diff --git a/Lib/packaging/tests/test_command_build_py.py b/Lib/packaging/tests/test_command_build_py.py
index f7f26dafe9c..0599bf23bf9 100644
--- a/Lib/packaging/tests/test_command_build_py.py
+++ b/Lib/packaging/tests/test_command_build_py.py
@@ -24,11 +24,17 @@ class BuildPyTestCase(support.TempdirManager,
             f.write("# Pretend this is a package.")
         finally:
             f.close()
+        # let's have two files to make sure globbing works
         f = open(os.path.join(pkg_dir, "README.txt"), "w")
         try:
             f.write("Info about this package")
         finally:
             f.close()
+        f = open(os.path.join(pkg_dir, "HACKING.txt"), "w")
+        try:
+            f.write("How to contribute")
+        finally:
+            f.close()
 
         destination = self.mkdtemp()
 
@@ -42,7 +48,7 @@ class BuildPyTestCase(support.TempdirManager,
             convert_2to3_doctests=None,
             use_2to3=False)
         dist.packages = ["pkg"]
-        dist.package_data = {"pkg": ["README.txt"]}
+        dist.package_data = {"pkg": ["*.txt"]}
         dist.package_dir = sources
 
         cmd = build_py(dist)
@@ -55,15 +61,19 @@ class BuildPyTestCase(support.TempdirManager,
         # This makes sure the list of outputs includes byte-compiled
         # files for Python modules but not for package data files
         # (there shouldn't *be* byte-code files for those!).
-        #
-        self.assertEqual(len(cmd.get_outputs()), 3)
+        # FIXME the test below is not doing what the comment above says, and
+        # if it did it would show a code bug: if we add a demo.py file to
+        # package_data, it gets byte-compiled!
+        outputs = cmd.get_outputs()
+        self.assertEqual(len(outputs), 4, outputs)
         pkgdest = os.path.join(destination, "pkg")
         files = os.listdir(pkgdest)
         pycache_dir = os.path.join(pkgdest, "__pycache__")
         self.assertIn("__init__.py", files)
         self.assertIn("README.txt", files)
+        self.assertIn("HACKING.txt", files)
         pyc_files = os.listdir(pycache_dir)
-        self.assertIn("__init__.%s.pyc" % imp.get_tag(), pyc_files)
+        self.assertEqual(["__init__.%s.pyc" % imp.get_tag()], pyc_files)
 
     def test_empty_package_dir(self):
         # See SF 1668596/1720897.
diff --git a/Lib/packaging/tests/test_command_sdist.py b/Lib/packaging/tests/test_command_sdist.py
index 47c455e1462..d9747189d1d 100644
--- a/Lib/packaging/tests/test_command_sdist.py
+++ b/Lib/packaging/tests/test_command_sdist.py
@@ -73,7 +73,6 @@ class SDistTestCase(support.TempdirManager,
                         'author_email': 'xxx'}
         dist = Distribution(metadata)
         dist.packages = ['somecode']
-        dist.include_package_data = True
         cmd = sdist(dist)
         cmd.dist_dir = 'dist'
         return dist, cmd