The England winger is crucial to Spurs' top three hopes, but is struggling with hamstring problems.
"I think Aaron will be ready for 90 minutes but you won't get two games out of him next weekend. No chance.
"He'll play one game - whichever one I choose to play him in. He keeps getting little hamstring problems and I think he and the medical people would be a bit wary of playing two games in quick time."
Lennon's team-mates hope Redknapp makes the right call. "I'm very happy personally for him that he is back and in good form," said defender Younes Kaboul. "He proved again that he is a class player with a beautiful assist to Adebayor. I hope that he is not going to have any more injuries."