Indeed, Newcastle face Southampton and Redknapp is predicting a 0-0 draw at St James' Park - although that's hardly a criticism given the quality of the Saints.
But the former Premier League manager has put the pressure on boss Steve McClaren, who he feels is in a great job.
Redknapp says the Magpies head coach must stem the tide at St James' Park and oversee a Newcastle side that pushes on instead of continuing their recent trend of underachievement.
He told Kicca: "It's a great job for Steve McClaren. They've got a couple of players in and they've been underachieving for too long; they really need to push on this year. I think it'll be 0-0 [against Southampton]."
Meanwhile, a tough week for West Ham is about to get worse, according to Redknapp.
The 68-year-old feels Arsenal will be too strong for the east London side and has gone as far as predicting a 3-0 win for the Gunners. West Ham were knocked out of Europe on Thursday night and, while few will be backing the Upton Park outfit to leave the Emirates with a victory, Redknapp's suggested outcome would see frustration rise at the club.
He added: "I'd love to the see the Hammers win but I can't see it happening. I think Arsenal will be too strong and I can see them winning 3-0."