Morneau, who is on the disabled list retroactive to May 1, took about 35-40 swings, and reported no problems. He said he's still dealing with some soreness, but it's getting to the point where it's tolerable.
"It's getting better," Morneau said before the series opener against Cleveland. "Whether it will be gone completely, I don't know. I'm hopeful. But as long as I'm able to swing the way I want to swing, as long as it's manageable, that's something we can deal with."
Morneau said he doesn't have a specific target date for his return, but remains optimistic he'll be ready to go once he's eligible to come off the disabled list on Wednesday in Detroit.
"Today was just the first step in getting out there swinging and taking batting practice on the field," Morneau said. "Hopefully it feels good the rest of the day and [I will] go out [Tuesday] and do the same thing. So we'll figure it out. I don't really have a timeline yet, but I'm hopeful it's sooner than later, that's for sure."
Morneau said he's still not sure if he'll make his return as a first baseman or designated hitter, as he's still discussing that with manager Ron Gardenhire. But he might not have a choice if he plays over the weekend, as the Twins play the Brewers in Milwaukee in Interleague Play and there won't be a designated hitter.
"I don't know if it'll help it stay more warm and loose if I'm at first," Morneau said. "So I'll have to check with Gardy. Whatever he wants to do with the lineup. Most of the time I'd rather play first, but whatever works best."