diff --git a/cmd/bisync/listing.go b/cmd/bisync/listing.go
index b316ceb0d..1a15fe56a 100644
--- a/cmd/bisync/listing.go
+++ b/cmd/bisync/listing.go
@@ -707,8 +707,7 @@ func (b *bisyncRun) modifyListing(ctx context.Context, src fs.Fs, dst fs.Fs, res
 		prettyprint(dstList.list, "dstList", fs.LogLevelDebug)
 
 		// clear stats so we only do this once
-		accounting.MaxCompletedTransfers = 0
-		accounting.Stats(ctx).PruneTransfers()
+		accounting.Stats(ctx).RemoveDoneTransfers()
 	}
 
 	if b.DebugName != "" {
diff --git a/fs/accounting/stats.go b/fs/accounting/stats.go
index 64f160953..6681764e5 100644
--- a/fs/accounting/stats.go
+++ b/fs/accounting/stats.go
@@ -912,22 +912,31 @@ func (s *StatsInfo) RemoveTransfer(transfer *Transfer) {
 }
 
 // PruneTransfers makes sure there aren't too many old transfers by removing
-// single finished transfer.
-func (s *StatsInfo) PruneTransfers() {
+// a single finished transfer. Returns true if it removed a transfer.
+func (s *StatsInfo) PruneTransfers() bool {
 	if MaxCompletedTransfers < 0 {
-		return
+		return false
 	}
+	removed := false
 	s.mu.Lock()
 	// remove a transfer from the start if we are over quota
 	if len(s.startedTransfers) > MaxCompletedTransfers+s.ci.Transfers {
 		for i, tr := range s.startedTransfers {
 			if tr.IsDone() {
 				s._removeTransfer(tr, i)
+				removed = true
 				break
 			}
 		}
 	}
 	s.mu.Unlock()
+	return removed
+}
+
+// RemoveDoneTransfers removes all Done transfers.
+func (s *StatsInfo) RemoveDoneTransfers() {
+	for s.PruneTransfers() {
+	}
 }
 
 // AddServerSideMove counts a server side move
diff --git a/fs/accounting/stats_test.go b/fs/accounting/stats_test.go
index 6fcc09837..317cd07cd 100644
--- a/fs/accounting/stats_test.go
+++ b/fs/accounting/stats_test.go
@@ -465,3 +465,27 @@ func TestPruneTransfers(t *testing.T) {
 		})
 	}
 }
+
+func TestRemoveDoneTransfers(t *testing.T) {
+	ctx := context.Background()
+	s := NewStats(ctx)
+	const transfers = 10
+	for i := int64(1); i <= int64(transfers); i++ {
+		s.AddTransfer(&Transfer{
+			startedAt:   time.Unix(i, 0),
+			completedAt: time.Unix(i+1, 0),
+		})
+	}
+
+	s.mu.Lock()
+	assert.Equal(t, time.Duration(transfers)*time.Second, s._totalDuration())
+	assert.Equal(t, transfers, len(s.startedTransfers))
+	s.mu.Unlock()
+
+	s.RemoveDoneTransfers()
+
+	s.mu.Lock()
+	assert.Equal(t, time.Duration(transfers)*time.Second, s._totalDuration())
+	assert.Equal(t, transfers, len(s.startedTransfers))
+	s.mu.Unlock()
+}