client.go  | 4 +++-
 torrent.go | 6 +++++-

diff --git a/client.go b/client.go
index 663d1a01319ab1e1912a8b3c3ebb90491f12ac45..6d86c41af4e30b18724eefbc1d2082b40f3e7954 100644
--- a/client.go
+++ b/client.go
@@ -2497,7 +2497,9 @@ 		me.onCompletedPiece(t, piece)
 	} else {
 		me.onFailedPiece(t, piece)
 	}
-	t.updatePiecePriority(piece)
+	if t.updatePiecePriority(piece) {
+		t.piecePriorityChanged(piece)
+	}
 	t.publishPieceChange(piece)
 }
 
diff --git a/torrent.go b/torrent.go
index 01bc9005f4e98336a5dc539af953c25c1e0c6783..c8e5e5ba3d351256d0e54432333940b0a264183b 100644
--- a/torrent.go
+++ b/torrent.go
@@ -860,6 +860,8 @@ 	p.priority = newPrio
 	return true
 }
 
+// Update all piece priorities in one hit. This function should have the same
+// output as updatePiecePriority, but across all pieces.
 func (t *torrent) updatePiecePriorities() {
 	newPrios := make([]piecePriority, t.numPieces())
 	t.pendingPieces.IterTyped(func(piece int) (more bool) {
@@ -875,8 +877,10 @@ 			newPrios[i].Raise(PiecePriorityReadahead)
 		}
 		return true
 	})
-	// TODO: Do I need a pass suppressing stuff that we already have?
 	for i, prio := range newPrios {
+		if t.pieceComplete(i) {
+			prio = PiecePriorityNone
+		}
 		if prio != t.Pieces[i].priority {
 			t.Pieces[i].priority = prio
 			t.piecePriorityChanged(i)