That is the opinion of former England boss Glenn Hoddle.
The ex-Spurs manager believes Bruce deserves to see out his contract, which ends at the conclusion of next season.
Newcastle picked up a 3-2 win over West Ham United to create an eight point gap to the relegation zone in the Premier League.
"I think Steve will stay. He's working hard to make sure the club stays in the Premier League," Hoddle told the Glenn Hoddle Footy Show podcast.
"Why would he move on?
"He would want to be backed and see if he could take Newcastle to a different level."