Hamilton’s current contract with Mercedes expires at the end of the year but he is expected to soon pen a lucrative two-year extension.
That would take him up to the end of the 2020 season – which will align with when Liberty Media are planning to make vast changes to the sport in a bid to make it more competitive.
However, Coulthard thinks Hamilton, who would be 35 years old, could call time on his racing career to focus on releasing his first music album.
“I think it’s got to be on his mind,” Coulthard said on BBC Radio 2’s Graham Norton Show on Saturday.
“I think that he’ll go to 2020 which is [the end of] the current Concorde Agreement.
“That’s the agreement between the commercial rights holder, the FIA and the teams. It defines how the sport looks and feels.
“But I think beyond 2020 there’s every likelihood he may well be releasing his first [music] album which he’s been working on.”
Hamilton is currently leading the Drivers’ Championship this season as he searches for his fifth world title.
And if the Brit decides to step out of the paddock in two years’ time then Coulthard has backed GP3 champion George Russell to step into his shoes.
“He’s with Mercedes as a reserve driver, so he wouldn’t be known internationally,” added Coulthard.
“But he’s certainly someone that has got skills, talent and potential.
“Potential is a great word in sport, a lot of young guys get into it using the word potential.
“And then of course the fulness in time will tell us whether that potential is fulfilled. But I think he’s one to watch.”
Coulthard has also backed the Silver Arrows to take a different approach by hiring their first women F1 driver.
“There’s no physical reason why women couldn’t be successful,” he said.
“Historically they are better drivers than men because there are less insurance claims, less crashes with ladies on the road. So that must translate into something in racing!”
Source : EXPRESS