Elliss exited Sunday night's preseason game against the Commanders with a head injury and will not return.
The 25-year-old was ruled out in the second half. Elliss was claimed off waivers from the Eagles late last season and appeared in a combined 16 games for Philly and New England. He has 23 NFL games under his belt and is in line to handle a special teams role for the Patriots should he make the roster.