diff --git a/tsdb/index/postings.go b/tsdb/index/postings.go
index 69a20b08b..3f7b63a60 100644
--- a/tsdb/index/postings.go
+++ b/tsdb/index/postings.go
@@ -846,18 +846,17 @@ func FindIntersectingPostings(p Postings, candidates []Postings) (indexes []int,
 			return nil, it.Err()
 		}
 	}
-	if len(h) == 0 {
+	if h.empty() {
 		return nil, nil
 	}
 	h.Init()
 
-	for len(h) > 0 {
+	for !h.empty() {
 		if !p.Seek(h.At()) {
 			return indexes, p.Err()
 		}
 		if p.At() == h.At() {
-			found := heap.Pop(&h).(postingsWithIndex)
-			indexes = append(indexes, found.index)
+			indexes = append(indexes, h.popIndex())
 		} else if err := h.Next(); err != nil {
 			return nil, err
 		}
@@ -869,10 +868,29 @@ func FindIntersectingPostings(p Postings, candidates []Postings) (indexes []int,
 type postingsWithIndex struct {
 	index int
 	p     Postings
+	// popped means that this postings shouldn't be considered anymore.
+	// See popIndex() comment to understand why we need this.
+	popped bool
 }
 
 type postingsWithIndexHeap []postingsWithIndex
 
+// empty checks whether the heap is empty, which is true if it has no elements, of if the smallest element is popped.
+func (h *postingsWithIndexHeap) empty() bool {
+	return len(*h) == 0 || (*h)[0].popped
+}
+
+// popIndex pops the smallest heap element and returns its index.
+// In our implementation we don't actually do heap.Pop(), instead we mark the element as `popped` and fix its position, which
+// should be after all the non-popped elements according to our sorting strategy.
+// By skipping the `heap.Pop()` call we avoid an extra allocation in this heap's Pop() implementation which returns an interface{}.
+func (h *postingsWithIndexHeap) popIndex() int {
+	index := (*h)[0].index
+	(*h)[0].popped = true
+	heap.Fix(h, 0)
+	return index
+}
+
 func (h *postingsWithIndexHeap) Init()                { heap.Init(h) }
 func (h postingsWithIndexHeap) At() storage.SeriesRef { return h[0].p.At() }
 func (h *postingsWithIndexHeap) Next() error {
@@ -886,14 +904,18 @@ func (h *postingsWithIndexHeap) Next() error {
 	if err := pi.p.Err(); err != nil {
 		return errors.Wrapf(err, "postings %d", pi.index)
 	}
-
-	heap.Pop(h)
+	h.popIndex()
 	return nil
 }
 
-func (h postingsWithIndexHeap) Len() int           { return len(h) }
-func (h postingsWithIndexHeap) Less(i, j int) bool { return h[i].p.At() < h[j].p.At() }
-func (h *postingsWithIndexHeap) Swap(i, j int)     { (*h)[i], (*h)[j] = (*h)[j], (*h)[i] }
+func (h postingsWithIndexHeap) Len() int { return len(h) }
+func (h postingsWithIndexHeap) Less(i, j int) bool {
+	if h[i].popped != h[j].popped {
+		return h[j].popped
+	}
+	return h[i].p.At() < h[j].p.At()
+}
+func (h *postingsWithIndexHeap) Swap(i, j int) { (*h)[i], (*h)[j] = (*h)[j], (*h)[i] }
 
 func (h *postingsWithIndexHeap) Push(x interface{}) {
 	*h = append(*h, x.(postingsWithIndex))
@@ -901,6 +923,7 @@ func (h *postingsWithIndexHeap) Push(x interface{}) {
 
 // Pop implements heap.Interface and pops the last element, which is NOT the min element,
 // so this doesn't return the same heap.Pop()
+// Although this method is implemented for correctness, we don't expect it to be used, see popIndex() method for details.
 func (h *postingsWithIndexHeap) Pop() interface{} {
 	old := *h
 	n := len(old)
diff --git a/tsdb/index/postings_test.go b/tsdb/index/postings_test.go
index 4eaa9a080..888725f8d 100644
--- a/tsdb/index/postings_test.go
+++ b/tsdb/index/postings_test.go
@@ -1047,7 +1047,7 @@ func TestPostingsWithIndexHeap(t *testing.T) {
 			require.Equal(t, expected, h.At())
 			require.NoError(t, h.Next())
 		}
-		require.Empty(t, h)
+		require.True(t, h.empty())
 	})
 
 	t.Run("pop", func(t *testing.T) {