The remarks came a day after researchers said a vaccine against the coronavirus developed by China's CanSino Biologics Inc and China's military research unit appeared to be safe and induced immune responses in most subjects in a closely-watched mid-stage study.
The CanSino candidate is one of a handful of vaccines that have shown some promise in early human testing. Others gearing up for such trials include vaccines from U.S.-based Moderna Inc and Germany's BioNTech SE, in partnership with American drugmaker Pfizer Inc.
Data from a combined early/midstage trial of a vaccine candidate being developed by researchers at the University of Oxford and British-Swedish company AstraZeneca was also released on Monday.
Trump has long blamed China for mishandling the deadly coronavirus pandemic, which originated in the Chinese city of Wuhan and charged across the United States, killing more than 140,000 Americans and raising the stakes for a quick and viable vaccine.
"I think we're going to have some very good results. We're already in testing. Nobody thought that would be possible," he said. "I think you're going to see something over the next fairly short period of time - maybe very short period of time - having to do with therapeutics and vaccines that are very good," he said.