We knew that Fox was planning a follow-up to Alien: Covenant based on their initial synopsis announcement back in November of 2015, but in a recent interview, director Ridley Scott mentioned that he's ready to move forward on another Alien movie sooner than some might expect.
Speaking with The Sydney Morning Herald (in an interview referenced by AvPGalaxy), Scott mentioned that he doesn't want to wait long to get moving on a follow-up to Alien: Covenant:
"You've got to assume to a certain extent [of] success and from that you'd better be ready. You don't want a two-year gap. So I'll be ready to go again next year."
The Sydney Morning Herald also revealed that the next Alien film was written during production of Alien: Covenant to allow Scott to move forward on the next Alien movie sooner rather than later, and based on Scott's comments, it sounds like "sooner" could be as early as 2018.
According to Fox's official synopsis for Alien: Covenant that was first released in 2015, it was mentioned that Alien: Covenant is "the second chapter in a prequel trilogy that began with Prometheus," but the movie's more recent synopsis (see below) doesn't mention the "prequel trilogy," so we'll have to wait and see exactly where on the Alien timeline a Covenant follow-up would land. We'll be sure to keep Daily Dead readers updated as more information is revealed.
"Ridley Scott returns to the universe he created, with ALIEN: COVENANT, a new chapter in his groundbreaking ALIEN franchise. The crew of the colony ship Covenant, bound for a remote planet on the far side of the galaxy, discovers what they think is an uncharted paradise, but is actually a dark, dangerous world. When they uncover a threat beyond their imagination, they must attempt a harrowing escape."