Spurs returned to league action following their FA Cup exploits against Fulham in midweek with a 2-0 win against Pompey at White Hart Lane on Saturday afternoon.
"It has been a good week," Redknapp said after the match.
"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.
"It was a difficult game. Coming into the game I had a funny feeling it was going to be a tough one but, once we were 2-0 up, the game fizzled out.
"It's a vital three points for us. We've got a tough run-in against the top three but we can give anyone a game.
"There are no easy games at this time of the season and everyone is scrapping for points for all sorts of reasons."