It's emerged Boehly and Clearlake owner Behdad Eghbali have fallen out over the running of the club.
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The Telegraph says Boehly wants to avoid a boardroom war and aims to make an offer to buy Clearlake's shareholding.
The American is convinced he can raise £2.5bn to offer Eghbali to leave Chelsea.
Boehly has the backing of investors as he has drawn up plans for the next 50 years, which include a new stadium.
He also has told confidants he views the current ownership setup as "untenable".