Steve Bruce has indicated that he has no intention of leaving the club.
replaced Rafa Benitez in July 2019 and guided the club to a 13th-place finish in his first campaign in charge.
But they are in a much worse situation as they have only collected two points from their last six matches and with their Carabao Cup and FA Cup exits to Brentford and Arsenal, Bruce has come increasingly under fire.
And now their 1-0 defeat against Sheffield United on Tuesday has put more pressure on the 60-year-old manager.
However, he seems he has no intention of leaving the club on his own.
"I'll never ever walk away from a challenge," he said. "I've been in it long enough to have that respect, but I understand - especially watching the first half - we weren't good enough and I take the responsibility for that because I picked the team.
"We've been trying something different because over the last few weeks we've struggled going forward, so my thoughts were to get Ryan, someone fresh, and Sean higher up the pitch where he could be a goal threat. Unfortunately, that didn't happen.
"I think we've had, apart from the last month which we knew would be difficult with the run of fixtures we've had, we've given ourselves a decent start to the season."
He was also upset about the VAR-assisted decision to hand Chris Wilder's hosts a penalty for a handball against Federico Fernandez as it was originally decided to let play continue.
"I have to say the decision for the penalty is poor," Bruce added. "I thought the referee got it spot on when he didn't give it. We've spoken about it too much, we might not have got anything from the game but for it to be decided on something like that is poor."