The former Wham! star was moved out of Pentonville Prison on Friday after abandoning plans to apply for bail.
The 47-year-old, whose real name is Georgios Panayiotou, moved to Highpoint Prison in Suffolk.
The singer was jailed on Tuesday for eight weeks after crashing his Range Rover while under the influence of cannabis.
Michael was found slumped at the wheel of a car after it smashed into a branch of Snappy Snaps photo store in Hampstead, north London, in July.
The singer admitted driving while unfit through drugs and possessing two cannabis cigarettes when he appeared at London's Highbury Corner Magistrates' Court in August.
Michael, who had a previous conviction for the same offence, was told by District Judge John Perkins there was no option but jail.
On Friday, a bail application on his behalf was cancelled.
Michael will serve four weeks in prison, with the rest of his sentence spent out on licence under the supervision of the probation service.
Pentonville Prison, where former inmates have included Oscar Wilde and fellow 1980s singer Boy George, houses close to 1,000 male convicts.
A Ministry of Justice spokeswoman said the department did not discuss the movement of prisoners.