New York listed Shepard (hamstring) as a non-participant in Thursday's practice, Dan Salomone of the Giants' official site reports.
According to Dan Duggan of The Athletic, Shepard was sporting full pads while working out on the side during the portion of Thursday's practice that was open to the media, with Tom Rock of Newsday noting that the 28-year-old looked to be further along in his recovery from a hamstring injury than fellow wideout Darius Slayton. Ultimately, both receivers went down as non-participants on the injury report for the second straight day and the fifth consecutive practice session overall. Though Shepard appears to be progressing, he'll likely need to upgrade to at least limited activity in Friday's practice to have a shot at avoid missing his second straight game Sunday in Dallas.