The Federal Aviation Administration may issue SpaceX its next Starship license in time for a Sunday launch attempt, CNBC has learned.

There's some optimism at SpaceX that the FAA might issue a launch license much sooner, perhaps in time for Starship to fly this weekend. The launch window Sunday opens at 7 am CDT (8 am EDT; 12:00 UTC), about a half-hour before sunrise at SpaceX's Starbase launch site in South Texas.

The Federal Aviation Administration could approve a license for the launch of SpaceX's Starship 5 as soon as this month, a source told Reuters on Tuesday.

Originally grounded until late November due to licensing, SpaceX's fifth Starship test flight could take off as early as October 13.

SpaceX said in an announcement it might launch its Starship rocket out of Boca Chica, Texas as early as Oct. 13, pending approval from the FAA.

Starship’s fifth flight test could launch as soon as October 13, pending regulatory approval. IF everything is going well from the launch and return then they will try to land on the mechazilla launch tower.

Elon Musk's SpaceX said on Monday that its Starship launch vehicle's fifth test flight could launch as soon as Oct. 13 if it receives necessary regulatory approvals.

SpaceX is targeting as soon as Oct. 13 for the next launch of its Starship Super Heavy megarocket, but it all hinges on approval from the FAA, which says to expect the flight in "late November."

Elon Musk’s SpaceX has said it could launch its next test of the Starship megarocket as soon as Oct. 13 — as long as it gets regulatory approval from the Federal Aviation Administration (FAA).