diff --git a/src/urllib3/util/ssl_.py b/src/urllib3/util/ssl_.py
index 8a1c5675af..e4b5df7017 100644
--- a/src/urllib3/util/ssl_.py
+++ b/src/urllib3/util/ssl_.py
@@ -44,13 +44,21 @@ def _const_compare_digest_backport(a, b):
 
 try:  # Test for SSL features
     import ssl
-    from ssl import HAS_SNI  # Has SNI?
     from ssl import CERT_REQUIRED, wrap_socket
+except ImportError:
+    pass
+
+try:
+    from ssl import HAS_SNI  # Has SNI?
+except ImportError:
+    pass
 
+try:
     from .ssltransport import SSLTransport
 except ImportError:
     pass
 
+
 try:  # Platform-specific: Python 3.6
     from ssl import PROTOCOL_TLS