Beck was assigned to Triple-A Las Vegas after clearing waivers Thursday, Matt Ehalt of The Bergen Record reports.
Beck was designated for assignment by the Mets on Monday, Tim Healey of Newsday reports.
Beck was claimed off waivers by the Mets on Wednesday, Tim Healey of Newsday reports.
Beck was designated for assignment Saturday, Daryl Van Schouwen of the Chicago Sun-Times reports.
Beck had his contract purchased from Triple-A Charlotte on Monday.
Beck (shoulder) is healthy and available for Friday's game against Texas, Daryl Van Schouwen of the Chicago Sun-Times reports.
Beck has returned to action for the White Sox after suffering a minor knee injury last weekend.
Beck left Sunday's game against the A's after being hit in the back of the left knee by a line drive, Scott Merkin of MLB.com reports.
Beck allowed one run on two hits with no walks and a strikeout over 1.1 innings in Friday's 6-3 loss to the Padres.
Beck was recalled from Triple-A Charlotte on Tuesday.