The former England and Sunderland winger, 28, moved from HMP Armley, in Leeds, to Moorland Prison, near Doncaster, on Friday.
The new Category C nick has an all-weather football pitch, sports hall and gym.
Johnson’s former girlfriend Stacey Flounders has moved out into a new £750,000 home.
But she will now visit the convicted child sex offender with their daughter, Ayla.
“Ayla has been asking after Daddy”A source
Flounders – who dumped Johnson during his trial for sexual activity with a 15-year-old fan at Bradford Crown Court – was told not to visit Armley as it was too rough.
Johnson – who was bribing other prisoners with cigarettes at Armley – was expected to be sent to HMP Frankland, in County Durham – home to Soham murderer Ian Huntley and Milly Dowler's killer Levi Bellfield.
He was planning to pay a fellow lag for protection at the notorious jail – where another nonce was disembowelled.
But he dodged the horror move in favour of the relatively easy stint at Moorland.
Johnson – who is appealing against his six-year sentence for child grooming and sexual activity with a child – reportedly believes he will be at an open prison within a year.
A source told the Sun: “Ayla has been asking after Daddy and Stacey knows seeing them will give Adam a boost.
“Her family advised against visiting Armley as it is much rougher.”
Johnson – under observation in a vulnerable prisoners’ unit – will be checked by guards while he settles in.
Inmates are encouraged to do courses ready for life on the outside.
One is FA training on sports injuries.
Johnson may be asked to train other cons at football.