“Rudy’s doing well,” Trump said in response to a question from reporters at the White House. “He’s doing very well. No temperature and he actually called me earlier this morning. Was the first call I got.”

Neither the White House nor doctors for Giuliani released information about Giuliani’s condition, and the basics of Giuliani’s health status remained unknown. He was admitted to Georgetown University hospital on Sunday.

Giuliani, 76, who has kept up a schedule of constant public appearances in recent weeks as the spearhead of Trump’s campaign to spread conspiracy theories about the US election, announced his Covid diagnosis on Twitter on Sunday.

“I’m getting great care and feeling good,” Giuliani tweeted. “Recovering quickly and keeping up with everything.”