The Los Angeles Galaxy midfielder was given the green light to join in with the Spurs squad on Monday after completing a series of fitness tests at the club's training ground in Chigwell, Essex.
Redknapp revealed Spurs had not yet given up all hope of brokering a deal to get Beckham into action on the pitch.
"There is nothing at the moment, but we will see what happens, who knows?" Redknapp told Sky Sports News.
"I am not dealing with that side, but it is good to have him here.
"David is a top player and a fantastic boy. Everyone respects David and looks up to him so it was good to have him here."
Source: PA
Source: PA