diff --git a/tests/test_files.py b/tests/test_files.py
index 7424775b3..9420eeb05 100644
--- a/tests/test_files.py
+++ b/tests/test_files.py
@@ -348,11 +348,14 @@ def test_glob_matcher(self) -> None:
             (self.make_file("sub/file1.py"), True),
             (self.make_file("sub/file2.c"), False),
             (self.make_file("sub2/file3.h"), True),
+            (self.make_file("sub2/sub/file3.h"), False),
             (self.make_file("sub3/file4.py"), True),
             (self.make_file("sub3/file5.c"), False),
+            (self.make_file("sub4/file3.h"), True),
+            (self.make_file("sub4/sub/file3.h"), True),
         ]
-        fnm = GlobMatcher(["*.py", "*/sub2/*"])
-        assert fnm.info() == ["*.py", "*/sub2/*"]
+        fnm = GlobMatcher(["*.py", "*/sub2/*", "*/sub4/**"])
+        assert fnm.info() == ["*.py", "*/sub2/*", "*/sub4/**"]
         for filepath, matches in matches_to_try:
             self.assertMatches(fnm, filepath, matches)