Washington has not had serious talks with Wang's agent, Alan Nero, because the right-hander is still recovering from arthroscopic shoulder surgery that he had in late July.
The source said that Wang is not in any pain and is throwing from 120 feet on flat ground. There is no timetable as to when Wang will throw off a mound, however he is hoping to get offers from clubs in two weeks.
When healthy, Wang has proven he can be a big winner. In 2006 and '07, Wang went a combined 38-13 with a 3.67 ERA for the Yankees. The last two years, Wang has been hampered by injuries, pitching a combined 27 games. In 2008, he didn't pitch after the All-Star break because of a foot injury.
Wang is best remembered in Washington for giving up Ryan Zimmerman's first career walk-off home run, on June 18, 2006.
On Sunday, Rizzo said he was looking for a veteran starter, but that the pitcher would have to sign at the Nationals' price.
"During the early part of the winter, we made sure we got things done," Rizzo said. "I made sure we had a Major League veteran starter [Jason Marquis], Major League catcher [Ivan Rodriguez] and improved the bullpen [Matt Capps, Brian Bruney and Eddie Guardado]. We took care of that.
"I think during the second half of the offseason, we are going to let a little bit of that come to us. We do think there is a surplus of people out there ... that we are talking about. There is nobody ... out there on the pitching market that is a difference maker."
Bill Ladson is a reporter for MLB.com
This story was not subject to the approval of Major League Baseball or its clubs.