Samardzija beat the Detroit Tigers on Tuesday and started serving the penalty Wednesday. If there are not any postponements, he would be eligible to rejoin the active roster for the May 11 game against Milwaukee.
Samardzija was suspended by Major League Baseball after his involvement in a bench-clearing brawl against Kansas City on April 23.
Tigers' Justin Verlander gets OK to resume throwing
Tigers pitcher Justin Verlander has been given the go-ahead to resume throwing.
Verlander has been sidelined since the start of the season because of a strained right triceps.
"This is a first step," Manager Brad Ausmus said.
Verlander made about 50 throws in the outfield before Detroit's game against the White Sox. He told Ausmus and pitching coach Jeff Jones that he felt fine afterward.
Ausmus said the Tigers don't have a timetable for a possible return for Verlander, who won't throw off a mound for a while. Ausmus said Verlander will be able to throw and play catch on a daily or every-other-day basis, depending on how he feels.
White Sox designate Javy Guerra for assignment
Right-hander Javy Guerra has been designated for assignment by the White Sox.
Guerra didn't give up a run in three games and 1 1/3 innings for the White Sox. He went on the disabled list April 20 because of a right shoulder inflammation.
He had a 17.18 earned-run average in four games during an injury rehabilitation assigned at triple-A Charlotte.
The White Sox activated him from the disabled list then designated him for assignment. It has 10 days to trade him, send him outright to the minors or put him on waivers.