The 27-year-old, who has netted 16 goals so far this season, has been linked with a move to White Hart Lane and Craven Cottage in recent weeks.
But Mbokani says he does not expect to leave the Belgian club in the January transfer window.
“Unless an exceptional offer arrives in January, I will remain here until the end of the season,” he told Sporza.be.
“I am doing well at Anderlecht and I will leave soon for the African Cup of Nations.”
The American has been linked with a return to his former club Blackburn Rovers this week, but the Portuguese coach says he has no intention of letting the 41-year-old leave Spurs.
“We are trying to hold on to our best assets and Brad is certainly one of them,” said Villas-Boas.
“Brad has been excellent. I spoke to him and he has been such an important player for us. Rotation has not been because of performances.
“Both goalkeepers’ performances have been excellent. It gives me the ability at any time to throw a different keeper into the game.”