Earlier this month, it was claimed that Stoke were making moves to bring the 18-year-old to the Britannia Stadium ahead of the 2017-18 campaign.
Tymon played 325 minutes of Premier League football for Hull last season, but the attacker is yet to sign a professional contract at the KCOM Stadium, and it is understood that the teenager is keen on a move away this summer.
Scholes has confirmed that Tymon is of interest to Stoke, with the player 'fitting the bill in a number of ways'.
"He's a player we are looking at, he's a player we like," the Stoke Sentinel quotes Scholes as saying. "He would fit the bill in a number of ways, not least he's a very talented young Englishman with experience in the Premier League.
"So it's fair to say he's one that would fit the bill, like a number of players, and we are looking at a number of players and a number of different options. He's one of a number of players we do like the look of."
Tymon, who is an England Under-18 international, came through the youth system at Hull.