Although 3 dogs have been known to test positive in China for Coronavirous or COVID-19, the World Health Organization (WHO) and The Centre of Disease Control (CDC) state it is very unlikely that you and your dog would cross contaminate each other with COVID-19. The dogs that tested positive in China were thought to have been exposed to very high concentrations of viral contaminants to have the detectable level that they did.
You may have noticed on your dog's vaccine check list there is a "coronavirus" strain listed. Fortunately, this is specifically a canine type of coronavirus only. Unfortunately, that strain is not the same as COVID-19. COVID-19 has the possibility of other types of animal-human transmission.