diff --git a/app/vmselect/promql/rollup.go b/app/vmselect/promql/rollup.go
index d7c742bec..9348c54e0 100644
--- a/app/vmselect/promql/rollup.go
+++ b/app/vmselect/promql/rollup.go
@@ -4,6 +4,7 @@ import (
 	"flag"
 	"fmt"
 	"math"
+	"strconv"
 	"strings"
 	"sync"
 
@@ -148,6 +149,11 @@ var rollupAggrFuncs = map[string]rollupFunc{
 	"zscore_over_time":        rollupZScoreOverTime,
 }
 
+// rollupAggrFuncsWithParam are functions with a single additional parameter that can be passed to `aggr_over_time()`
+var rollupAggrFuncsWithParam = map[string]func(float64) rollupFunc{
+	"quantile_over_time": newRollupQuantileFromPhi,
+}
+
 // VictoriaMetrics can extends lookbehind window for these functions
 // in order to make sure it contains enough points for returning non-empty results.
 //
@@ -234,7 +240,41 @@ var rollupFuncsKeepMetricName = map[string]bool{
 	"timestamp_with_name":   true,
 }
 
-func getRollupAggrFuncNames(expr metricsql.Expr) ([]string, error) {
+type rollupAggrFunc struct {
+	// The function.
+	rf rollupFunc
+
+	// The name of the function as given in syntax and above maps.
+	name string
+
+	// The rollup tag.
+	tag string
+}
+
+func getRollupAggrFunc(s string) (rollupAggrFunc, error) {
+	if rf, ok := rollupAggrFuncs[s]; ok {
+		return rollupAggrFunc{
+			rf:   rf,
+			name: s,
+			tag:  s,
+		}, nil
+	}
+	if i := strings.IndexByte(s, '('); i > 0 && s[len(s)-1] == ')' {
+		name := s[0:i]
+		if pf, ok := rollupAggrFuncsWithParam[name]; ok {
+			if param, err := strconv.ParseFloat(s[i+1:len(s)-1], 64); err == nil {
+				return rollupAggrFunc{
+					rf:   pf(param),
+					name: name,
+					tag:  s,
+				}, nil
+			}
+		}
+	}
+	return rollupAggrFunc{}, fmt.Errorf("%q cannot be used in `aggr_over_time` function; expecting quoted aggregate function name", s)
+}
+
+func getRollupAggrFuncs(expr metricsql.Expr) ([]rollupAggrFunc, error) {
 	afe, ok := expr.(*metricsql.AggrFuncExpr)
 	if ok {
 		// This is for incremental aggregate function case:
@@ -275,12 +315,14 @@ func getRollupAggrFuncNames(expr metricsql.Expr) ([]string, error) {
 	if len(aggrFuncNames) == 0 {
 		return nil, fmt.Errorf("aggr_over_time() must contain at least a single aggregate function name")
 	}
-	for _, s := range aggrFuncNames {
-		if rollupAggrFuncs[s] == nil {
-			return nil, fmt.Errorf("%q cannot be used in `aggr_over_time` function; expecting quoted aggregate function name", s)
+	aggrFuncs := make([]rollupAggrFunc, len(aggrFuncNames))
+	for i, s := range aggrFuncNames {
+		var err error
+		if aggrFuncs[i], err = getRollupAggrFunc(s); err != nil {
+			return nil, err
 		}
 	}
-	return aggrFuncNames, nil
+	return aggrFuncs, nil
 }
 
 // getRollupTag returns the possible second arg from the expr.
@@ -430,19 +472,18 @@ func getRollupConfigs(funcName string, rf rollupFunc, expr metricsql.Expr, start
 		}
 		rcs, err = appendRollupConfigs(rcs, expr)
 	case "aggr_over_time":
-		aggrFuncNames, err := getRollupAggrFuncNames(expr)
+		aggrFuncs, err := getRollupAggrFuncs(expr)
 		if err != nil {
 			return nil, nil, fmt.Errorf("invalid args to %s: %w", expr.AppendString(nil), err)
 		}
-		for _, aggrFuncName := range aggrFuncNames {
-			if rollupFuncsRemoveCounterResets[aggrFuncName] {
+		for _, aggrFunc := range aggrFuncs {
+			if rollupFuncsRemoveCounterResets[aggrFunc.name] {
 				// There is no need to save the previous preFunc, since it is either empty or the same.
 				preFunc = func(values []float64, timestamps []int64) {
 					removeCounterResets(values)
 				}
 			}
-			rf := rollupAggrFuncs[aggrFuncName]
-			rcs = append(rcs, newRollupConfig(rf, aggrFuncName))
+			rcs = append(rcs, newRollupConfig(aggrFunc.rf, aggrFunc.tag))
 		}
 	default:
 		rcs = append(rcs, newRollupConfig(rf, ""))
@@ -1291,15 +1332,17 @@ func newRollupQuantile(args []interface{}) (rollupFunc, error) {
 	if err != nil {
 		return nil, err
 	}
-	rf := func(rfa *rollupFuncArg) float64 {
+	return newRollupQuantileFromPhi(phis[0]), nil
+}
+
+func newRollupQuantileFromPhi(phi float64) rollupFunc {
+	return func(rfa *rollupFuncArg) float64 {
 		// There is no need in handling NaNs here, since they must be cleaned up
 		// before calling rollup funcs.
 		values := rfa.values
-		phi := phis[rfa.idx]
 		qv := quantile(phi, values)
 		return qv
 	}
-	return rf, nil
 }
 
 func rollupMAD(rfa *rollupFuncArg) float64 {