However, both in the Carling Cup final clash with Manchester United at Wembley last Sunday and in Saturday's 1-1 league draw at Sunderland, the former Leeds starlet was guilty of not making the most of some promising positions by picking out a team-mate in the middle.
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Redknapp is well aware of the quality of the youngster he inherited from Juande Ramos, but admits he needs to take more care with his final ball.
He said: "If Aaron has got one fault, it's his final ball. He's a real threat. He's got that ability and that pace to go at defenders. He's a fantastic talent, but he does need to improve his final ball.
"Sometimes he hits balls across the face of goal, they look great balls but they have got too much pace on them for anyone to deal with.
"Sometimes, he has just got to lay the ball in and put it in that space and let people arrive on to it. He's got to just get that little bit of feel on his final ball."
Redknapp was a relieved man at the Stadium of Light after seeing his side rescue a point from their game in hand on the sides around them at the death.
It was, in Redknapp's eyes, little more than his side deserved and eased them five points clear of the drop zone with 10 games to play.
The trip to Sunderland was Spurs' sixth fixture in 17 days and came at the end of a gruelling week which had brought contrasting fortunes.
A heartbreaking penalty shoot-out defeat at Wembley, which followed closely on the club's Uefa Cup exit, left them with only the league to play for, although Redknapp's enthusiasm remains undimmed.
He said: "I wouldn't swap going to Wembley for anything in the Carling Cup. It was great to have done that.
"But it is all past us now and we have just got the league to look forward to and keep going ahead now."