Jeremy Renner leads this summer's franchise instalment, playing an agent who is brought into a programme similar to the Treadstone operation that trained Damon's Jason Bourne.
Speaking to Empire, producer Frank Marshall admitted that he is keen to bring Damon back to the spy franchise.
"You see there are several different programmes in the movie with different skill sets," he explained. "All possibilities are open. My dream is that in the next one we see Matt and Jeremy team up."
On the differences between his character Aaron Cross and Bourne, Renner said: "He's coming from a completely different background to Jason. He knows exactly who he is; he signed up to this. He wants to be part of a team. I can tell you he was in the military then he joined this programme.
Damon has previously expressed a desire to reprise his role as Bourne, saying back in December: "I think if [Bourne Legacy] doesn't work, we can just ignore it and pretend it didn't happen, and that'd be fine. But I expect that it will work and only help us if we did another one, which I'd love to do."
The Bourne Legacy recently had its US release date pushed back a week to avoid overlap with The Dark Knight Rises. The film will bow on August 10 in the US and August 13 in the UK.
The new issue of Empire magazine hits shelves on June 28.
Watch the trailer for The Bourne Legacy below: