Spurs have lost their last two Premier League matches and travel to Goodison Park without the injured Michael Dawson, who sustained an ankle injury against Stevenage during the week. Indeed, that FA Cup replay was not needed by a side looking to get some more points on the board.
The visitors can be backed at 13/8 (Stan James free bets) to win this contest, although they will have to improve after shipping five goals at the Emirates a fortnight ago and Redknapp is aware that Everton are tough cookies at the moment.
The Toffees have won their last four home games and that includes Manchester City and Chelsea, with David Moyes once again getting the very best from a squad that has limited resources.
This week, goalkeeper Tim Howard signed a new deal at the Merseyside club and you can get 15/8 (Paddy Power bookmaker) that the American is celebrating at the final whistle, with Everton having climbed to 13th place in recent weeks after a slump during the winter.
Nikica Jelavic is still looking for his first goal since arriving from Rangers and can be backed at 15/2 (Sky Bet) to break the deadlock against Spurs, while Louis Saha will receive an interesting reception if he lines up against a club he recently left under something of a cloud.
Perhaps Jermain Defoe will be given the nod after scoring a brace against Stevenage in the week as Tottenham look to stave off Arsenal and Chelsea.