Foster suffered the injury in last week's loss to the New England Patriots and missed the team's next three practices.
"He'll be out this week," Gase said. "We've kept him inside and done obviously some rehab stuff. We didn't want to bring him outside. We're just going to hold him out for this one and going to re-evaluate him after this week."
Foster leads Miami's running backs with 47 rushing yards on 16 carries. The former four-time Pro Bowler signed a one-year contract with the Dolphins one week before the start of training camp.