Diddy was convicted in July on two counts of interstate prostitution. Prosecutors had accused the 56-year-old disgraced music mogul of arranging so-called “freak offs,” described in court as lengthy, drug-fueled sexual encounters involving women transported across state lines. He pleaded not guilty and has denied wrongdoing.

Sean "Diddy" Combs's lawyers are poised to try to persuade federal appeals court judges in a Thursday morning hearing that the hip-hop mogul was treated unfairly at the trial that sent him to prison o...