Dr. Robert Anderson told Odrick that he would be out two weeks maximum but does not need surgery, according to a source.
Odrick, the Dolphins' top draft pick, was hurt Sunday in their season-opening victory at Buffalo. He had a tackle for a loss before leaving the game in the third quarter, and won praise for his play from coach Tony Sparano.
The 2009 Big Ten defensive player of the year at Penn State, Odrick began lining up with the first team at right end at the start of training camp. His most likely replacement at defensive end is veteran Tony McDaniel.
Information from The Associated Press contributed to this story.