diff --git a/src/core/tcp.c b/src/core/tcp.c
index fa5f1b11..00de06ec 100644
--- a/src/core/tcp.c
+++ b/src/core/tcp.c
@@ -1635,7 +1635,7 @@ tcp_kill_prio(u8_t prio)
 
   mprio = LWIP_MIN(TCP_PRIO_MAX, prio);
 
-  /* We kill the oldest active connection that has lower priority than prio. */
+  /* We kill the oldest active connection that has the same or lower priority than prio. */
   inactivity = 0;
   inactive = NULL;
   for (pcb = tcp_active_pcbs; pcb != NULL; pcb = pcb->next) {
@@ -1742,8 +1742,8 @@ tcp_alloc(u8_t prio)
         /* Try to allocate a tcp_pcb again. */
         pcb = (struct tcp_pcb *)memp_malloc(MEMP_TCP_PCB);
         if (pcb == NULL) {
-          /* Try killing active connections with lower priority than the new one. */
-          LWIP_DEBUGF(TCP_DEBUG, ("tcp_alloc: killing connection with prio lower than %d\n", prio));
+          /* Try killing oldest active connection with the same or lower priority than the new one. */
+          LWIP_DEBUGF(TCP_DEBUG, ("tcp_alloc: killing oldest connection with prio same/lower than %d\n", prio));
           tcp_kill_prio(prio);
           /* Try to allocate a tcp_pcb again. */
           pcb = (struct tcp_pcb *)memp_malloc(MEMP_TCP_PCB);