The 50-year-old, who held talks with managing director Lee Charnley on Sunday after a disastrous 3-0 defeat at Leicester, has just three games to drag the club back from the brink, starting with tomorrow’s showdown with West Brom at St James’ Park.
But he will head into it adamant he must believe he is the best at what he does.
Carver said: “I still think I’m the best coach in the Premier League. That’s what I think. Now there’s nothing wrong with that, but I still do.
“If I have the right tools, I can do the job. I’m doing the job to the best of my ability at the moment and I’ll continue doing that for the next three weeks.”
Carver has won just two of the 16 league games for which he has been in charge after replacing Alan Pardew in January, and his team has collected only nine points from a possible 48 in the process.
Newcastle approach the weekend only two points clear of the drop zone, but their head coach is refusing to throw in the towel and is confident he has the continued support of Charnley and owner Mike Ashley.
The club issued a statement on Monday confirming Carver would remain in charge for the final three games of the season.
Asked if his job is safe, he said: “It’s safe because the statement went out and what the statement said was true, so I don’t really want to go into too much detail.”