Dillard did not participate in Tuesday's practice session due to a shoulder injury, Matt Schneidman of The Athletic reports.
Dillard started at left tackle and played 14 snaps in Sunday's preseason game against the Broncos. He may have picked up the shoulder injury during the contest, and if he isn't able to recover enough during the week, he could be held out of the Packers' preseason finale against the Ravens on Saturday. The 2019 first-round tackle is competing for a depth spot behind presumptive starters Rasheed Walker and Zach Tom.