Lawrence (shoulder) was listed as a limited participant on Monday's practice estimation, Nick Harris of the Fort Worth Star-Telegram reports.
The 32-year-old defensive end played 49 defensive snaps and recorded five total tackles during Sunday's loss to the Ravens, but he appears to have suffered a shoulder injury in the process. Lawrence's participation Tuesday and Wednesday will provide a better indication of his possible availability for Week 4, as the Cowboys take on the Giants on Thursday night.