The company is also currently facing a 30-day suspension of its manufacturing and dealer licenses in California for deceptive marketing about Autopilot's capabilities.
Jeff Bezos' Blue Origin had previously suggested that the third launch of the mega-rocket would take the space company's robotic lunar lander to the moon.
The bid comes from Quantum Computing Inc., which already lined up to buy Luminar's semiconductor division. Luminar founder Austin Russell has also expressed interest.