diff --git a/Cython/Utils.py b/Cython/Utils.py
index b3bfd8602f8..529f70ba3f0 100644
--- a/Cython/Utils.py
+++ b/Cython/Utils.py
@@ -316,7 +316,10 @@ def find_versioned_file(directory, filename, suffix,
     assert not suffix or suffix[:1] == '.'
     path_prefix = os.path.join(directory, filename)
 
-    matching_files = glob.glob(path_prefix + ".cython-*" + suffix)
+    matching_files = glob.glob(
+        (glob.escape(path_prefix) if sys.version_info >= (3, 4) else
+            ''.join([ '['+c+']' if c in '[*?' else c for c in path_prefix]))
+         + ".cython-*" + suffix)
     path = path_prefix + suffix
     if not os.path.exists(path):
         path = None
diff --git a/tests/run/sys_path_globbed.srctree b/tests/run/sys_path_globbed.srctree
new file mode 100644
index 00000000000..6386cab8b76
--- /dev/null
+++ b/tests/run/sys_path_globbed.srctree
@@ -0,0 +1,21 @@
+# tag: gh5942
+
+PYTHON setup.py build_ext --inplace
+PYTHON -c "from tglob import mytest; mytest()"
+
+######## tglob.pyx ########
+def mytest():
+    assert True
+
+######## setup.py ########
+import sys
+
+from Cython.Build.Dependencies import cythonize
+from distutils.core import setup, Extension
+
+sys.path.append("[Hello-World]*?")
+
+setup(
+    ext_modules=cythonize(["tglob.pyx"], language_level="3"),
+)
+