The vastly-experienced coach fancies Arsenal to triumph at the Emirates tonight.
The Gunners were beaten in the their first group game against Dinamo Zagreb – a match that would have been ear-marked as three points – and now welcome the Greek champions to London before taking in back-to-back games with Bayern Munich.
A result tonight is vital before they square off with the German giants, and Redknapp believes Arsenal's recent upturn in form will see them through.
"Tonight’s match against Olympiakos is a massive one for Arsenal and I can see them winning it,” wrote Redknapp on Kicca.
“They had a great result at Leicester and while there’s no margin for error this evening because of their shock defeat at Zagreb, I think they’ll get all the points.”
“They need the win tonight as they’ve two ties against Bayern Munich afterwards. But the victory at a good Leicester side shows they’re improving and back in the hunt for the Premier League title.”
Gunners fans will hope Redknapp’s predictions prove accurate, and a win tonight would cap off a fantastic week for Arsene Wenger’s men.
A much-changed Arsenal side got the better of bitter rivals Spurs in the League Cup last Wednesday, before recording an impressive 5-2 win away at high-flying Leicester on Saturday.
Pre-season speculation had Arsenal among the favourites for the title, but their start to the season has been mixed and tonight’s European clash is a chance to lay down a marker for the coming weeks.