Sunderland boss David Moyes accepted questions would be asked about his future after their "dire" performance in their 4-1 loss at Burnley.
The Black Cats end 2016 in the Premier League relegation zone after Burnley's Andre Gray scored a hat-trick and Ashley Barnes converted a penalty.
"It was a poor performance - really, really bad - and defensively we were all over the place," said Moyes.
"The players have to take responsibility as well as me."
He added: "You can ask me questions about myself and my future, that's fine. We're in the bottom three, I know that.