diff --git a/tests/hwsim/test_sae.py b/tests/hwsim/test_sae.py
index 01b3a661d..34b1fa243 100644
--- a/tests/hwsim/test_sae.py
+++ b/tests/hwsim/test_sae.py
@@ -132,6 +132,10 @@ def test_sae_groups(dev, apdev):
     # VMs and can result in hitting the mac80211 authentication timeout, so
     # allow them to fail and just report such failures in the debug log.
     sae_groups = [ 19, 25, 26, 20, 21, 2, 5, 14, 15, 16, 22, 23, 24 ]
+    tls = dev[0].request("GET tls_library")
+    if tls.startswith("OpenSSL") and "build=OpenSSL 1.0.2" in tls and "run=OpenSSL 1.0.2" in tls:
+        logger.info("Add Brainpool EC groups since OpenSSL is new enough")
+        sae_groups += [ 27, 28, 29, 30 ]
     heavy_groups = [ 14, 15, 16 ]
     groups = [str(g) for g in sae_groups]
     params = hostapd.wpa2_params(ssid="test-sae-groups",