Revere, who batted .294 with 14 runs, four doubles, a triple, nine RBIs and seven stolen bases, was surprised to learn about the honor when told before Tuesday's game against the Rays.
"Really? I didn't know that," said Revere, grinning. "They told me I had a chance but I thought Jemile was [going to be selected]. So it's awesome. All the coaches helped me out. It's an honor to be [named] that, but I have a lot more stuff to work on."
Revere, who was recalled on June 2, helped spark the club atop the lineup while also providing excellent defense in center field. The club was also 17-8 in the 25 games he played after entering the month with a 17-36 record.
"When I first got called up again, my grandpa told me that I was going to help turn this team around by bringing my enthusiasm and work ethic," Revere said. "So I told him I'd do my best, and he must be psychic, because it's actually what we're doing. We've been getting back."