“We can’t be expected to comment on pure fiction,” a TikTok spokesperson told BBC News.
Bloomberg reported, citing people familiar with the matter, that one possible scenario being considered by Chinese officials would see Musk’s X social media platform take control of TikTok’s US operations.
X did not immediately reply to a BBC request for comment.
Musk is a close ally of US president-elect Donald Trump, who is set to return to the White House on 20 January.
Last month, Trump urged the Supreme Court to delay its decision until he takes office to enable him to seek a “political resolution”.
His lawyer filed a legal brief with the court that says Trump “opposes banning TikTok” and “seeks the ability to resolve the issues at hand through political means once he takes office”.
That came a week after Trump met TikTok’s chief executive, Shou Zi Chew, at his Mar-a-Lago estate in Florida.