On West Ham United, Redknapp's prediction is in keeping with the rest of the mood at Upton Park. It's a negative one.
Indeed, he wrote on Kicca: "Liverpool 3-1 West Ham. Liverpool looked good during the first half against Arsenal and at home they’ll win this."
As the former West Ham boss suggests, Liverpool look far more solid than last season's struggling side and the Hammers, their Arsenal win aside, have looked all at sea.
No new signings have yet come in to boost Slaven Bilic's side since their Bournemouth defeat and the east London club will have their work cut out trying to stop the Reds from scoring.
But, on Spurs, Redknapp said: "Tottenham 2-1 Everton. Spurs will edge this thanks to being at home and get their first win of the season."
Despite Tottenham's home advantage, that's one of the former manager's bolder predictions of the season so far. The north London side have struggled in their opening three games, failing to win and surrendering leads.
And, while the Toffees were beaten by Manchester City last weekend, they showed what they are capable of during a 3-0 win at Southampton two weeks ago.