Vesey, who has become an NHL journeyman has been shuffled around the league recently, as his production took a hit in 2019-2020 and may or may not recover, as recently he only posted 15 points with the New Jersey Devils last year.
As a returning journeyman, he could return to camp and become a mentor to the younger wingers, such as Kapo Kakko or Vitali Kravtsov. However, it seems he'll be destined for a fourth-line role, on a minimum salary.