A number of designers have declared that they would refuse a request from America's future First Lady.
But others, including Tommy Hilfiger, Thom Browne and now Gaultier, have said they would not have a problem.
Asked whether he would dress Mrs Trump, Gaultier replied: "Definitely. It's not my objective but why not?"
Speaking at the British Fashion Awards on Monday, the French designer said it was "not a question of politics".
"She dresses very well by herself," he told the Press Association. "I have nothing bad to say against her.