Gary Neville believes that Everton will have enough under new manager Frank Lampard to avoid relegation from the Premier League.
But the former Manchester United and England star feels that losing the likes of Leeds United or Brentford back to the Championship would be bad news for the top flight.
The Sky Sports pundit was asked about his thoughts on the battle to avoid the drop after Newcastle United's vital 1-0 victory against Aston Villa on Sunday afternoon.
Neville said: “I think Everton will get out of it. I think Leeds could get dragged in. Brentford, I would be worried about. They have played a few more games. That Newcastle team. That performance isn’t going down.
READ MORE: Rafa Benitez breaks silence and reveals next steps after Everton sacking
READ MORE: Four things spotted in behind scenes footage as Everton beat Leeds United
“There’s no doubt that there are one or two of those sides, Leeds and Brentford, who could get dragged back into if they are not careful.
“They would be big losses to the Premier League, by the way. But Brentford and Leeds have brought a lot. I always see great games when those two are playing. But that won’t count for anything.”
Everton ended a run of four straight Premier League defeats on Saturday with a morale-boosting 3-0 win against Leeds at Goodison Park.
But Newcastle's victory against Villa on Sunday - their third on the spin - puts the Toon Army just a point behind Lampard's side.
All three teams in the relegation zone - Norwich City, Watford and Burnley - lost at the weekend, giving Everton a five-point cushion above the drop zone.
But Everton's next two matches are tricky encounters, away to a rapidly-improving Southampton and then home to league-leaders Manchester City.