The manager also suggested that the 24-year-old, who has been sidelined since the club's 5-1 defeat to Manchester City in August, could feature in Sunday's North London derby against Arsenal.
"Aaron is fine and will play tomorrow," Redknapp told the club's official website.
"It will be great to have him back and if he gets through tomorrow, he could be available for the weekend."
Redknapp also hinted that Danny Rose and Steven Pienaar could make appearances against the Irish side.
"We have some lads coming back who need games like Aaron, Danny Rose has been out and he's fit and available, I'm also hoping Steven Pienaar will be fit to play a part," he added.
"We've a stronger, more experienced team tomorrow and a chance to play some of the lads who didn't play at the weekend."
Spurs are currently third in Group A following their goalless draw with PAOK Salonika two weeks ago.