diff --git a/channels/chan_sip.c b/channels/chan_sip.c
index e1f6f13301..f8963ea6f9 100644
--- a/channels/chan_sip.c
+++ b/channels/chan_sip.c
@@ -31977,7 +31977,11 @@ static struct sip_peer *build_peer(const char *name, struct ast_variable *v_head
 	if (realtime) {
 		int enablepoke = 1;
 
-		if (!sip_cfg.ignore_regexpire && peer->host_dynamic) {
+		if (peer->maxms == 0) {
+			/* In sip_poke_peer_now we'd stop poking when maxms is 0.
+			 * So let's just not even schedule anything. */
+			enablepoke = 0;
+		} else if (!sip_cfg.ignore_regexpire && peer->host_dynamic) {
 			time_t nowtime = time(NULL);
 
 			if ((nowtime - regseconds) > 0) {