As for Suggs, who was claimed off waivers from Cleveland, Saban said he could contribute on special teams as well.
Given Saban's preference for rotating backs, the Dolphins clearly want to make sure they can give Ronnie Brown some breathers come Thursday night.
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The only player who did not practice on Tuesday was guard Joe Berger, who is walking around on crutches and appears to be a little ways from returning to action.
Cornerback Travis Daniels has done some work in practice, although he's listed as questionable for Thursday's game and probably won't play.
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In addition to Suggs, the Dolphins also claimed tight end Tim Massaquoi off waivers while signing former Philadelphia linebacker Keith Adams.
Adams, whose father Julius played 16 seasons as a defensive end for the Patriots, is an undersized linebacker who is very good on special teams.
To make room for Massaquoi, the Dolphins waived tight end Jason Rader.
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Saban, who was born in West Virginia, revealed that he grew up a Steelers fan. Obviously, he won't be one on Thursday night. "Are you kidding?" he joked on Tuesday.