The White Sox are interested in giving left-hander John Danks a multiyear contract. The team is trying to work a new contract into their offseason budget, according to sources. Chicago also has to make decisions on veterans Paul Konerko and A.J. Pierzynski. Danks made $3.45 million this past season while proving to be the team's steadiest starter. He finished 15-11 with a 3.72 ERA.