diff --git a/src/lib/swim/swim.c b/src/lib/swim/swim.c
index eb7aa6f01d337cf6fbef2659aa2f56edad1eccc1..f7a885b764a0c030b4ee1666cc04e26a3ddb3ae2 100644
--- a/src/lib/swim/swim.c
+++ b/src/lib/swim/swim.c
@@ -1077,6 +1077,18 @@ swim_begin_step(struct ev_loop *loop, struct ev_timer *t, int events)
 	(void) events;
 	(void) loop;
 	struct swim *swim = (struct swim *) t->data;
+	/*
+	 * There are possible false-positive wakeups. They can
+	 * appear, when a round task was scheduled, but event
+	 * loop was too busy to send the task, and the timer
+	 * alarms again. In such a case stop it - it makes no
+	 * sense to waste time on idle wakeups. Completion
+	 * callback will restart the timer.
+	 */
+	if (swim_task_is_scheduled(&swim->round_step_task)) {
+		swim_ev_timer_stop(loop, t);
+		return;
+	}
 	if (! rlist_empty(&swim->round_queue))
 		say_verbose("SWIM %d: continue the round", swim_fd(swim));
 	else
@@ -1084,8 +1096,10 @@ swim_begin_step(struct ev_loop *loop, struct ev_timer *t, int events)
 	/*
 	 * Possibly empty, if no members but self are specified.
 	 */
-	if (rlist_empty(&swim->round_queue))
+	if (rlist_empty(&swim->round_queue)) {
+		swim_ev_timer_stop(loop, t);
 		return;
+	}
 	swim_encode_round_msg(swim);
 	struct swim_member *m =
 		rlist_first_entry(&swim->round_queue, struct swim_member,
@@ -1104,6 +1118,10 @@ swim_complete_step(struct swim_task *task,
 	(void) rc;
 	(void) task;
 	struct swim *swim = swim_by_scheduler(scheduler);
+	/*
+	 * It could be stopped by the step begin function, if the
+	 * sending was too long.
+	 */
 	swim_ev_timer_again(loop(), &swim->round_tick);
 	/*
 	 * It is possible that the original member was deleted
diff --git a/test/unit/swim.c b/test/unit/swim.c
index 6467aa35ece36c303722982cda7759911e857388..2ba9820d87f1759e8e23741acb3e711d165d2863 100644
--- a/test/unit/swim.c
+++ b/test/unit/swim.c
@@ -933,10 +933,27 @@ swim_test_encryption(void)
 	swim_finish_test();
 }
 
+static void
+swim_test_slow_net(void)
+{
+	swim_start_test(0);
+	struct swim_cluster *cluster = swim_cluster_new(2);
+	swim_cluster_interconnect(cluster, 0, 1);
+	swim_cluster_block_io(cluster, 0);
+	swim_cluster_block_io(cluster, 1);
+
+	note("slow network leads to idle round steps, they should not produce "\
+	     "a new message");
+	swim_run_for(5);
+
+	swim_cluster_delete(cluster);
+	swim_finish_test();
+}
+
 static int
 main_f(va_list ap)
 {
-	swim_start_test(19);
+	swim_start_test(20);
 
 	(void) ap;
 	swim_test_ev_init();
@@ -961,6 +978,7 @@ main_f(va_list ap)
 	swim_test_payload_refutation();
 	swim_test_indirect_ping();
 	swim_test_encryption();
+	swim_test_slow_net();
 
 	swim_test_transport_free();
 	swim_test_ev_free();
diff --git a/test/unit/swim.result b/test/unit/swim.result
index 4093ecb931e133ff6472a10041c0b59d5760eb3a..25fdb88337cccf2692c211001e34cfbe19d64a77 100644
--- a/test/unit/swim.result
+++ b/test/unit/swim.result
@@ -1,5 +1,5 @@
 	*** main_f ***
-1..19
+1..20
 	*** swim_test_one_link ***
     1..6
     ok 1 - no rounds - no fullmesh
@@ -195,4 +195,9 @@ ok 18 - subtests
     ok 3 - cluster works after encryption has been disabled
 ok 19 - subtests
 	*** swim_test_encryption: done ***
+	*** swim_test_slow_net ***
+    1..0
+    # slow network leads to idle round steps, they should not produce a new message
+ok 20 - subtests
+	*** swim_test_slow_net: done ***
 	*** main_f: done ***
diff --git a/test/unit/swim_test_ev.c b/test/unit/swim_test_ev.c
index d415cec0abee7b707b461a0fc5efeedaa5f09dbc..a4ffa2fc89277ce23e25cdf10de3983e6bf404c9 100644
--- a/test/unit/swim_test_ev.c
+++ b/test/unit/swim_test_ev.c
@@ -177,18 +177,24 @@ swim_timer_event_delete(struct swim_event *e)
 	free(te);
 }
 
+/** Create a new timer event. */
+static void
+swim_timer_event_new(struct ev_watcher *watcher, double delay);
+
 /** Process a timer event and delete it. */
 static void
 swim_timer_event_process(struct swim_event *e, struct ev_loop *loop)
 {
 	assert(e->type == SWIM_EVENT_TIMER);
 	struct ev_watcher *w = ((struct swim_timer_event *) e)->watcher;
+	struct ev_timer *t = (struct ev_timer *) w;
 	swim_timer_event_delete(e);
-	((struct ev_timer *) w)->at = 0;
+	t->at = 0;
+	if (t->repeat > 0)
+		swim_timer_event_new(w, t->repeat);
 	ev_invoke(loop, w, EV_TIMER);
 }
 
-/** Create a new timer event. */
 static void
 swim_timer_event_new(struct ev_watcher *watcher, double delay)
 {