The north London club scored 55 league goals last season - 17 less than Arsenal - but Redknapp is now sure that, in Adebayor, he has found a marksman capable of scoring the goals to put Spurs back among Europe's elite next term.
"He couldn't have had a better start for us," Redknapp said.
"If he has a great season he can take us to where we want to be.
"He is a really good player. There is no doubting his ability and Jermain Defoe has linked up well with him.
"He is full of enthusiasm. He trains, runs around like he is enjoying himself. He is full of the joys of spring.
"He always wants to get the ball and the lads have enjoyed having him. He could be a great player for us this year."
For Redknapp, perhaps the biggest joy associated with Adebayor's arrival has been his partnership with Defoe.
Redknapp is quick to point out that Adebayor is not the only reason why Defoe has found form again, pointing to some hard work that 28-year-old undertook with French trainer Tiberius Darau as another important factor.
"I am a big fan of his but last year he had a stop-start season," Redknapp added.
"In the summer he went to France to work with a fitness coach and spent a large part of the summer working with this guy one on one doing three sessions a day - one early in the morning, one in the afternoon and another in the evening.
"He came back stronger and fitter and he feels in great, sharp form.
"He is now looking stronger and he is looking like the player who I signed as a 15-year-old."