Donald, who is the NFL Defensive Player of the Year, missed training camp last season before reporting on the eve of the season opener.
"We're simultaneously working to make Aaron a Ram a long time," Rams general manager Les Snead said Tuesday during the press conference to announce running back Todd Gurley's four-year, $60 million contract extension.
"That's the goal. I know we'll get questions about him, but Aaron's a big part of who we are, where we want to go. But I think the details and all of that, I think we're going to continue the course of keeping them in-house. We're going to continue working to get something done with Aaron."
Donald is slated to make $6.89 million in the fifth-year option of his rookie contract. He skipped voluntary workouts and mandatory minicamp.
Donald amassed 52 tackles, a team-high 11 sacks, a club-best five forced fumbles, 27 quarterback hits, one fumble recovery and two passes defensed in 14 games last season.
The former University of Pittsburgh standout was selected first-team All-Pro for the third straight year and to the Pro Bowl for the fourth year in a row.
Donald has totaled 148 solo tackles and 39 sacks since entering the league in 2014.