Both players have sustained concussions during the summer in the Bears' pre-season games but stand a chance of being fit in time for week one of the regular season.
Trestman told the Chicago Tribune: "Henry is into running. Earl is day-to-day. I know he was with some of the medical people this morning, I haven't checked. Henry ran today.
"He's going to run tomorrow and Wednesday and pick up that running significantly."
Chicago open their regular season on September 8 against the Cincinnati Bengals.