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. Last month, the FAA said it did not expect a determination on a license before late November.

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

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."