Cosby is now in the Pennsylvania Department of Corrections' Phoenix location, in Collegeville, Pa.
"The long-term goal is for him to be placed in the general population to receive the programming required during his incarceration", Corrections Secretary John Wetzel told Philly.com.
The deposition, in which Cosby acknowledged giving sedatives to young women, was unsealed a decade later, and prosecutors cited it as a crucial piece of evidence when they brought criminal charges. The facility also has a gym, barber shop, mural arts program and non-denominational chapel.
Ms Constand, 45, said in a written statement submitted to the court on Monday that the attack had turned her into a woman who was "stuck in a holding pattern for most of her adult life, unable to heal fully or to move forward". Cosby is receiving this sentence as he drugged and sexually assaulted a woman a decade back. "If that's what they've got, it's beyond a Hail Mary".
The new witnesses - permitted by state law to show that a charged crime fits a larger pattern of offenses - helped prosecutors bolster what had been a "he-said-she-said" case.
Bill Cosby spent Tuesday, his first night as Inmate No. NN7687, in a single cell at a state correctional facility outside Philadelphia Tuesday.
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Cosby - who is legally blind and uses a cane - removed his watch, tie and jacket and walked out in a white dress shirt and red suspenders, his hands cuffed in front of him.
Cosby declined the opportunity to speak before the sentence came down, and afterward sat laughing and chatting with his defense team.
Cammarata will ask a judge next month to schedule a trial date and let him take Cosby's deposition.
Speaking about his sentence, handed down by Judge Steven T. O'Neill on Tuesday, he added: 'With his health and his age and the nature of the crime, there's not a warden in this country wants the responsibility of a Bill Cosby.
Cosby's first trial past year ended in a mistrial when jurors could not reach a unanimous verdict.
Cosby gave Constand pills to incapacitate her and then sexually assaulted her in 2004.