Joseph was called up to replace starting pitcher Wade Davis, who went on paternity leave on Thursday. In two games, his first Major League action at New York and Cleveland, Joseph pitched a total of 1 1/3 innings without giving up a run on one hit and three walks.
"He did fine," manager Ned Yost said. "We just wanted some protection against a predominately left-handed lineup and he did a nice job."
Teaford had a 3-2 record with a 2.88 ERA in 23 games (nine starts) for Omaha. He had 60 strikeouts against 23 walks in 59 1/3 innings. He's well-rested, not pitching since a start a week ago at Round Rock, Texas.
With Bruce Chen moving to the rotation, Tim Collins was the only remaining bullpen lefty until Joseph and now Teaford arrived.
"As much as we're using Timmy, we need some sort of backup," Yost said.
Meantime, Davis was home in New York when his wife Katelyn delivered their first child, a girl, on Friday night. Davis won't rejoin the team until after the All-Star break, but his three-day paternity leave expires on Saturday and technically he'll go back on the roster on Sunday, meaning that someone will have to be taken off.
Dick Kaegel is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.