diff --git a/tests/net_inet/test_tls_sites.py b/tests/net_inet/test_tls_sites.py
index 67345fd0b9..bf8071d087 100644
--- a/tests/net_inet/test_tls_sites.py
+++ b/tests/net_inet/test_tls_sites.py
@@ -6,6 +6,8 @@ try:
     import ussl as ssl
 except:
     import ssl
+    # CPython only supports server_hostname with SSLContext
+    ssl = ssl.SSLContext()
 
 
 def test_one(site, opts):
@@ -22,7 +24,7 @@ def test_one(site, opts):
         else:
             s = ssl.wrap_socket(s)
 
-        s.write(b"GET / HTTP/1.0\r\n\r\n")
+        s.write(b"GET / HTTP/1.0\r\nHost: %s\r\n\r\n" % bytes(site, 'latin'))
         resp = s.read(4096)
 #        print(resp)
 
@@ -34,6 +36,7 @@ SITES = [
     "google.com",
     "www.google.com",
     "api.telegram.org",
+    {"host": "api.pushbullet.com", "sni": True},
 #    "w9rybpfril.execute-api.ap-southeast-2.amazonaws.com",
     {"host": "w9rybpfril.execute-api.ap-southeast-2.amazonaws.com", "sni": True},
 ]
diff --git a/tests/net_inet/test_tls_sites.py.exp b/tests/net_inet/test_tls_sites.py.exp
index 12732d1fa5..2f3c113d2f 100644
--- a/tests/net_inet/test_tls_sites.py.exp
+++ b/tests/net_inet/test_tls_sites.py.exp
@@ -1,4 +1,5 @@
 google.com ok
 www.google.com ok
 api.telegram.org ok
+api.pushbullet.com ok
 w9rybpfril.execute-api.ap-southeast-2.amazonaws.com ok