The building is 23 stories and can house 1,300 inmates.
The jail, under court order to house no more than 586 inmates, had 715 last night.
The Institution opened in 1959 and can house 140 inmates.
Four new prisons would be needed to house 3,000 inmates.
Since then, the county has been forced to house 150 to 200 inmates a day in other counties.
Its 33 prisons, built to house 15,000 inmates, now hold more than 24,000.
The prison was opened in the mid-1970s and originally built to house 150 inmates.
Another question is the capacity and cost of the state's huge prison system, which now houses 70,000 inmates.
It houses male and female inmates, the capacity is 1126.
From 1934-37, the facility usually housed 100-500 inmates at a time.