Gore, 35, who is a five-time Pro Bowl selection, is in his first season with the Dolphins after signing a one-year contract to play in the city where he starred for the University of Miami in college football.
He is No. 1 among active players with 14,748 career rushing yards and No. 4 on the all-time list, trailing only Barry Sanders, Walter Payton and Emmitt Smith, who are all in the Pro Football Hall of Fame.
In 14 games this season, he has 722 rushing yards and 12 receptions for 124 yards and a touchdown.
Rookie running back Kalen Ballage is expected to pick up a heavy portion of Gore's workload. He gained 123 yards on 12 carries in Sunday's loss and scored on a 75-yard touchdown run.
"I'm ready. Just stay ready. That's how we do things around here. It's next man up. Obviously, you don't want to lose somebody like a Hall of Fame running back. Scrimmage yards, he can catch it, run. Frank can do everything. Moving forward, I'll just be ready to step into whatever role they need me to be in," Ballage said Monday.
ESPN's Cameron Wolfe contributed to this report.