LA Galaxy are reluctant to sanction any deal that would rule Beckham, 35, out of the start of the MLS season, which begins on March 15.
Beckham by numbers: Is No 77 the star's latest addition? Hat's a good deal: David Beckham could sign up with Tottenham if they are able to push through a loan move
Beckham is prepared to take a paycut on his £120,000-a-week wages to play for Tottenham, but the PremierLeague club want him beyond February 10, when he is due to return toAmerica.
After completing fitness tests and amedical on Monday, Beckham worked out with Tottenham at their trainingground in Chigwell, Essex, yesterday, wearing squad No 77.
One of the lads: Beckham joins with (L-R) Jonathan Woodgate, Alan Hutton, and Robbie Keane
Spurs boss Harry Redknapp, however, remains hopeful a deal can be done.
He said: 'It's complicated but younever know. We'll see how it goes. He's a fit lad, he looks like he'sin great condition, looks like he looks after himself, he's a modelprofessional so that won't be a problem.
Action man: Jumping, sprinting, stretching, Beckham showed no signs of rustiness
'It's great to have him here. We worked hard to get him here hoping that he could come and play.
'No-one could have worked harder than Daniel Levy, the chairman. They grafted away trying to get a deal done where he could play for us. It's a bit complicated but you never know. We'll see how it goes.
Main man: Beckham joined in training with his new pals for the first time in Chigwell
'They work on that side of it. I've got the easy part. I just identify people, say "I'd like to get David - I think he'd be good for us".
'It's up to them. They do the hard work and put the deals on.
'He's a fit lad, he looks like he's in great condition, looks like he looks after himself he's a model professional so that won't be a problem. Whether it will be possible to do it, I'm not sure.'
Big plans: Beckham stands next to the towering Peter Crouch as they are put through paces
The north London outfit frantically continue their attempts to broker a dealthat will allow the world's most recognised footballer to play for Redknapp's side.
On Sunday,ahead of Tottenham's 3-0 FA Cup third-round win, Redknapp had conceded Beckham's move was a 'no-goer'.
But hours later the Spurs boss was forced to back-track on his statement, insisting the deal to bring Beckham to White Hart Lane was still on.
Making it stretch: Tottenham want Beckham to stay beyond February 10, the day LA Galaxy have requested he return
It is understood from sources closeto the negotiations that a deal could be secured should Spurs showwillingness to pursue the matter, but they have concerns over signingBeckham for such a short period.
Beckham,whose wife Victoria is expecting their fourth child in the summer afterannouncing the news on Sunday, said: 'It's important that I maintain ahigh level of fitness during the MLS off season.
Still hopeful: Beckham and Spurs are keen to thrash out a deal to allow the 35-year-old to play for the club
'I'm thankful to Tottenham and Harry Redknapp for giving me the opportunity to train with the team over the next month.'
Ledley King, out since October, trained yesterday alongside Jonathan Woodgate and Jamie O'Hara, also recovering from injury.
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Explore more:People: David Beckham, Daniel Levy, Harry Redknapp, Jonathan Woodgate, Ledley King Places: London