Mark Gonzales of the Chicago Tribune says "general manager Ken Williams will continue to seek ways to improve the White Sox" and that "more deals seem imminent." Gonzales notes that the pool of prospective players will expand on June 15 when teams can deal free-agent players signed last winter without their consent.
Scott Merkin of MLB.com agrees:
Despite starting the month with 12 losses in 16 games, the White Sox have finished strong in May, going 8-3 with 4 straight series victories. We know they're seeking starting pitching and there's speculation that they have been scouting Roy Oswalt. Jake Peavy insists he could reconsider a deal later in the season. White Sox owner Jerry Reinsdorf implied nobody is untouchable. How would you improve the White Sox?