Hakkinen or Brundle to be Hamilton’s new manager?
It emerged this week that Hamilton, 25, will no longer be handled professionally by his father Anthony.
Finn Hakkinen, who is 41, retired from F1 after the 2001 season with two drivers' world championships under his belt.
The former McLaren driver is now part of the Monaco based sports management Aces Group, which is run by his own long-time manager Didier Coton.
Britain's Daily Mail said Hakkinen and Hamilton "get on well".
"It is up to Lewis and the team," Frenchman Coton told the newspaper. "He is taken good care of as it is (by McLaren).
"But if I was asked to get involved I would definitely be interested."
Another potential manager for Hamilton is Martin Brundle, who formerly handled David Coulthard's career.
The Daily Mail said the 1994 McLaren driver and BBC commentator was "non-committal" when contacted but is said to be a definite contender.