Newcastle United lost at Wigan Athletic on Saturday and Arsenal dropped points at Stoke City, but comfortable wins for Spurs and Chelsea today have made it tense beneath the top two.
Redknapp is aware, with games at Bolton Wanderers then Aston Villa coming up, that the race for a top four finish is going to be a close-run one.
“Even before the game it was in our own hands,” he insisted to Sky Sports after the match.
“We’ve got to win our games. It’s going to be tight. We’ve got two really hard away games this week, Bolton who are in good form and then we go to Villa who still need a result probably.
“Then there’s Fulham at home and that’s a very difficult game, we’ll see how we go, we've just got to keep trying to win the games.
“If we win all our games no-one can finish above us, that’s the top and bottom of it.
“We have a much better goal average than Newcastle but we’ve got to win the games.
“Chelsea are looking very dangerous, they’re in fantastic form, but we’ll see how we go.”
The game was petering out until Kyle Walker’s stunning free-kick from 35 yards with 15 minutes on the clock.
“It was a great free-kick,” Redknapp said. “When he stepped up to take it I said ‘don’t shoot from there. You’re never going to beat Robbo [Paul Robinson] from there’ and he put it right in the top corner, so shows you what I know!”
The Spurs right-back won the PFA Young Player of the Year award last weekend, and capped off the memorable week by netting only his second goal in a Tottenham shirt.
“He’s done great,” Redknapp said, praising the 21-year-old. “He’s a young lad, he’s come in [and] he’s learning all the time.
“And he’s got a big future I’m sure. He’s got everything: pace, he’s learning the defensive side of it as well [and] he’s great going forward.”