diff --git a/app/vmselect/promql/eval.go b/app/vmselect/promql/eval.go
index c47b53a67..8e0883dec 100644
--- a/app/vmselect/promql/eval.go
+++ b/app/vmselect/promql/eval.go
@@ -481,6 +481,13 @@ func evalRollupFuncWithSubquery(ec *EvalConfig, name string, rf rollupFunc, re *
 	if err != nil {
 		return nil, err
 	}
+	if len(tssSQ) == 0 {
+		if name == "absent_over_time" {
+			tss := evalNumber(ec, 1)
+			return tss, nil
+		}
+		return nil, nil
+	}
 
 	sharedTimestamps := getTimestamps(ec.Start, ec.End, ec.Step)
 	preFunc, rcs := getRollupConfigs(name, rf, ec.Start, ec.End, ec.Step, window, ec.LookbackDelta, sharedTimestamps)
@@ -606,10 +613,14 @@ func evalRollupFuncWithMetricExpr(ec *EvalConfig, name string, rf rollupFunc,
 	rssLen := rss.Len()
 	if rssLen == 0 {
 		rss.Cancel()
+		var tss []*timeseries
+		if name == "absent_over_time" {
+			tss = getAbsentTimeseries(ec, me)
+		}
 		// Add missing points until ec.End.
 		// Do not cache the result, since missing points
 		// may be backfilled in the future.
-		tss := mergeTimeseries(tssCached, nil, start, ec)
+		tss = mergeTimeseries(tssCached, tss, start, ec)
 		return tss, nil
 	}
 	sharedTimestamps := getTimestamps(start, ec.End, ec.Step)
diff --git a/app/vmselect/promql/exec_test.go b/app/vmselect/promql/exec_test.go
index a27024121..dd1fabf86 100644
--- a/app/vmselect/promql/exec_test.go
+++ b/app/vmselect/promql/exec_test.go
@@ -532,6 +532,12 @@ func TestExecSuccess(t *testing.T) {
 		resultExpected := []netstorage.Result{}
 		f(q, resultExpected)
 	})
+	t.Run("absent_over_time(time())", func(t *testing.T) {
+		t.Parallel()
+		q := `absent_over_time(time())`
+		resultExpected := []netstorage.Result{}
+		f(q, resultExpected)
+	})
 	t.Run("absent(123)", func(t *testing.T) {
 		t.Parallel()
 		q := `absent(123)`
@@ -555,6 +561,17 @@ func TestExecSuccess(t *testing.T) {
 		resultExpected := []netstorage.Result{r}
 		f(q, resultExpected)
 	})
+	t.Run("absent_over_time(nan[200s:10s])", func(t *testing.T) {
+		t.Parallel()
+		q := `absent_over_time(nan[200s:10s])`
+		r := netstorage.Result{
+			MetricName: metricNameExpected,
+			Values:     []float64{1, 1, 1, 1, 1, 1},
+			Timestamps: timestampsExpected,
+		}
+		resultExpected := []netstorage.Result{r}
+		f(q, resultExpected)
+	})
 	t.Run(`absent(scalar(multi-timeseries))`, func(t *testing.T) {
 		t.Parallel()
 		q := `
@@ -571,6 +588,34 @@ func TestExecSuccess(t *testing.T) {
 		resultExpected := []netstorage.Result{r}
 		f(q, resultExpected)
 	})
+	t.Run(`absent_over_time(scalar(multi-timeseries))`, func(t *testing.T) {
+		t.Parallel()
+		q := `
+		absent_over_time(label_set(scalar(1 or label_set(2, "xx", "foo")), "yy", "foo"))`
+		r := netstorage.Result{
+			MetricName: metricNameExpected,
+			Values:     []float64{1, 1, 1, 1, 1, 1},
+			Timestamps: timestampsExpected,
+		}
+		r.MetricName.Tags = []storage.Tag{{
+			Key:   []byte("yy"),
+			Value: []byte("foo"),
+		}}
+		resultExpected := []netstorage.Result{r}
+		f(q, resultExpected)
+	})
+	t.Run(`absent(time() > 1500)`, func(t *testing.T) {
+		t.Parallel()
+		q := `
+		absent(time() > 1500)`
+		r := netstorage.Result{
+			MetricName: metricNameExpected,
+			Values:     []float64{1, 1, 1, nan, nan, nan},
+			Timestamps: timestampsExpected,
+		}
+		resultExpected := []netstorage.Result{r}
+		f(q, resultExpected)
+	})
 	t.Run("clamp_max(time(), 1400)", func(t *testing.T) {
 		t.Parallel()
 		q := `clamp_max(time(), 1400)`
@@ -3177,11 +3222,11 @@ func TestExecSuccess(t *testing.T) {
 		resultExpected := []netstorage.Result{r}
 		f(q, resultExpected)
 	})
-	t.Run(`topk_min(histogram_over_time)`, func(t *testing.T) {
+	t.Run(`topk_max(histogram_over_time)`, func(t *testing.T) {
 		t.Parallel()
-		q := `topk_min(1, histogram_over_time(alias(label_set(rand(0)*1.3+1.1, "foo", "bar"), "xxx")[200s:5s]))`
+		q := `topk_max(1, histogram_over_time(alias(label_set(rand(0)*1.3+1.1, "foo", "bar"), "xxx")[200s:5s]))`
 		r := netstorage.Result{
-			Values:     []float64{14, 15, 12, 13, 15, 11},
+			Values:     []float64{13, 11, 16, 19, 13, 16},
 			Timestamps: timestampsExpected,
 		}
 		r.MetricName.Tags = []storage.Tag{
@@ -3191,7 +3236,7 @@ func TestExecSuccess(t *testing.T) {
 			},
 			{
 				Key:   []byte("vmrange"),
-				Value: []byte("2.0e0...2.5e0"),
+				Value: []byte("1.5e0...2.0e0"),
 			},
 		}
 		resultExpected := []netstorage.Result{r}
diff --git a/app/vmselect/promql/rollup.go b/app/vmselect/promql/rollup.go
index b74b150e8..cd970b2f0 100644
--- a/app/vmselect/promql/rollup.go
+++ b/app/vmselect/promql/rollup.go
@@ -37,6 +37,7 @@ var rollupFuncs = map[string]newRollupFunc{
 	"quantile_over_time": newRollupQuantile,
 	"stddev_over_time":   newRollupFuncOneArg(rollupStddev),
 	"stdvar_over_time":   newRollupFuncOneArg(rollupStdvar),
+	"absent_over_time":   newRollupFuncOneArg(rollupAbsent),
 
