diff --git a/connection.go b/connection.go
index 3aa0a467..3f71ace6 100644
--- a/connection.go
+++ b/connection.go
@@ -104,6 +104,8 @@ func (cn *connection) pendPiece(piece int, priority piecePriority) {
 	case piecePriorityNow:
 		key -= len(cn.piecePriorities)
 	}
+	// Favour earlier pieces more than later pieces.
+	key -= piece / 2
 	cn.pieceRequestOrder.SetPiece(piece, key)
 }