Combs argues his sentence was improperly decided and asked that his conviction also be thrown out.
The rapper's representatives say the series is "a shameful hit piece" that "relied on stolen footage".
The new criminal investigation comes as the music mogul is serving a 4-year prison term.
Attorneys for the rap mogul filed a notice to the court and are expected to file a full appeal soon.
Combs apologised to his mother, children, and victims, specifically naming his two ex-girlfriends, Casandra Ventura and "Jane".
The BBC's Nada Tawfik was inside the courtroom as the convicted hip-hop mogul addressed his family and the judge.
The rapper will serve over four years, with about a year of credit for time served since he has been behind bars since his arrest.
It was a more subdued message from three months ago when Combs told his family he was "coming home".
The rap star has been sentenced to more than four years in prison, but still has loyal fans.
