diff --git a/linreg.c b/linreg.c
index 4513dd1..b94c44e 100644
--- a/linreg.c
+++ b/linreg.c
@@ -76,6 +76,8 @@ struct linreg_servo {
 	double update_interval;
 	/* Current ratio between remote and local frequency */
 	double frequency_ratio;
+	/* Upcoming leap second */
+	int leap;
 };
 
 static void linreg_destroy(struct servo *servo)
@@ -305,6 +307,20 @@ static double linreg_rate_ratio(struct servo *servo)
 	return s->frequency_ratio;
 }
 
+static void linreg_leap(struct servo *servo, int leap)
+{
+	struct linreg_servo *s = container_of(servo, struct linreg_servo, servo);
+
+	/*
+	 * Move reference when leap second is applied to the reference
+	 * time as if the clock was stepped in the opposite direction
+	 */
+	if (s->leap && !leap)
+		move_reference(s, 0, s->leap * 1000000000);
+
+	s->leap = leap;
+}
+
 struct servo *linreg_servo_create(int fadj)
 {
 	struct linreg_servo *s;
@@ -318,6 +334,7 @@ struct servo *linreg_servo_create(int fadj)
 	s->servo.sync_interval = linreg_sync_interval;
 	s->servo.reset = linreg_reset;
 	s->servo.rate_ratio = linreg_rate_ratio;
+	s->servo.leap = linreg_leap;
 
 	s->clock_freq = -fadj;
 	s->frequency_ratio = 1.0;