Wood was too ill to get on the team bus to Milwaukee for the start of the Cubs' three-game series against the Brewers.
Jeff Samardzija will likely fill Wood's role as the right-handed setup pitcher.
Meanwhile, catcher Koyie Hill, who had similar symptoms on Sunday, was back and healthy.
"I'll be glad if we can get out of here with no one else sick," Quade said.
However, the Cubs were without outfielder Reed Johnson, whose back was stiff and sore, which made him unavailable on Sunday.
"Right now, it's OK," Johnson said of his back. "I'll probably give it a day or so and make sure it's moving in the right direction and if not, then we'll have to make a decision as to what to do with me. If things keep moving in the right direction, then I won't have to go on the [disabled list]. That's always the goal."
Johnson already has gone on the DL because of back spasms this year.