Cross, 68, also urged his fans to take the virus seriously and stay home, wash their hands and avoid touching their faces.
"For those of you who still do not believe the COVID-19 virus is real, or think it is a 'hoax' or part of some conspiracy, my advice to you is to understand right now that this is a deadly illness spreading like wildfire throughout the world," the Grammy Award winner wrote, encouraging followers to visit the Centers for Disease Control and Prevention's website.
He added that everyone should "be kind to one another."
"Only if we work together can we defeat COVID-19," he wrote.
Several other celebrities, including Pink, Tom Hanks, Rita Wilson, Idris Elba and CNN's Chris Cuomo, have tested positive for the virus.
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