diff --git a/hypothesis-python/src/hypothesis/extra/array_api.py b/hypothesis-python/src/hypothesis/extra/array_api.py
index 7a8f6802f2..43fdfb0805 100644
--- a/hypothesis-python/src/hypothesis/extra/array_api.py
+++ b/hypothesis-python/src/hypothesis/extra/array_api.py
@@ -692,7 +692,7 @@ def indices(
     check_valid_dims(min_dims, "min_dims")
 
     if max_dims is None:
-        max_dims = min(min_dims + 2, len(shape), NDIM_MAX)
+        max_dims = min(len(shape), NDIM_MAX)
     check_type(int, max_dims, "max_dims")
     assert isinstance(max_dims, int)
     check_argument(