Trump has already flagged several major investors within his inner circle as acceptable buyers, one of which is Tesla and SpaceX owner Elon Musk.
The world's richest person is leading Trump's new Department of Government Efficiency, has close business ties to China and has voiced opposition to the TikTok ban.
Bloomberg reported earlier this month that the Chinese government was considering a plan to have Musk acquire TikTok's U.S. operations, citing anonymous sources. That followed a report from the Wall Street Journal, which claimed TikTok's CEO had been soliciting advice from Musk ahead of Trump's inauguration.