Clinton said his wife had five hours of tests on Sunday and was told to "take it easy for another month."
He said if her progress continues, "she'll be completely recovered."
She suffered a concussion in December, then doctors found a blood clot.
The former secretary of state has a new website called http://hillaryclintonoffice.com/ that allows the public to contact her office with scheduling requests, media inquiries or other requests.
Her old campaign web site, http://www.hillaryclinton.com/ , directs viewers to the new office website.