diff --git a/roles/mail_forwarder/molecule/default/tests/test_connectivity_from_relay.py b/roles/mail_forwarder/molecule/default/tests/test_connectivity_from_relay.py
index 34618b6f0d5b03344bdc16b625bc153a6e7efc5b..04c0cc996cdab4f769718e06b3c6e4a06b1f4667 100644
--- a/roles/mail_forwarder/molecule/default/tests/test_connectivity_from_relay.py
+++ b/roles/mail_forwarder/molecule/default/tests/test_connectivity_from_relay.py
@@ -15,17 +15,6 @@ def test_connectivity_from_relay(host):
 
     with host.sudo():
 
-        ping = host.run('hping3 -S -p 25 -c 1 parameters-mandatory-jessie64')
-        assert ping.rc != 0
-        assert "100% packet loss" in ping.stderr
-
-        ping = host.run('hping3 -S -p 25 -c 1 parameters-optional-jessie64')
-        assert ping.rc == 0
-
-        ping = host.run('hping3 -S -p 25 -c 1 parameters-no-incoming-jessie64')
-        assert "100% packet loss" in ping.stderr
-        assert ping.rc != 0
-
         ping = host.run('hping3 -S -p 25 -c 1 parameters-mandatory-stretch64')
         assert ping.rc != 0
         assert "100% packet loss" in ping.stderr
@@ -44,9 +33,6 @@ def test_mail_reception_from_relay(host):
     relay.
     """
 
-    send = host.run('swaks --suppress-data --to root@parameters-optional-jessie64 --server parameters-optional-jessie64')
-    assert send.rc == 0
-
     send = host.run('swaks --suppress-data --to root@parameters-optional-stretch64 --server parameters-optional-stretch64')
     assert send.rc == 0
 
@@ -58,10 +44,6 @@ def test_open_relay(host):
 
     no_recipients_accepted = 24
 
-    send = host.run('swaks --suppress-data --to root@client1 --server parameters-optional-jessie64')
-    assert send.rc == no_recipients_accepted
-    assert "Relay access denied" in send.stdout
-
     send = host.run('swaks --suppress-data --to root@client1 --server parameters-optional-stretch64')
     assert send.rc == no_recipients_accepted
     assert "Relay access denied" in send.stdout