Newcastle and Hull are the two sides who are still in danger of getting relegated from the Premier League, with Burnley and Queens Park Rangers having already gone down.
Heading into Sunday’s final round of matches, Newcastle find themselves 17th in the standings with 36 points from 37 games.
John Carver’s team will face West Ham United at St. James’ Park, while Hull - who are two points behind them - will take on Manchester United at the KC Stadium.
Former Leeds United defender Mills believes that Hull will win and Newcastle won’t on the final day of the season.
“I've a feeling that Hull will get a result against Manchester United,” the 38-year-old told The Telegraph. “I can't see Newcastle winning.”
United have already secured their place in the top four of the Premier League and are unlikely to finish third.
This means that Red Devils manager Louis van Gaal can afford to play fringe players and youngsters, which will make it easier for Hull.
However, Newcastle have their destiny in their own hands. If the Magpies win, then they will remain in the Premier League irrespective of the result at the KC Stadium.
The problem is that Carver’s side have lost nine of their last 10 league matches, and there is little reason to believe that they will return to winning ways on Sunday.
Stranger things have happened, though. Never say never.