 	// Additional rollup funcs.
 	"sum2_over_time":      newRollupFuncOneArg(rollupSum2),
@@ -793,6 +794,13 @@ func rollupGeomean(rfa *rollupFuncArg) float64 {
 	return math.Pow(p, 1/float64(len(values)))
 }
 
+func rollupAbsent(rfa *rollupFuncArg) float64 {
+	if len(rfa.values) == 0 {
+		return 1
+	}
+	return nan
+}
+
 func rollupCount(rfa *rollupFuncArg) float64 {
 	// There is no need in handling NaNs here, since they must be cleaned up
 	// before calling rollup funcs.
diff --git a/app/vmselect/promql/transform.go b/app/vmselect/promql/transform.go
index f503638e2..9e84556f3 100644
--- a/app/vmselect/promql/transform.go
+++ b/app/vmselect/promql/transform.go
@@ -146,29 +146,10 @@ func transformAbsent(tfa *transformFuncArg) ([]*timeseries, error) {
 		return nil, err
 	}
 	arg := args[0]
-
 	if len(arg) == 0 {
-		// Copy tags from arg
-		rvs := evalNumber(tfa.ec, 1)
-		rv := rvs[0]
-		me, ok := tfa.fe.Args[0].(*metricsql.MetricExpr)
-		if !ok {
-			return rvs, nil
-		}
-		tfs := toTagFilters(me.LabelFilters)
-		for i := range tfs {
-			tf := &tfs[i]
-			if len(tf.Key) == 0 {
-				continue
-			}
-			if tf.IsRegexp || tf.IsNegative {
-				continue
-			}
-			rv.MetricName.AddTagBytes(tf.Key, tf.Value)
-		}
+		rvs := getAbsentTimeseries(tfa.ec, tfa.fe.Args[0])
 		return rvs, nil
 	}
-
 	for _, ts := range arg {
 		ts.MetricName.ResetMetricGroup()
 		for i, v := range ts.Values {
@@ -183,6 +164,28 @@ func transformAbsent(tfa *transformFuncArg) ([]*timeseries, error) {
 	return arg, nil
 }
 
+func getAbsentTimeseries(ec *EvalConfig, arg metricsql.Expr) []*timeseries {
+	// Copy tags from arg
+	rvs := evalNumber(ec, 1)
+	rv := rvs[0]
+	me, ok := arg.(*metricsql.MetricExpr)
+	if !ok {
+		return rvs
+	}
+	tfs := toTagFilters(me.LabelFilters)
+	for i := range tfs {
+		tf := &tfs[i]
+		if len(tf.Key) == 0 {
+			continue
+		}
+		if tf.IsRegexp || tf.IsNegative {
+			continue
+		}
+		rv.MetricName.AddTagBytes(tf.Key, tf.Value)
+	}
+	return rvs
+}
+
 func transformCeil(v float64) float64 {
 	return math.Ceil(v)
 }
diff --git a/lib/metricsql/rollup.go b/lib/metricsql/rollup.go
index 606ac5163..aa3c63c1e 100644
--- a/lib/metricsql/rollup.go
+++ b/lib/metricsql/rollup.go
@@ -26,6 +26,7 @@ var rollupFuncs = map[string]bool{
 	"quantile_over_time": true,
 	"stddev_over_time":   true,
 	"stdvar_over_time":   true,
+	"absent_over_time":   true,
 
 	// Additional rollup funcs.
 	"default_rollup":      true,