Rich Cimini adds that the Jets have waived DL Bronson Kaufusi in a corresponding move.
McDermott, 26, is a former sixth-round pick of the Patriots back in 2017. He was later waived and claimed by the Bills last year before being cut loose on Thursday.
McDermott is currently in the third year of his four-year contract worth $2,535,028 that included a signing bonus of $135,028.
In 2018, McDermott appeared in five games for the Bills but did not make a start.