The Magpies had to come from behind at Turf Moor, but goals from Allan Saint-Maximin and Jacob Murphy were enough to seal the win and move Steve Bruce’s men six points clear of the drop zone.
Speaking after the match, the manager reserved praise for the Frenchman in particular.
He said: “Allan’s missed half a season.
“They [Saint-Maximin and Callum Wilson] both had muscle injuries, so I think it made sense [to start them on the bench.
"They made an impact. Probably only Allan can do that. Let’s hope they stay well.
“That’s been the key. I think that was his [Saint-Maximin's] 18th appearance. Our big players haven’t been available. You need your big players. He’s a very talented player, who hasn’t been available for half a season. It’s been a struggle without them.”
“It’s three points towards that magical figure. You’ got to gt to that figure. It [the club’s position] is certainly a lot more healthy today than it was this morning.”
The Toon Army’s next game is against high-flying West Ham.
The Hammers are pushing hard for a Champions League spot this season, and have lost just one of their previous five top flight outings.
Bruce’s men beat them 2-0 on the opening day of the season, however.
Here are today's biggest transfer stories and the latest team news involving Newcastle and the rest of the Premier League, as the reaction to last weekend's action continues:
1. Aguero could still join Leeds
Sergio Aguero has not closed the door on a potential move to Leeds United this summer. (Mundo Deportivo) (Photo by Gareth Copley/Getty Images) Photo: Gareth Copley
2. Bielsa touted for Napoli job
FIFA agent Massimo Grillo believes Leeds United manager Marcelo Bielsa would be a great fit for Napoli club. He said: “I am a great admirer of Bielsa, currently on the Leeds bench he is a coach who has a very spectacular game system. I would see him really well on the blue bench, I am convinced that he would show captivating football.” (Per Sempre Napoli) (Photo by Tim Keeton - Pool/Getty Images) Photo: Pool
3. Burnley set for Williams battle
Birmingham City are rivalling Premier League side Burnley to the potential signing of West Brom youngster Harry Williams. (Birmingham Live) (Photo by Stu Forster/Getty Images) Photo: Stu Forster
4. Spurs must sell players to land Pope
Tottenham must sell players this summer before they can make a move for Burnley goalkeeper Nick Pope. (Daily Mail) (Photo by Clive Brunskill/Getty Images) Photo: Clive Brunskill