The former Wham! frontman was jailed this week after admitting causing an accident while driving under the influence of cannabis.
Michael was handed an eight-week prison sentence on Tuesday, and was taken to Pentonville Prison in North London.
PA reports that the 47-year-old will now be downgraded from a category C prisoner to a category D prisoner and moved to a less secure facility.
A Ministry of Justice spokesman said: "Prisoners are regularly transferred within the prison estate according to their needs and individual circumstances."
Earlier today, a bail application made in Michael's name was withdrawn.