The 18-year-old has already made 10 starts for the Tigers, but he is yet to sign a professional deal at the KCOM Stadium.
According to the Daily Mail, that could let in Stoke who are said to be keen on adding the teenager to their first-team squad.
After Hull's relegation to the Championship, the England Under-18 international will realistically have more opportunities for regular senior action with his current club, but it appears that he is yet to make a decision on his future.
Tymon played 325 minutes of Premier League football this season, while he also made five appearances as Hull reached the League Cup semi-finals.
If he opts to join Stoke, a fee will likely have to be decided by a tribunal.