Span, out with a concussion sustained in a home-plate collision on June 3, has also been the subject of trade rumors recently, as Foxsports.com reported the Nationals are interested in the speedy leadoff hitter.
Washington closer Drew Storen could be available in a trade for Span, according to the report, but it still seems unlikely the Twins would be willing to part ways with Span.
Span was one of the club's best players before his injury, hitting .294 with a .361 on-base percentage while providing excellent defense in center field. He's also signed to a team-friendly deal, as he inked a five-year, $16.5 million contract through the 2014 season that began last year. The contract also includes a $9.5 million team option for '15.
He's also unlikely to be activated from the disabled list prior to Sunday's Trade Deadline, as he still needs to play several nine-inning games in a row before being declared ready to make his return.