The 57-year-old actor had an operation to replace an aortic valve at the Cleveland Clinic on March 13. Publicists Mara Buxbaum and Chris Kanarick say he is expected to make a complete recovery in the next eight weeks.
Williams was initially treated at the University of Miami Hospital before being transferred to Cleveland. He had been in Florida earlier this month when he was forced to cancel the remainder of his one-man comedy show, "Weapons of Self-Destruction" after experiencing shortness of breath.
In a statement Monday, Williams thanked his doctors and "all of the people who have expressed their love and concern for me."
"I’m so touched by everyone’s support and well wishes," said Williams in an early March post on his Web site. "This tour has been amazing fun and I can’t wait to get back out on the road after a little tune-up."
He is expected to continue the tour in the fall.