Wales U-21 defender Craig Morgan will hold talks with club boss Denis Smith when he returns from John Toshack's summer training camp in San Sebastian on Tuesday.
Morgan, 19, is out of contract in the summer and is already a target for MK Dons and Swansea City.
Smith has also offered Morgan a deal to stay at the Racecourse, however, the youngster is not happy with what is on the table and knows he can get better money elsewhere.
He said: "Wrexham have been a great club for me.
"I understand their financial problems, but I'm not happy with my offer.
"Hopefully Denis can come up with a bit more money, but other clubs are showing an interest, there's lots to weigh up."
Even if he stays at the Racecourse now, it will be inevitable that he will leave to move to a bigger club, with interest from the higher leagues already evident, with praise from several managers, including Wales coach John Toshack.