diff --git a/zipp/__init__.py b/zipp/__init__.py
index ddfa0a6..1263ff9 100644
--- a/zipp/__init__.py
+++ b/zipp/__init__.py
@@ -5,7 +5,6 @@
 import contextlib
 import pathlib
 import re
-import fnmatch
 
 from .py310compat import text_encoding
 
@@ -13,6 +12,13 @@
 __all__ = ['Path']
 
 
+def _translate(pattern):
+    """
+    Given a glob pattern, produce a regex that matches it.
+    """
+    return pattern.replace('**', r'.*').replace('*', r'[^/]*')
+
+
 def _parents(path):
     """
     Given a path with elements separated by
@@ -367,7 +373,7 @@ def glob(self, pattern):
         if not pattern:
             raise ValueError(f"Unacceptable pattern: {pattern!r}")
 
-        matches = re.compile(fnmatch.translate(pattern)).fullmatch
+        matches = re.compile(_translate(pattern)).fullmatch
         return (
             child
             for child in self._descendants()