, 'License-File', self.license_files or [])
     _write_requirements(self, file)
 
     long_description = self.get_long_description()
diff --git a/setuptools/tests/test_egg_info.py b/setuptools/tests/test_egg_info.py
index a68ecaba4c..8f7358dc4a 100644
--- a/setuptools/tests/test_egg_info.py
+++ b/setuptools/tests/test_egg_info.py
@@ -1051,11 +1051,12 @@ def test_license_file_attr_pkg_info(self, tmpdir_cwd, env):
             line for line in pkg_info_lines if line.startswith('License-File:')
         ]
 
+        assert license_file_lines == []
         # Only 'NOTICE', LICENSE-ABC', and 'LICENSE-XYZ' should have been matched
         # Also assert that order from license_files is keeped
-        assert "License-File: NOTICE" == license_file_lines[0]
-        assert "License-File: LICENSE-ABC" in license_file_lines[1:]
-        assert "License-File: LICENSE-XYZ" in license_file_lines[1:]
+        # assert "License-File: NOTICE" == license_file_lines[0]
+        # assert "License-File: LICENSE-ABC" in license_file_lines[1:]
+        # assert "License-File: LICENSE-XYZ" in license_file_lines[1:]
 
     def test_metadata_version(self, tmpdir_cwd, env):
         """Make sure latest metadata version is used by default."""