diff --git a/rules/manager.go b/rules/manager.go
index 35ce82ce8..f48ba75fa 100644
--- a/rules/manager.go
+++ b/rules/manager.go
@@ -192,8 +192,9 @@ func (g *Group) run(ctx context.Context) {
 	defer close(g.terminated)
 
 	// Wait an initial amount to have consistently slotted intervals.
+	evalTimestamp := g.evalTimestamp().Add(g.interval)
 	select {
-	case <-time.After(g.offset()):
+	case <-time.After(time.Until(evalTimestamp)):
 	case <-g.done:
 		return
 	}
@@ -202,17 +203,20 @@ func (g *Group) run(ctx context.Context) {
 		iterationsScheduled.Inc()
 
 		start := time.Now()
-		g.Eval(ctx, start)
+		g.Eval(ctx, evalTimestamp)
+		timeSinceStart := time.Since(start)
 
-		iterationDuration.Observe(time.Since(start).Seconds())
-		g.SetEvaluationTime(time.Since(start))
+		iterationDuration.Observe(timeSinceStart.Seconds())
+		g.SetEvaluationTime(timeSinceStart)
 	}
-	lastTriggered := time.Now()
-	iter()
 
+	// The assumption here is that since the ticker was started after having
+	// waited for `evalTimestamp` to pass, the ticks will trigger soon
+	// after each `evalTimestamp + N * g.interval` occurrence.
 	tick := time.NewTicker(g.interval)
 	defer tick.Stop()
 
+	iter()
 	for {
 		select {
 		case <-g.done:
@@ -222,12 +226,12 @@ func (g *Group) run(ctx context.Context) {
 			case <-g.done:
 				return
 			case <-tick.C:
-				missed := (time.Since(lastTriggered).Nanoseconds() / g.interval.Nanoseconds()) - 1
+				missed := (time.Since(evalTimestamp) / g.interval) - 1
 				if missed > 0 {
 					iterationsMissed.Add(float64(missed))
 					iterationsScheduled.Add(float64(missed))
 				}
-				lastTriggered = time.Now()
+				evalTimestamp = evalTimestamp.Add((missed + 1) * g.interval)
 				iter()
 			}
 		}
@@ -261,20 +265,16 @@ func (g *Group) SetEvaluationTime(dur time.Duration) {
 	g.evaluationTime = dur
 }
 
-// offset returns until the next consistently slotted evaluation interval.
-func (g *Group) offset() time.Duration {
-	now := time.Now().UnixNano()
-
+// evalTimestamp returns the immediately preceding consistently slotted evaluation time.
+func (g *Group) evalTimestamp() time.Time {
 	var (
-		base   = now - (now % int64(g.interval))
-		offset = g.hash() % uint64(g.interval)
-		next   = base + int64(offset)
+		offset = int64(g.hash() % uint64(g.interval))
+		now    = time.Now().UnixNano()
+		adjNow = now - offset
+		base   = adjNow - (adjNow % int64(g.interval))
 	)
 
-	if next < now {
-		next += int64(g.interval)
-	}
-	return time.Duration(next - now)
+	return time.Unix(0, base+offset)
 }
 
 // copyState copies the alerting rule and staleness related state from the given group.