22-year-old Kinsella, a Republic of Ireland Under-21 international, has made twenty-six first-team appearances so far this season, is out of contract in the summer and, despite being first on many supporters' team-sheets, is reportedly yet to be offered terms on a new deal.
Kins, the son of former Saddler Mark Kinsella, is predominantly a midfielder but can also play at right-back, a position where he spent many of his years before choosing to focus on the middle of the par following discussions with former Walsall boss Jon Whitney.
There were reports that Kins had rejected a new offer with the club but several media outlets are reporting that no deal had been offered as Dean Keates continues to concentrate on securing the club's League One status following a string of poor results and performances.
Clearly, there is still time for the club and player to come to terms on a new deal, however, there now appears to be plenty of outside interest which could see Kins opt to consider his options in the summer before signing any new deal.