The Black Cats are currently second bottom and have a difficult few weeks ahead.
Despite enjoying something of a revival under Sam Allardyce, the Black Cats find themselves second bottom of the Premier League, two points adrift of safety, following Saturday's defeat to Watford.
And with Chelsea, Manchester City and Liverpool to face in their next three games, Jones has admitted that his side will need to pull off something special if they wish to improve their survival chances (via the Echo).
"We have to accept that the fixtures coming up are going to be really, really tough, but we have to put in performances that can win the games," he said.
"If you look at recent weeks, at those coupon-busters, they make a difference. We've got a few of them coming up, so that's what we have to do.
"People might write us off and have us as the underdogs, but we have to put in the performances to get a result."
While Sunderland's chances of ending December outside of the bottom three currently look slim, the club can take great heart from what Bournemouth have achieved in their two most recent games.
Eddie Howe's side went to Stamford Bridge and won, and followed that up by defeating Manchester United at Dean Court this weekend to give themselves a bit of breathing space from the bottom three.
And with Allardyce's ability to deploy tactics designed to frustrate opponents, it would not be a surprise if Sunderland followed the Cherries' example and came through their difficult run of games with a promising number of points.