In a statement, the team said Incognito had been suspended for "conduct detrimental to the team," The Miami Herald reported Monday.
Jonathan Martin, who has been away for a week, made the allegations, which the Dolphins said they had asked the National Football League to investigate.
Nate Garner was promoted to start left guard as the team prepares for next week's game against the Tampa Bay Buccaneers. Should Martin not return, Tyson Clabo will take his place at right tackle.
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