Beckham had hoped to turn out for Spurs when he began has training spell with the club last month but negotiations between the Los Angeles Galaxy and Tottenham chairman Daniel Levy broke down. The 35-year-old will return to the United States later this week in what is expected to be his last season in Major League Soccer.
His contract is up in November and when asked whether Beckham would be open to a return to the club, Redknapp replied: "Yes, I think he would like to see what the future holds for him - he's a busy lad, his life must be unbelievable, but when you get a lad who wants to come here and train every day when he could be sitting at home having a month's rest, it tells you everything about him. He loves football."
He added: "He's been great to have around the place and he's just a top-class bloke, a proper good lad. He's welcome back any time.
"He can still play, he still picks a pass out. I've not looked into bringing him back in November - the chairman would need to look at that, I don't know what the financial side of it would be - I wouldn't have a clue how much it would cost."
Redknapp takes his patched-up side to Blackpool on Tuesday night hoping to leapfrog Manchester City into third position.
Spurs have seamlessly taken to the task of juggling domestic and European commitments this year, beating AC Milan and Inter Milan to get within touching distance of the last eight in what is their first appearance in the Champions League.
Redknapp's spending has been small in comparison to rivals Manchester City and Chelsea and that, the Spurs boss insists, means that the club should see qualification for next year's competition as a bonus rather than a necessity.
"It would be a miracle if we did qualified," Redknapp said. "I think people get carried away thinking Tottenham should be in the Champions League. Why should we be in the Champions League?
"We'd never been in the Champions League before, suddenly we do it and it's 'oh well we should do it again'. Look at Man City and Chelsea's wage bill. Have a look at the money they pay out. Why should we finish above them?"
Source: PA
Source: PA