Police say Jason Rae was found in an apartment in the northern English city of Leeds on Saturday. Officers are awaiting results of toxicology tests to determine the cause of death.
A 32-year-old man was arrested on suspicion of supplying him with drugs but has been released on bail, officials said.
Thirty-one-year-old Jason Rae was a saxophonist with a funk band, the Haggis Horns.
Bailey Rae's self-titled debut album sold more than 1 million copies in the U.S. after its release in 2006.
The 29-year-old was nominated for song of the year at the Grammy Awards in both 2007 and 2008.