Manager Ozzie Guillen initially had Stanton set to play in the second of four games with the Brewers at Miller Park. But the 22-year-old, who has dealt with soreness in his right knee since Spring Training, felt discomfort when he woke up.
Rather than risk anything, Stanton was given the day off. He remains hopeful of playing on Wednesday.
"He said he wanted to take batting practice to see how he feels," Guillen said. "But we don't want to take any chances. This is an early game after a night game."
Stanton should be available to pinch-hit.
"Tomorrow, we'll see how he is," Guillen said.
When asked about a possible return for Wednesday's game, Stanton was optimistic.
"Hopefully," he said. "That's what we're going for, yes."
The same knee plagued Stanton in Spring Training, when he missed several weeks. Since the season started, though, Stanton has been a fixture in the lineup.
"We've been lucky, to be honest with you," Guillen said. "I thought it was going to be worse when we left Spring Training."
Stanton and left fielder Logan Morrison (left knee) both were closely monitored when the season began.
"I thought he was going to be kind of like LoMo was," Guillen said. "We gave LoMo a lot of rest early. But he's been fine. He's been great. When [Stanton] says he's a little bit sore, you've got to be careful. I expect him to be in a lot of pain; that's why he isn't playing."
Stanton had played in 78 of the team's 79 games this season.
"I was dragging a bit yesterday," he said. "My body was overwhelmed and shut down a little bit."
Greg Dobbs, batting .292 with 18 RBIs in 52 games, was inserted into the lineup, batting third and playing right field.
Last Sunday, Stanton was selected to the All-Star Game for the first time in his career. He is hitting .283 with 19 homers and 50 RBIs.
Stanton took some early batting practice on Monday, which he was doing to prepare for Monday's Home Run Derby at Kansas City. He hit for about 10 extra minutes.
Guillen doesn't think that aggravated Stanton's knee.
"No, I didn't think so," the manager said. "I think he's just sore. I hope he is just sore because of a day game after a night game."