The deal is for $56 million over four years. Dunn, 31, is coming off his seventh straight season with at least 38 home runs. He just completed a two-year, $20 million deal with the Washington Nationals.
Dunn played first base for the Nationals but he has also spent time in the outfield in his career. He is a good fit for the White Sox because the DH is finally a possibility for him after spending his whole career in the National League with the Reds, Diamondbacks and Nats.
The White Sox are trying hard to keep free-agent Paul Konerko, who has been a fixture in the middle of the their lineup and at first base since 1999. They have a good chance at re-signing Konerko, who is very close to White Sox owner Jerry Reinsdorf. The Orioles have tried for Konerko, too, having made a big offer to him, but Konerko has rejected their big offers in the past. The Diamondbacks don't appear to be in the mix for konerko, who went to high school in Arizona.