diff --git a/testinfra/test_gitea_lb.py b/testinfra/test_gitea_lb.py
index 69480b0c7b..b44c388435 100644
--- a/testinfra/test_gitea_lb.py
+++ b/testinfra/test_gitea_lb.py
@@ -35,6 +35,17 @@ def test_haproxy_gitea_connection(host):
                    'https://opendev.org')
     assert 'OpenDev: Free Software Needs Free Tools' in cmd.stdout
 
+def test_more_than_haproxy_maxconn_conns(host):
+    '''Test we can handle more than haproxy maxconn limit for connections'''
+    # Perform more than 4000 (maxconn limit) requests.
+    cmd = host.run('bash -c "seq 1 4096 | xargs -IUNUSED -n 1 -P 0 '
+                   'curl --resolve opendev.org:443:127.0.0.1 '
+                   'https://opendev.org > /dev/null 2>&1"')
+    # Now make a request and ensure we get expected content back
+    cmd = host.run('curl --resolve opendev.org:443:127.0.0.1 '
+                   'https://opendev.org')
+    assert 'OpenDev: Free Software Needs Free Tools' in cmd.stdout
+
 def test_haproxy_stats(host):
     cmd = host.run('echo "show servers state" | socat /var/haproxy/run/stats stdio | '
                    'tail +3 | awk \'{print $2,$4,$6}\'')