March 24 (Reuters) - The timeline for when the Federal Reserve will start to raise rates will depend on what is happening with the economy, which may not return to full strength for some time, New York Federal Reserve Bank President John Williams said on Wednesday. The U.S. economy could recover more rapidly later this year as coronavirus cases drop and more people are vaccinated, Williams said during a virtual conversation organized by Syracuse University. But Williams declined to put a date on when he thought the Fed could start to withdraw some of the fiscal support it is providing. (Reporting by Jonnelle Marte Editing by Chris Reese)