Myers did not play Saturday after leaving Thursday's game with an upper-body injury in the third period.
Myers is day-to-day.
The league's last place team, Buffalo continued its rebuild by sending Myers, forwards Drew Stafford and Joel Armia, the rights to 2014 second round pick Brendan Lemieux and Buffalo's latest first-round pick in 2015 to the Jets.
Myers had four goals with nine assists in 47 games.
Myers did not have a point in his return for the Sabres on Tuesday.
Myers had been dealing with a lower-body injury.
Myers returned to the ice Friday.
Myers was dealing with a lower-body injury.