Whether playing alongside Rafael van der Vaart or Jermain Defoe, the 27-year-old has performed well in the target-man role and has bagged a healthy return of seven goals in 11 matches to move his new club up to third in the Premier League table.
There had been fears that Adebayor would prove to be a disruptive influence at White Hart Lane, but Redknapp has so far managed to keep the charismatic hitman happy and even the fans have warmed to him despite his history with Arsenal.
Redknapp admits it would be difficult to persuade the Togo striker to take a pay cut given that he is on around £170,000 a week at the Etihad Stadium, but he is still determined to sign the player on a permanent basis after being impressed with the start he has made.
"I would like him here full-time. It would be difficult, but we like him," Redknapp said.
"He's done great for us. He gives us loads of movement when he plays, and he's a real handful."
Some had questioned the wisdom of signing Adebayor given his colourful past, but Redknapp has had no problems with the former Real Madrid forward.
"I've enjoyed having him here. He's been as good as gold. He's not been a minute's problem," Redknapp said.
"He just gets on with it. He's an important player for us and he knows that. He's been here 11 games and we've won 10 and drawn one so you certainly can't complain about the start he's had here.
"He's lively. He comes in every day, he enjoys his training and looks like he enjoys being here so it's good.
"I've just been talking to him, telling him how well I think he's done for us and what a key player he is for the team, and we all love that, we all love a pat on the back."
Lampard has spent a lot of time on the Chelsea bench recently, and speculation has been rife that Blues boss Andre Villas-Boas will move to replace the 33-year-old with Luka Modric in January.
Redknapp insisted there was "no chance" he would allow the Croatian to leave White Hart Lane on Saturday and was equally adamant that he would not be making a move to sign Lampard.
"It would be difficult for me to talk about him, to be honest," said Redknapp of his nephew.
"He's made his name at Chelsea, he's a legend at Chelsea and I can't see him leaving Chelsea. I think he's still got a big part to play for Chelsea."
Spurs will move six points ahead of Chelsea on Monday if they stretch their unbeaten run to 12 matches with a win over Stoke at the Britannia Stadium.
Redknapp faces the difficult decision of whether to partner Adebayor with Van der Vaart or Defoe.
Both are in form and have looked sharp this season, and Redknapp admits choosing which player to leave out will be hard.
"It is a problem because I've got respect for both of them as players and lads. They're both top professionals and it's hard not to play them," Redknapp said.
"It's difficult but you've got to do what you think is right.
"You can't always make popular decisions. You've got to do what you feel is right."
The incentives for Tottenham to win are plain to see. Three more points would further underline their status as serious title challengers and they also stand to break two records.
Should Spurs win, they will have registered seven successive victories for the first time since 1967 and a draw will be enough for the club to go 12 games unbeaten for the first time since 1985.
Swansea led 1-0 thanks to Scott Sinclair's 56th-minute effort, which took a huge deflection off Clint Dempsey on its way in, when Fulham substitute Karim Frei won a penalty after tumbling over Jazz Richards with four minutes to go.
But Vorm pulled off his second spot-kick save of the season with an athletic diving stop to his right to deny Dempsey and allow Danny Graham to put a seal on Swansea's fourth win of the campaign by flicking home a Mark Gower corner in added time.
That penalty stop followed on from brilliant saves to keep put Bryan Ruiz and Andrew Johnson efforts and gave Vorm his seventh clean sheet of the season.
And having brought the 28-year-old to south Wales from FC Utrecht for just £1.5million in the summer, Rodgers has no doubt he has secured one of the best goalkeepers in the top flight.
He said: "People will tell you that a good goalkeeper will get you up to 10-plus points and everyone knows we have a top keeper. The speed with which he got there to make the safe was exceptional and he deserves the acclaim, it was very important for us.
"It was a great bit of business for us, it's a steal. He is a good guy, very professional. His family have settled well in Swansea and he is enjoying life in this fantastic league.
"That penalty was a key moment, although it wasn't a penalty. If you look at the replay you can see that Jazz Richards doesn't do anything and the guy kicks his leg, goes over and the referee bought it.
"But as for the save, you see so many goalkeepers try and steal two or three yards off their line but he was near enough to his line going the right way and used a strong arm and that was as much as we deserved because we were the side always trying to make the breakthrough."
Swansea had dominated play for the majority of proceedings but it took Sinclair's fortuitous strike to spark the game, which was hardly making for absorbing viewing, into life.
The goal was Sinclair's fourth of the season, and his first from open play, and Rodgers doesn't see the strike being taken off him despite the deflection which wrong-footed Schwarzer.
He said: "That's him off the mark in open play, so you try and take it off him.
"He was outstanding again, strikers are confidence players but he is always in there looking to score and he is really effective, he is a natural goalscorer.
"He was a real handful, combining well with people to get in the box and he earned his goal and deserved it.
"It was just about what we deserved, after the way we had passed and probed away."
Fulham were without striker Bobby Zamora, who was rested amid speculation that he had had a falling-out with manager Martin Jol.
But the Dutchman played down those rumours when asked about the England forward's absence.
He said: "I made the decision on Thursday to play Andrew Johnson because he works hard in training. The last couple of weeks we played with Mousa Dembele and Bobby up front and I thought the time was there to play Andrew Johnson again.
"I don't have any problem with any player. The only thing I want is for them to give 100 per cent to the club and then there is no problem.
"I need all my players. We have another important game (against Odense) on Wednesday and Bryan Ruiz can't play in Europe, we have a few little injuries so I need all my players.
"He (Zamora ) is probably not the player who is the best substitute so I thought it was better to wait for next week and important games coming up. He wants to play for this club."
Of Dempsey's penalty miss, he added: "After the goal we took control and created chances and to get the penalty at the end, it was awful to see Clint miss but this is football. We had it before against Chelsea, the keeper showed great reflexes."
