Spurs manager Andre Villas-Boas expected Bale to report to the club's training ground in Enfield, but the 24-year-old did not show.
The Welshman has always reported to the Hertfordshire base for treatment on his supposed foot injury ever since it stopped him from playing for the north London club.
But the forward did not turn up on Tuesday and no explanation has been given as to why.
A Spurs source said there was "no issue" with Bale not turning up, and insisted that the player remained in touch with Villas-Boas about his training regime.
And Bale's camp tried to play down the suggestion that the triple player of the year had become ''furious and frustrated'' with Tottenham's handling of his proposed transfer to Madrid.
Press Association Sport understands that Bale's absence does not mean he is closer to a move to Madrid, despite reports in the Spanish media that the former Southampton winger could seal his move to Real on Tuesday.
Tottenham insist they will not sell Bale to Madrid until they have signed at least one more player to replace him.
Talks in London are ongoing with Roma over the possible transfer of midfielder Erik Lamela, but Villas-Boas' hopes of being reunited with Zenit St Petersburg forward Hulk look set to be dashed after the club's manager Luciano Spalletti said the Brazilian was not for sale.
Real's hand has been weakened over the course of the last week thanks to their antics.
Source: PA
Source: PA