Rangers have taken only four points from their opening 13 fixtures, and new boss Redknapp has admitted there is no cash in the kitty to sign reinforcements during the January transfer window. That points to a move for Beckham, who is preparing to leave Los Angeles Galaxy after their MLS Cup clash with Houston Dynamo next Saturday.
"I'm sure he could still play in the Premier League," Redknapp told BBC Radio Five Live's Sportsweek programme. "He is a top player and a fantastic person. We had him at Tottenham training and he was amazing around the place, absolute class."
He went on: "I haven't discussed it with the chairman (Tony Fernandes) at the moment so we'd have to look at that but David could still certainly be a great asset to anybody, showing people how to train, how to look after yourself. His professionalism is second to none."
A need to be creative in the January transfer market should certainly play to Redknapp's strengths.
Yet the clear problem is a massive wage bill, swollen by the 11 new arrivals last summer, players former boss Mark Hughes' deputy Mark Bowen insisted on Saturday were good enough for what lies ahead, even if they have rarely shown it.
"It has been difficult because so many new players came in at the start of the season," said Bowen. "We firmly believe they are top players but getting to grips with the pace and the power and intensity of the Premier League has been a problem."
Redknapp has five weeks and eight games to assess how many are up to the task before he can do something about it, knowing if results do not improve during that time, Rangers can forget about preserving their top-flight status anyway.
"They brought a lot of players in in the summer so I don't see an awful lot more coming in in the window," he said. "You can't just keep loading up the squad with more players. If things don't go right you're going to end up being in big trouble financially. We are really maybe looking at one or two loans in the window.
"There's a decent enough squad here but for whatever reason something's wrong. The manager's the one who's suffered but to have four points from 13 games is pretty horrendous and the players really have got to take responsibility."
Source: PA
Source: PA