The '13 Reasons Why' director's wife Mary McCormack tweeted about the terrifying moment her man had to pull over as his vehicle had caught fire, seemingly at random.
She wrote on Twitter over the weekend: "No accident, out of the blue, in traffic on Santa Monica Blvd. Thank you to the kind couple who flagged him down and told him to pull over.
"And thank god my three little girls weren't in the card with him."
She later explained that it wasn't one of the car manufacturers' vehicles "with autopilot or whatever".
She added: "It was a normal Tesla."
Now, the company has responded to the scary incident, and insisted it is looking into exactly what caused it to happen - while it also added it will be working with local authorities on this issue.
In a statement made to US broadcaster ABC news, Tesla said: "We offer our support to local authorities and are glad our customer is safe.
"This is an extraordinarily unusual occurrence, and we are investigating the incident to find out what happened."
Morris - who has been married to McCormack since 2003 - was Director of The Old Vic theatre in London for three years until 2002, and has worked on projects like 'Bloodline' and 'House of Cards'.