Hendricks, the Cubs' Minor League Pitcher of the Year in 2013, has made eight quality starts in 12 outings since debuting on July 10.
Left-hander Travis Wood (8-12, 4.86) remains Monday's starter against All-Star Adam Wainwirght.
Edwin Jackson is slated to pitch Friday in Milwaukee, but manager Rick Renteria was noncommittal when asked about Jackson's status after failing to make it out of the first inning in Friday's 14-5 loss to the Dodgers. Jackson, making his first start since Aug. 20 due to a right lat strain, allowed five earned runs from the seven batters he faced, elevating his first-inning ERA to 10.46.
"We haven't sat down to talk about that yet. Right now he's scheduled to start one of the games in Milwaukee, and that hasn't changed," Renteria said. "We would have to sit down and talk about it, but right now that's where he's at."
Long reliever and September callup Eric Jokisch, who took over for Jackson on Friday, is unlikely to get a start by season's end.
"It's possible, but I would say right now we're at [Felix] Doubront will probably slide into that spot, but we have to wait and see how it all plays out," Renteria said.
Jokisch gave up a pair of homers to A.J. Ellis on Friday, but allowed just two hits to the rest of the Dodgers' lineup over 3 1/3 innings of work.
"Other than A.J. Ellis, it was a good outing," Jokisch said. "I just threw two balls to the wrong spot, and he got ahold of them. ... They have some of the best hitters in the league. For the most part, I was able to keep them off balance and get my outs."
Daniel Kramer is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.