The Togolese striker was sent off on Saturday for a reckless challenge on Arsenal's Santi Cazorla which was compounded by the Gunners winning the north London derby 5-2.
His absence for the next three matches leaves Spurs with just one recognised striker in Jermain Defoe. Harry Kane is on loan at Norwich, but Villas -Boas believes the side will be able to cope without Adebayor for the next three games.
"Do we have enough firepower? Yes. We have one of the league's top scorers in Jermain Defoe," Villas-Boas said.
"Obviously recently we have been playing with Ade and he's been excellent, so we understand that he's one less option; one very important player but we have to adapt without him.
"Ade and Defoe have flourished well in the past and they know each other very well so to not have that will be hard to take, but the good thing is that the games against West Ham, Liverpool and Fulham are in one week so the player can be back quickly."