He said he will be 100 percent by the start of the Cowboys' offseason program in April.
Dunbar suffered a posterior lateral corner injury in the fourth quarter against the Oakland Raiders on Thanksgiving. It also happened to be Dunbar's best game of the season, as he finished with 82 yards on 12 carries.
"The doctors told me I should be fine, and I should feel like I didn't even have surgery," Dunbar said. "It's feeling good now. I can bend it; have full range of motion, so we'll see."
The Cowboys hoped Dunbar would be a change-of-pace back to complement Murray, but injuries slowed him throughout the year. He suffered a foot injury in the preseason that cost him the season opener. He suffered a hamstring strain that forced him out of one game and missed the final four games with the knee injury.
Dunbar finished the season with 150 yards on 30 carries and caught seven passes for 59 yards.
"I guess bad things happened at the wrong time that were out of my control," Dunbar said. "I guess I have to hope for better luck next year."