Revere, who hit .245 with 15 stolen bases in 48 games as the club's leadoff leader in Span's absence, gives the club another speedy player near the top of the order.
"We have more speed at the top to get on for the big guys," Twins manager Ron Gardenhire said. "That's what we tried to do."
Revere was able to get into the lineup because designated hitter Jim Thome was held out for precautionary reasons due to neck stiffness. Delmon Young started at designated hitter in his place.
"Thome had a little bit of a stiff neck when he got here today, so he thought as the day went along he'd be able to get in there and take some," Gardenhire said. "But I think I'm not going to press my luck with anything like that."