diff --git a/google/cloud/storage/_http.py b/google/cloud/storage/_http.py
index 6c9d11700..0ade1525f 100644
--- a/google/cloud/storage/_http.py
+++ b/google/cloud/storage/_http.py
@@ -15,20 +15,11 @@
 """Create / interact with Google Cloud Storage connections."""
 
 import functools
-import os
-import pkg_resources
 
 from google.cloud import _http
-
 from google.cloud.storage import __version__
 
 
-if os.getenv("GOOGLE_API_USE_CLIENT_CERTIFICATE") == "true":  # pragma: NO COVER
-    release = pkg_resources.get_distribution("google-cloud-core").parsed_version
-    if release < pkg_resources.parse_version("1.6.0"):
-        raise ImportError("google-cloud-core >= 1.6.0 is required to use mTLS feature")
-
-
 class Connection(_http.JSONConnection):
     """A connection to Google Cloud Storage via the JSON REST API. Mutual TLS feature will be
     enabled if `GOOGLE_API_USE_CLIENT_CERTIFICATE` environment variable is set to "true".