Crooks made the prediction following the Magpies’ 2-1 defeat to Queens Park Rangers away from home at Loftus Road in London on Saturday.
John Carver’s side are currently 17th in the league table with 36 points from 37 matches, two points above Hull City, who are third from bottom at the moment.
Newcastle will face West Ham United on the final day of the season, and Crooks has suggested that the Magpies will fail to win.
Hull will take on Manchester United at Old Trafford next Sunday, while Sunderland, who can also go down, will play Arsenal at the Emirates Stadium on Wednesday and Chelsea at Stamford Bridge on the final day.
“I don't think Newcastle will survive, St James' will be a cauldron next week, and they face a manager who can't wait to send them down,” Crooks said on BBC Sport’s Final Score show.
“Somehow my instincts say Hull against Man United is better than Newcastle against West Ham. This group of Newcastle players have not coped very well in that pressure cooker atmosphere at St James' Park.”
One factor that plays in Newcastle’s favour is that they control their own destiny. A win against West Ham will keep them safe irrespective of results elsewhere.
Playing at home will also be an advantage, especially as the Newcastle fans will pack St. James’ Park to support their team.