Fort Lauderdale police say Ross and a female companion reported hearing multiple shots fired in their direction at around 05:00 on Monday.
Police say Ross lost control of the silver Rolls and crashed into an apartment building.
Neither Ross nor his passenger was injured and police say it did not appear that any bullets struck the Rolls.
The police report uses Ross's real name, William L Roberts.
Ross turned 37-years-old on Monday.
Authorities say unknown suspects fled before police arrived.
TV news footage showed a bullet hole in the window of a nearby restaurant.
A Ross spokesperson didn't respond to e-mail seeking comment.