Some 25,000 testing kits were today received from Chinese billionaire Jack Ma, he said.
Mandatory testing for all travellers arriving in Kenya will be fast-tracked.
The country is looking for fast-testing kits and was in talks with the Chinese government, said Kagwe.
"We are looking to supplement production in masks, uniform and other gear," he said.
Starting Wednesday, the government will announce further measures on what will be done to stop the spread.
He denied claims that the Frenchman who was initially admitted was in a critical condition adding that all patients were stable.
Coronavirus cases have so far reached 394,825 globally. Kenya has not reported any deaths.
Kagwe criticised residents who do not observe the measures advised such as social distancing.
Nairobi, Mombasa, Kwale and Kilifi have been listed as having extra exposure.
But Kagwe said more resources have been channelled to the four counties to beat the virus spread.
Managers of hotels set up as quarantine centres have further been urged to not hike their prices, with the CS saying it is immoral."Exercise patriotism and generosity so we don’t add salt to injury."Kenya Airways on Tuesday offered complimentary tickets to Kenyan citizens from New York to Nairobi, being its last temporary flight from America following the outbreak of Covid-19.KQ announced on Monday that it will give complimentary one way tickets to Kenyan citizens from JF Kennedy Airport to Jomo Kenyatta International Airport on Tuesday 6am American time.The tickets were given on Tuesday on first come first serve basis. All passengers were subjected to entry and screening procedures instituted by the Kenya’s Ministry of Health. KQ temporarily suspended all international passenger services effective on Wednesday until further notice. The national airline continues to operate cargo flights particularly to offer emergency services and much-needed supplies. Get the latest summary of news in your email every morning. Subscribe below