SpaceX is getting very close to its goal of flying actual astronauts aboard its Crew Dragon spacecraft. After a successful in-flight abort (IFA) test in January, it had basically crossed off all the major milestones needed before flying people, first on a demonstration mission referred to as “Demo-2” by SpaceX and its commercial crew partner NASA.

We now know the working date that SpaceX is aiming for with that crucial mission: May 7. To be clear, that’s very much a working date and the actual mission could slip either later, or even earlier, according to Ars Technica’s Eric Berger who first reported the timeline.

We knew before today that SpaceX was getting very close to be mission-ready in terms of its spacecraft. The Government Accountability Office released a report last week detailing progress on the commercial crew program and noted that the Crew Dragon capsule that will be used to fly astronauts for Demo-2 was on track to be completed “3 months earlier” than was expected based on most recent timelines.

Demo-2 will be the second demonstration mission of Crew Dragon, following a Demo-1 uncrewed mission that flew in March of last year. That mission saw the SpaceX spacecraft fly to the International Space Station (ISS), dock with the orbital lab, undock and return safely to Earth with a controlled landing, all using automated processes and without anyone on board.

The Demo-2 mission will fly two crew, Doug Hurley and Bob Behnken, both NASA astronauts who will be completing their third spaceflight during the mission. Bob and Doug will at least fly aboard Crew Dragon to the ISS, replicating the Demo-1 mission, but with a crew on board, and NASA Administrator Jim Bridenstine recently shared that it would be looking into the possibility of extending the duration of the mission (which had been planned for two weeks) to allow it to actually rotate the crew of the ISS, just like what currently happens with Soyuz astronaut flights.

As always with space, expect some movement in that target date, but we are getting close enough now that the general ballpark should be a pretty accurate reflection of when things go down, barring any major issues between now and then.