Should Tampa Bay become involved, they'd also have a good shot at Street, who's been a generally effective closer. The Rays are said not to have talked to Oakland about Street to date, however.
From Jon Heyman's newest column. It's a bit odd that the teams haven't at least mentioned Street during their presumed talks. Especially when you consider Buster Olney's repeated mentions of a possible deal, but it could also mean the Rays are either working on something else that makes Street redudant or content with the current bullpen.