The agency is targeting Artemis IV as soon as 2028. Evidence in the reporting also referred to Artemis III, whose four astronauts are expected to dock their capsule with Starship and with Blue Origin's Blue Moon.
SpaceX caught a returning Starship on Saturday after the spacecraft came back from orbit, but the first-stage booster was lost and the company missed a double catch.
The upper stage separated cleanly, reached orbit and released 26 advanced Starlink satellites. According to AFP, the spacecraft circled Earth 14 times during the flight and deployed those satellites.
It was SpaceX's 15th flight of a full-scale Starship since 2023, and only its second trip to orbit.
The booster did not complete the matching recovery. It exploded after Friday's liftoff from Texas, and the company fell short of the double catch it had wanted, France 24 reported.
SpaceX's Kate Tice said the booster's engines stopped firing too soon on the way back down.
Its guidance system then sensed that it was not in the right position, automatically sent it toward the water and began a self-destruction sequence.
SpaceX had already caught a booster three times before Friday, so the failed recovery did not erase earlier proof that the technique can work.
SpaceX expects to begin launching Starships from Kennedy Space Center in Florida within the next few months.