But like Perry, McDermott's job will be to snap on punts, field goals and extra points.
McDermott spent all of last season serving as the long-snapper for the expansion Houston Texans after being selected in the expansion draft.
Prior to that, McDermott has spent the 2001 season with the Tampa Bay Bucs.
As for Perry, he was placed on injured reserve on Sunday, officially ending his 2003 season.
Perry was injured while running down the field to cover a punt in the first quarter of Friday's game.
The play was nullified because of a penalty and Perry actually had to go back into the game to snap again because backup long-snapper Jeff Zgonina couldn't get the tape off his hands quickly enough to get in the game.
Because Perry was hobbling as he headed back to the sideline and Zgonina couldn't get in there in time, the Dolphins took a delay-of-game penalty before Perry, bad knee and all, snapped again for the next punt.
Also on the injury front, rookie linebacker Eddie Moore will be getting a second opinion on Monday regarding his injured left foot.
The early word was that he had sustained a mid-foot sprain, an injury that would sideline him several weeks.
Fullback Rob Konrad, for his part, underwent surgery on Sunday after fracturing the pinkie on his right hand in Friday's game. He will be evaluated on a weekly basis, but is expected to be ready for the start of the regular season.