Gutierrez, 29, has been sidelined since getting hit in the right ear with a pickoff throw by Boston's Franklin Morales just over three weeks ago.
"It's unfortunate, but we were told there could be some back and forth with this," Wedge said. "It's just that type of injury and that's what we're seeing. Some days are better than others, but the fact he still has some reoccurring headaches, we're going to shut him down and have the doc look at him Monday."
Gutierrez was hitting .267 in 13 games in June after coming back from a partially torn pectoral muscle when he got nailed by Morales while going back to first base in the fifth inning on June 29. The 2010 Gold Glove winner played just 92 games last year when dealing with a digestive issue and then tearing an oblique muscle after he finally got on the field.