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 Redknapp has been so impressed with the midfielder's contribution that he would welcome him back with open arms.
When asked whether he thought Beckham would be open to a return to the club, the 63-year-old 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'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 can still pick 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."
Source: PA
Source: PA