Luepke (calf) did not practice Thursday, Adam Caplan of SiriusXM NFL Radio reports.
Luepke didn't carry the ball or draw a target while playing 22 of 69 snaps on offense in Sunday's 47-9 loss to the Lions.
Luepke carried the ball twice for eight yards and caught both his targets for 14 yards in Thursday's win over the Giants.
Luepke secured two of his three targets for 41 yards in Sunday's 28-25 loss to the Ravens.
Luepke caught both his targets for 18 yards in Sunday's win over the Browns.
Luepke has been used more often as a tight end or H-back so far in training camp, Nick Harris of DallasCowboys.com reports.
Luepke (thigh) doesn't have an injury designation for Saturday's game versus Detroit, Jon Machota of The Athletic reports.
Luepke played four of the Cowboys' 57 snaps on offense and carried once for three yards in Sunday's 31-10 loss to the Bills.
Luepke didn't log any carries or targets while playing seven of the Cowboys' 64 snaps on offense in Monday's 20-17 win over the Chargers.