Speed Week claims the shares in question are currently held by the Bahrain-owned Mumtalakat company.
May 28 (GMM) Rumours in Japan suggest Honda is looking at buying into McLaren.
After a six year absence, the Japanese car manufacturer is returning to Formula One next year, initially as McLaren's works supplier of turbo V6 engines.
But when Honda quit at the end of 2008, it also wholly owned the Brackley based team that today is Mercedes.
The Honda buy-in rumours were reported on Tuesday by German-language Speed Week, saying the shares in question are currently held by the Bahrain-owned Mumtalakat company.
Bahrain currently owns 50 per cent of the Woking based team.