Spurs recovered after a slow start to take the lead when former Pompey striker Peter Crouch nodded in a deep cross from Gareth Bale before Nico Kranjcar, another Fratton Park old boy, netted from close range five minutes before the break.
"It has been a good week," said Redknapp, whose side also beat Fulham on Wednesday night to set up their trip to Wembley in a fortnight.
"We are on a terrific run, that is five league wins on the spin now, which has kept us right in the race for fourth spot and we are in good form."
Redknapp added: "Villa now have it all do after their result at Chelsea (a 7-1 loss), which is a massive setback, but Liverpool have got a fantastic run-in and you cannot see them dropping many points.
"But you never know. There are no easy games this time of season and everyone is scrapping for points for all sorts of reasons."