Vance's statement in a Fox News interview comes the day after sources told Politico that tech billionaire Musk is soon leaving his role in the White House.
After Politico's publication, the White House press secretary Karoline Leavitt stated that Musk is leaving his service "when his incredible work on Doge is completed".
As the head of the White House unit Doge, Musk is responsible for Trump's extensive cuts in the American state apparatus.
