diff --git a/pre_commit/util.py b/pre_commit/util.py
index 10d78d99..081adf27 100644
--- a/pre_commit/util.py
+++ b/pre_commit/util.py
@@ -77,7 +77,8 @@ def no_git_env():
     # GIT_DIR: Causes git clone to clone wrong thing
     # GIT_INDEX_FILE: Causes 'error invalid object ...' during commit
     return {
-        k: v for k, v in os.environ.items() if not k.startswith('GIT_')
+        k: v for k, v in os.environ.items()
+        if not k.startswith('GIT_') or k in {'GIT_SSH'}
     }