Gutierrez remains on the 15-day disabled list, but has doing well while running, shagging fly balls and taking some batting practice the past few days, manager Eric Wedge said.
"We're just going to keep eliminating and pushing forward and keeping a close eye on him," Wedge said. "Hopefully everything comes back good today and we can keep him going. But he had a good day yesterday with all the activity, which was a good sign."
Once Gutierrez is cleared to return to game action, he'll need to go out on a Minor League rehab stint to get his timing back. The 29-year-old had played just 13 games after returning from a partially torn pectoral muscle when he got hit in the head by a throw to first by Boston's Franklin Morales.