Capt. Latanya Brown has been accused of spending extra time with Wayne and allowing him to remain in his cell while other inmates are sent to the facility's recreation yard, the New York Post said Sunday.
An unnamed source at the jail said the department has a zero-tolerance policy for officers who give special treatment to inmates. Brown was not available for comment, the newspaper said.
The rap star was sentenced to a year in jail after authorities found a weapon on his tour bus. The sentencing was part of a plea deal attorneys reached with prosecutors last November regarding his 2007 arrest after a gun was found in his tour bus.
Wayne could be released by October.