Weber was recalled from Triple-A Gwinnett on Tuesday.
Jason Grilli was traded to the Blue Jays and Weber was called up to take his spot on the Braves' active roster. Weber was clobbered for nine runs on 15 hits (including two homers) in 7.2 innings with Atlanta earlier this year, and while the results have been much better with Gwinnett (2.81 ERA), he's managed a mere 13 strikeouts in 25.2 innings with the affiliate.