The Marlins outfielder went on the DL with a right hamstring strain on Thursday, retroactive to Wednesday. The earliest date the veteran would be eligible to rejoin the club is June 7, when Miami is at home against Atlanta.
"I hope so," Kearns said of returning at the soonest possible date. "I think that's a possibility. We'll see when we start doing more."
Kearns injured his hamstring while scoring from first base on a Giancarlo Stanton double last Tuesday against the Rockies.
In 22 games, he's given Miami production off the bench and in a spot-start role, primarily against left-handed pitching. He's batting .375 with three home runs and nine RBIs in 48 at-bats.
"I've just been riding the bike and walking on the treadmill," Kearns said of his rehab routine. "I took some swings off the tee. It's getting better. It seems like it is getting better each day. That's a good thing."