diff --git a/test/test_ssl/test_dhparam.py b/test/test_ssl/test_dhparam.py
index 67b11fa..fd60217 100644
--- a/test/test_ssl/test_dhparam.py
+++ b/test/test_ssl/test_dhparam.py
@@ -89,5 +89,5 @@ def test_web5_dhparam_is_used(docker_compose):
 
     host = "%s:443" % sut_container.attrs["NetworkSettings"]["IPAddress"]
     r = subprocess.check_output(
-        "echo '' | openssl s_client -verify 0 -connect %s -cipher 'EDH' | grep 'Server Temp Key'" % host, shell=True)
+        "echo '' | openssl s_client -connect %s -cipher 'EDH' | grep 'Server Temp Key'" % host, shell=True)
     assert "Server Temp Key: DH, 2048 bits\n" == r
diff --git a/test/test_ssl/wildcard_cert_and_nohttps/test_wildcard_cert_nohttps.py b/test/test_ssl/wildcard_cert_and_nohttps/test_wildcard_cert_nohttps.py
index db18809..de4b298 100644
--- a/test/test_ssl/wildcard_cert_and_nohttps/test_wildcard_cert_nohttps.py
+++ b/test/test_ssl/wildcard_cert_and_nohttps/test_wildcard_cert_nohttps.py
@@ -1,5 +1,6 @@
 import pytest
 from backports.ssl_match_hostname import CertificateError
+from requests.exceptions import SSLError
 
 
 @pytest.mark.parametrize("subdomain,should_redirect_to_https", [
@@ -23,7 +24,7 @@ def test_https_get_served(docker_compose, nginxproxy, subdomain):
 
 
 def test_web3_https_is_500_and_SSL_validation_fails(docker_compose, nginxproxy):
-    with pytest.raises(CertificateError) as excinfo:
+    with pytest.raises( (CertificateError, SSLError) ) as excinfo:
         nginxproxy.get("https://3.web.nginx-proxy.tld/port")
     assert """hostname '3.web.nginx-proxy.tld' doesn't match 'nginx-proxy.tld'""" in str(excinfo.value)