The former England captain trained with Spurs last season and Redknapp is keen to bring the player back to the club.
Beckham - who recently rejected a move to Paris Saint-Germain - is interesting clubs across Europe, with plenty of Premier League outfits reportedly making moves for the 36-year-old.
"If David wants to come in then of course he can, it's not a problem," Redknapp told reporters.
"I haven't spoken to him about it, but I could do if he wants to come back. We'd love to have him here.
"Could David play for us? It's a difficult one, I wouldn't know about the financial side of all of that. The chairman was dealing with his club last time. But as a fella, to have him around the place every day was brilliant."
Beckham has yet to decide his future since his contract with LA Galaxy expired.