Appealing to the people to stay indoors and follow the guidelines related to social distancing and cleanliness, he said the state government was prepared to tackle the "worst- possible" situation.
Rupani was talking to reporters after visiting Ahmedabad Civil Hospital.
He also announced that the 1,200-bed super specialty new block of the hospital will be kept exclusively for the treatment of coronavirus patients.
People wear protective masks in view of coronavirus
Similar facilities will be set up in Rajkot, Vadodara and Surat, he said.
Deputy Chief Minister Nitin Patel visited SSG Hospital in Vadodara to review the situation and met top officials.
The government has appointed senior officials in four zones of the state to deal with outbreak of such cases.
State Home Minister Pradipsinh Jadeja warned those trying to spread false information about coronavirus on social media platforms.
"Action will be taken against the people who are spreading fake WhatsApp messages to create panic and confusion among public. Cases will be registered against them and action will be taken," Jadeja said.
The state had reported its first two coronavirus positive cases on Thursday. A day later, another five cases had been detected.
The state government has already ordered closure of schools, colleges, private coaching classes, gyms, water parks, multiplexes and other public places.
To prevent gathering of people, the authorities in some districts have imposed section 144 of the CrPC.
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