diff --git a/arch/um/include/shared/timer-internal.h b/arch/um/include/shared/timer-internal.h
index 9991ec2..a4d7938 100644
--- a/arch/um/include/shared/timer-internal.h
+++ b/arch/um/include/shared/timer-internal.h
@@ -43,6 +43,11 @@ static inline void time_travel_set_timer_expiry(unsigned long long expiry)
 {
 	time_travel_timer_expiry = expiry;
 }
+
+static inline void time_travel_set_timer_interval(unsigned long long interval)
+{
+	time_travel_timer_interval = interval;
+}
 #else
 #define time_travel_mode TT_MODE_OFF
 #define time_travel_time 0
@@ -61,6 +66,10 @@ static inline void time_travel_set_timer_expiry(unsigned long long expiry)
 {
 }
 
+static inline void time_travel_set_timer_interval(unsigned long long interval)
+{
+}
+
 #define time_travel_timer_mode TT_TMR_DISABLED
 #endif
 
diff --git a/arch/um/kernel/process.c b/arch/um/kernel/process.c
index 6bede78..cf242fc 100644
--- a/arch/um/kernel/process.c
+++ b/arch/um/kernel/process.c
@@ -210,7 +210,12 @@ static void time_travel_sleep(unsigned long long duration)
 	if (time_travel_mode != TT_MODE_INFCPU)
 		os_timer_disable();
 
-	if (time_travel_timer_mode != TT_TMR_DISABLED ||
+	while (time_travel_timer_mode == TT_TMR_PERIODIC &&
+	       time_travel_timer_expiry < time_travel_time)
+		time_travel_set_timer_expiry(time_travel_timer_expiry +
+					     time_travel_timer_interval);
+
+	if (time_travel_timer_mode != TT_TMR_DISABLED &&
 	    time_travel_timer_expiry < next) {
 		if (time_travel_timer_mode == TT_TMR_ONESHOT)
 			time_travel_set_timer_mode(TT_TMR_DISABLED);
diff --git a/arch/um/kernel/time.c b/arch/um/kernel/time.c
index 2347572..4ecabf7 100644
--- a/arch/um/kernel/time.c
+++ b/arch/um/kernel/time.c
@@ -65,6 +65,7 @@ static int itimer_set_periodic(struct clock_event_device *evt)
 	if (time_travel_mode != TT_MODE_OFF) {
 		time_travel_set_timer_mode(TT_TMR_PERIODIC);
 		time_travel_set_timer_expiry(time_travel_time + interval);
+		time_travel_set_timer_interval(interval);
 	}
 
 	if (time_travel_mode != TT_MODE_INFCPU)