Arsenal manager Arsene Wenger says the former England captain called to ask if he could work on his fitness at the club's training base outside London.
Beckham is without a club after leaving the Los Angeles Galaxy of Major League Soccer.
Wenger stressed on Tuesday that Beckham is only training with Arsenal and will not be signing with the club.
Wenger says "he has asked to come here and to work on his fitness.'
The manager says it's "purely for fitness" and "there's no speculation about signing or anything."
The 37-year-old Beckham, a former Manchester United star, is mulling offers from clubs around the world after leaving the Galaxy at the end of a six-year stint in the MLS.