Moustakas originally injured his knee last weekend in Seattle before again banging it during a game late last week against Cleveland.
Yost said Moustakas could play, but the manager decided to give the left-handed-hitting Moustakas another day off against White Sox All-Star left-hander Chris Sale.
"It's a bone contusion in his knee and the more time we can give him, the better off he's going to be," Yost said. "Against a tough left-hander again today, it's a good opportunity to give him a break."
Yost said Moustakas "will be in there [Tuesday] for sure," but said it was too early to speculate whether Moustakas would start Wednesday against White Sox lefty Jose Quintana.