Coogan, 46, reteamed with his "24 Hour Party People" filmmaker Winterbottom for the movie, initially called "Paul Raymond's Wonderful World of Erotica", reported Daily Express.
Its name was subsequently changed to "The King of Soho", but Raymond's son Howard filed a suit over the title, arguing that he had already trademarked the name for a rival production based on his father's life.
"I am delighted that Michael Winterbottom has agreed to change the name of his film. It was causing a huge amount of confusion in the media that two films were being made about my father under the same title," Howard said.
Winterbottom's movie, scheduled for release next year, is currently in post-production and a new name will be announced in due course.
Raymond opened the UK's first strip club, Raymond Revue Bar, in 1958. He also published the magazines Razzle, Mayfair and Men Only. He died in 2008.
