Chad Henne walks off after being hurt Sunday. (Donald Miralle / Getty Images)

Henne, who has been sacked 11 times this season, suffered the injury to his non-throwing shoulder Sunday as the Dolphins fell to 0-4. A free agent after the season, Henne completed 64 of 112 passes for 868 yards, with four touchdowns and four interceptions. Henne’s decision was first reported by the NFL Network’s Jeff Darlington.

The Dolphins, with only backup Matt Moore on the roster, are expected to sign former Sage Rosenfels, according to ESPN’s Adam Schefter. Former Kansas City QB Brodie Croyle and former Buffalo Bills QB Trent Edwards worked out for the team this week. And earlier reports indicated that the Dolphins had been unable to reach agreement with David Garrard, cut just before the season opener by the Jacksonville Jaguars, and former Carolina QB Jake Delhomme.

Moore stepped in for Henne on Sunday and completed 17 of 26 passes for 167 yards, with one interception. The Dolphins, who have a bye this week, continue to practice rather than take time off.

“He looked good,” Coach Tony Sparano, who’s on the hot seat, said of Moore’s practice Tuesday. “He did a good job out there. It’s the most reps he’s taken in a while. He did a good job and had good recall, good control of the offense. There’s no install [Tuesday], just old playbook stuff.”