The France striker, a summer signing from Lyon, went to ground as the players made their way to restart after Nacer Chadli gave Spurs an early lead.
Gomis was attended to for four minutes and left the field on a stretcher, by which point he was conscious and wearing an oxygen mask.
Gomis has a history of losing consciousness, fainting three times since joining Lyon in 2004, with the latest episode occurring while training with France in 2009.
At the time, Lyon president Jean-Michel Aulas admitted he was "worried" about the striker.
"We can't not be worried, it scares you each time," Aulas told ITele
"A vasovagal episode (fainting) is part of the things that can happen to people who have this type of constitution.
"It's now three times that it's happened
Yes, I'm worried."
White Hart Lane was the ground where the then Bolton midfielder Fabrice Muamba suffered a cardiac arrest in an FA Cup quarter-final match in 2012.
Source : PA
Source: PA