The Togolese striker has been in good form at White Hart Lane this season and after notching a double against Bolton on Wednesday night, the Spurs boss is eyeing a permanent deal
Adebayor's double saw him move on to 16 goals for the season and his overall contribution was vital to the north Londoners' counterattacking play.
Asked if he would be interested in bringing Adebayor to White Hart Lane permanently, Redknapp told reporters: "Yeah of course. It's two weeks from the end of the season, I'm hardly going to say 'no'.
"I love Adebayor. We'll have to see what happens. I would like him, he has done very well. I haven’t spoken to the chairman yet."
|17/2||Tottenham are 17/2 with Sportingbet to beat Aston Villa 2-0 on Sunday.|
Redknapp insisted, however that Spurs have not made contact with Ajax over the possibility of signing their captain, Jan Vertonghen.
The Tottenham boss said: "[Vertonghen] is a good player. We've watched him, but we haven't spoken to the club. A lot of clubs will be interested."
Spurs picked up a vital win at the Reebok Stadium to maintain fourth place in the Premier League, and Redknapp was delighted with his players' attacking display.
"I'm very pleased," he continued. "We dominated the first half from start to finish and could have been three up, but credit to Bolton they got into us in the second half.
"[Kevin] Davies was backing in, causing problems and then they got the goal. At that stage they looked like the crowd were behind them. They had a great spell where they were the better team, but we showed fantastic ability on the break and punished them."
Tottenham are level on points with fifth-placed Newcastle after the Magpies' excellent win at Chelsea on Wednesday, and the Spurs boss admits their quest for Champions league football will be tight.
Redknapp continued: "Its tight. Newcastle winning at Chelsea, I couldn't see that [Newcastle winning] tonight in all honesty. But it's put them right in there. Man City have got a tough game there on Sunday. [Sir Alex Ferguson] will be thinking this isn't over yet. So it’s all to play for.
"We’ve got to go to Villa who suddenly looked stronger last week. They have some players back, so that’ll be tough.
"Then we have Fulham last game which won’t be easy. Martin Jol will certainly want to come back to Tottenham and do well against us.
"Anything can happen still. There’s not much between us and Arsenal. If you’d have asked me this morning if I would take fourth I’d have snapped your hand off. We still need to secure fourth, let alone third.
Fabrice Muamba attended the game at the Reebok Stadium, just 47 days after suffering a cardiac arrest against Tottenham in March, and Redknapp was delighted to see the midfielder in good spirits.
"It's fantastic. Absolutely brilliant to see him smiling, to see him alive," he insisted. "It’s wonderful. I’ll never forget him getting wheeled down that tunnel. No one thought they'd see him again."