The 17-year-old has recently broken into the Wigan first team.
He is from Merseyside, which means that a move to either club might appeal to him.
Gelhardt has also impressed at youth level with England, while he has a contract with Wigan until 2021.
Teamtalk suggests that he could have a choice between the two top clubs from Merseyside
It may come down to choosing the club that Gelhardt believes would offer him a better path to a first team place.