Thomas was hurt Nov. 20 against Cleveland and sat out Sunday's victory at Oakland. The Dolphins host Buffalo on Sunday.
"He's not going to play this week," coach Nick Saban said Wednesday. "He probably will be able to play sometime in the near future, but that's going to be determined week to week."
Thomas' injured right shoulder was examined Monday by Dr. James Andrews, a specialist in Birmingham, Ala. Thomas is also nursing a sprained ankle.
"With either injury, he would struggle to be able to play this week," Saban said.
The Dolphins listed Thomas as doubtful for the game, suggesting a 25 percent chance he could play.