Dawson ruled out for up to three months
Dawson, who was in the frame for England's squad for the European Championships, was carried off on a stretcher in the first half of the 3-1 victory at White Hart Lane after landing awkwardly.
"Scans taken this morning have determined that Michael Dawson is likely to be absent for a period of 10-12 weeks," the Spurs website said.
"It is now confirmed that he suffered a ruptured ligament in his right ankle."
Dawson had only recently returned from an Achilles injury which sidelined him for four months while he missed a large chunk of last season following an ankle injury sustained while on England duty against Bulgaria.