Elliott appeared to injure his groin when trying to stop Kyle Palmieri's wraparound goal Thursday with 6 minutes, 8 seconds remaining in the Devils' 3-0 win. Palmieri's goal made it 2-0.
After seeing Elliott helped off the ice in excruciating pain, it appeared he might be out for months, not weeks. If the two-week estimate is accurate, he would miss five games.
The Flyers (9-9-1) recalled Alex Lyon from the AHL's Phantoms on Friday. Cal Pickard is expected to face visiting Tampa Bay in a Saturday matinee.
Hextall said often-injured goalie Michal Neuvirth was back on the ice Thursday but there was still no timetable for his return.