diff --git a/wpa_supplicant/sme.c b/wpa_supplicant/sme.c
index ba22a93f4..c22ddba13 100644
--- a/wpa_supplicant/sme.c
+++ b/wpa_supplicant/sme.c
@@ -57,7 +57,7 @@ static int index_within_array(const int *array, int idx)
 static int sme_set_sae_group(struct wpa_supplicant *wpa_s)
 {
 	int *groups = wpa_s->conf->sae_groups;
-	int default_groups[] = { 19, 20, 21, 25, 26, 0 };
+	int default_groups[] = { 19, 20, 21, 0 };
 
 	if (!groups || groups[0] <= 0)
 		groups = default_groups;
@@ -1037,7 +1037,7 @@ static int sme_sae_auth(struct wpa_supplicant *wpa_s, u16 auth_transaction,
 	    status_code == WLAN_STATUS_ANTI_CLOGGING_TOKEN_REQ &&
 	    wpa_s->sme.sae.state == SAE_COMMITTED &&
 	    (external || wpa_s->current_bss) && wpa_s->current_ssid) {
-		int default_groups[] = { 19, 20, 21, 25, 26, 0 };
+		int default_groups[] = { 19, 20, 21, 0 };
 		u16 group;
 
 		groups = wpa_s->conf->sae_groups;
diff --git a/wpa_supplicant/wpa_supplicant.conf b/wpa_supplicant/wpa_supplicant.conf
index 1bd43b226..d0be9371b 100644
--- a/wpa_supplicant/wpa_supplicant.conf
+++ b/wpa_supplicant/wpa_supplicant.conf
@@ -377,11 +377,16 @@ fast_reauth=1
 
 # Enabled SAE finite cyclic groups in preference order
 # By default (if this parameter is not set), the mandatory group 19 (ECC group
-# defined over a 256-bit prime order field) is preferred, but other groups are
-# also enabled. If this parameter is set, the groups will be tried in the
-# indicated order. The group values are listed in the IANA registry:
+# defined over a 256-bit prime order field, NIST P-256) is preferred and groups
+# 20 (NIST P-384) and 21 (NIST P-521) are also enabled. If this parameter is
+# set, the groups will be tried in the indicated order.
+# The group values are listed in the IANA registry:
 # http://www.iana.org/assignments/ipsec-registry/ipsec-registry.xml#ipsec-registry-9
-#sae_groups=21 20 19 26 25
+# Note that groups 1, 2, 5, 22, 23, and 24 should not be used in production
+# purposes due limited security (see RFC 8247). Groups that are not as strong as
+# group 19 (ECC, NIST P-256) are unlikely to be useful for production use cases
+# since all implementations are required to support group 19.
+#sae_groups=19 20 21
 
 # Default value for DTIM period (if not overridden in network block)
 #dtim_period=2