"Well, we've asked them to accelerate whatever they're doing, in terms of a vaccine, absolutely," Trump told reporters at the White House.
Top U.S. health officials have said that a vaccine for the virus, which has killed more than 3,000 people worldwide, is up to 18 months away.
A reporter also asked Trump if it was "safe" to hold a campaign rally amid the growing coronavirus outbreak.
"I think it's very safe," he said.
Trump will hold a rally in Charlotte, North Carolina, later Monday evening after holding a rally last Friday in North Charleston, South Carolina.