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Johnson, 30, led the majors in saves each of the past two seasons. He converted 50 of 59 saves opportunities this year and had a 2.94 ERA and 56 strikeouts in 70 1/3 innings.
He was an All-Star in 2012.
Weeks, 26, hit 271 with 17 stolen bases in Triple-A last year. He's hit .258 in the majors since 2011.
The A's also fortified their rotation Monday, reaching a two-year, $22 million agreement with free-agent left-hander Scott Kazmir, sources told ESPN's Jim Bowden and Buster Olney on Monday.
Edited by Rob, 03 December 2013 - 12:29 AM.