As revealed by skysports.com earlier on Tuesday Blackburn have agreed a fee with Spurs for Chimbonda.
The player travelled to Ewood Park on Wednesday as Redknapp took his side to Doncaster where they thumped the Championship side 5-1 in the Carling Cup second round.
Redknapp named just six of a possible seven substitutes as Chimbonda left the squad on the way to the Keepmoat Stadium to finalise a £2million switch when he was originally expected to take his place on the bench.
"Well I sold one (a player) on the way up here, we sold Chimbonda," Redknapp told Sky Sports News.
"Well I think he was sold, he came up on the plane then he travelled across to Blackburn I think.
"The chairman agreed a fee with Blackburn for him so he travelled over there. I don't know if the deal has been done but certainly it's very close to being done so we ended up one short but it's not a problem.
Cup winSpurs continued their fine goalscoring form into the Carling Cup and were 3-0 up at the break with goals from Tom Huddlestone, Jamie O'Hara and a first for Peter Crouch.
However, the opening goal came against the run of play as the home side rattled Tottenham in the opening stages, for which Redknapp was willing to give them credit for.
Redknapp said: "It was amazing they started so well, and our keeper had to pull off some great saves but they did look lively as they passed the ball and their movement
"I said to Joe Jordan after about six minutes - 'Is this Real Madrid?' I mean they were playing some unbelievable stuff but then we scored a couple of goals and it was difficult after that.
The win is a reminder to the rest of the Premier League just how strong the Tottenham squad is as Redknapp rested a number of key players to allow fringe players a chance to impress.
"I managed to rest a few and we've got a strong squad so I could change the front two forwards and Crouchie came in and scored which is great.
"Pavlyuchenko and Gio [Giovani Dos Santos] and David Bentley got a chance to play in those wide positions and were lively and it was a good all round performance.
With his team sitting top of the Premier League table and safely through to the Carling Cup third round, the Spurs boss could be forgiven for not making use of the remainder of the transfer window.
However, Redknapp knows there is always room for improvement and has not ruled out adding to his squad before next week's deadline, despite being happy with what is at his disposal.
"We're not short really in any area," he added. "All I ever said was if we could find anyone who could make a difference to us in a certain position we might try and get somebody.
"There's one or two players who I've got in mind and if we could get one of them I'd be very happy but if not we'll crack on because we've got a good squad."
Home SideThe home side started well and forced two outstanding saves from Carlo Cudicini while they also hit the woodwork twice and scored through Martin Woods' penalty in the second half.
Rovers boss Sean O'Driscoll was not too disheartened by his side's defeat insisting the game was a good spectacle despite the heavy loss.
"I thought it was a thoroughly entertaining game," O'Driscoll said.
"Football was the winner. We knew it would be a difficult ask, but we made our own problems. Generally, I don't think you can fault anyone for doing what we tried to do."
O'Driscoll was philosophical about Adam Lockwood's early error that allowed Huddlestone to open the scoring, believing it was a consequence of his men trying to play in the right way.
"You get used to it in football," he added. "Sometimes you have to take goals like the first one on the chin. The alternative is to hit it back to front which is not going to get us anywhere.
"Credit to them (Tottenham). They played the game the right way and they never stopped. Harry has got them believing they can achieve something and he wants to make sure their foot is firmly on the gas. It was a good test for us."