The 35-year-old has been given permission by his club Los Angeles Galaxy to train with the Barclays Premier League club until February 10 in a bid to stay fit.
The ex-Manchester United and Real Madrid midfielder was assessed by Tottenham's medical staff at the club's Essex HQ but did not link up with the players and manager Harry Redknapp, who were awarded a day off after Sunday's FA Cup win over Charlton.
All smiles: David Beckham leaves Tottenham's training ground in Chigwell wearing the club's tracksuit before setting off in his black Audi
After arriving at 10.15am with his white boots in hand, Beckham soon emerged wearing the club's training kit before departing at midday in a black Audi, still wearing the blue Tottenham tracksuit.
Beckham then returned to Spurs Lodge for a second time after 1pm in a busy start to his first day with the club.
Ready to go: Beckham arrives at Spurs lodge, with his white boots in hand, ahead of his medical assessment
He will be back at Chigwell on Tuesday morning to train with the Spurs first-team squad, who take on Beckham's former club Manchester United on Sunday.
The north London outfit frantically continue their attempts to broker a deal that will allow the world's most recognised footballer to play for Redknapp's side.
Loan star: David Beckham has arrived at Tottenham's training ground to undergo a medical
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.
Waiting game: Tottenham boss Harry Redknapp is hopeful of completing a deal to sign Beckham on loan
BECKS STADIUM BOOST DENIEDA Beckham representative rejected suggestions that his client is only training with Spurs in order to aid their bid to move to the Olympic Stadium.
Tottenham are going head to head with London rivals West Ham in the race to occupy the 80,000-capacity ground after the 2012 Games.
The Hammers vice-chairman Karren Brady fears the Galaxy's link with Beckham - the club's chairman Philip Anschutz also owns company AEG, who are backing Spurs' Stratford bid - could derail their campaign.
But a Beckham spokesperson denied those claims, saying: 'We would never get involved in anything like that.'
Beckham, whose season at LA Galaxy begins on March 15, wants a deal which will allow him to play a full role for Tottenham.
Manager Redknapp said: 'We hope it could still happen. The situation is ongoing. It's being done above my head.'
Redknapp had previously indicatedthat 'insurance issues' might prove too big an obstacle to a loan.
'That's what I was led to believe, but apparently that's not the case,'he said later.
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 a high level of fitness during the MLS off season.
'I'm thankful to Tottenham and Harry Redknapp for giving me the opportunity to train with the team over the next month.'
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Explore more:People: David Beckham, Harry Redknapp, Karren Brady, Philip Anschutz Places: London, United Kingdom, Olympic Stadium