The Colorado Division of Homeland Security and Emergency Management said the worker tested positive on Saturday.
Spokeswoman Micki Trost said staff members who determine they worked in the same area in the last 48 hours are being told to self-quarantine.
Trost said medical screenings of staff are being increased from once daily to twice a day. A decontamination service cleans the facility daily.
Colorado has 4,565 confirmed cases and 126 deaths because of the virus, according to a Johns Hopkins University tally on Sunday morning.
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