Jayson Stark of ESPN.com says the Tampa Bay Rays are spending almost all of their time shopping for bats. Two names that the team has inquired about are Josh Willingham and Adam Dunn of the Washington Nationals.

We heard earlier today that the Chicago White Sox are all over Dunn and GM Kenny Williams could be moving fast on the deal.

Willingham could be a fit on several teams because he is solid offensively and is under team control through 2011, but his heart wants to stay in Washington. Last week, Willingham mentioned that he would like to stay with the Nationals.