Salons and spas could reopen in Georgia and Oklahoma while Alaska lifted restrictions on restaurants.
On Friday, President Donald Trump walked out of a shorter than usual briefing, refusing to take questions.
He has faced criticism after suggesting that injecting household disinfectant into patients could be beneficial.
His remarks have been condemned as dangerous by doctors and manufacturers. Disinfectants are hazardous substances and can be poisonous if ingested, and even external exposure can be dangerous to the skin, eyes and respiratory system.