He'll be pitching for a shot to join the A's bullpen for the first time, as his surgery came less than two months following his trade with Jed Lowrie from Houston last spring.
"Now it's full-go for him without the rehab process, and that's definitely a resource we have during the season," said manager Bob Melvin. "Gives us the added depth in the bullpen, definitely."
Rodriguez made eight rehab appearances before being added to Sacramento's roster, allowing just one earned run while striking out 10 and walking two in 8 2/3 innings.
Jane Lee is a reporter for MLB.com. Read her blog, Major Lee-ague, and follow her on Twitter @JaneMLB. This story was not subject to the approval of Major League Baseball or its clubs.