The Draft takes place June 5-7 on MLB.com and MLBN

MILWAUKEE -- History says that no matter how talented the player selected by the Brewers 12th overall on Day 1 of the First-Year Player Draft on Thursday, it will be years before he reaches the Major Leagues. Milwaukee manager Ron Roenicke nonetheless popped in on the team's war room Monday afternoon.

"I'm not locked in on it, [but] I go up every year and try to spend a little bit of time there to see what we're thinking and who we're interested in," Roenicke said. "I like looking at what they're thinking for the first round. There are a couple of regular players and three starters. That was good."

MLB.com's latest mock draft was published Monday and links the Brewers to a number of potential picks, including Vanderbilt right-hander Tyler Beede.

The 2014 Draft will take place from Thursday-Saturday, beginning with the Draft preview show on MLB.com and MLB Network on Thursday at 5 p.m. CT. Live Draft coverage from MLB Network's Studio 42 begins at 6 p.m., with the top 74 picks -- the Brewers own Nos. 12, 41 and 50 -- being streamed on MLB.com and broadcast on MLB Network. MLB.com's exclusive coverage of the second and third days will begin with a live Draft show at 11:30 a.m. ET on June 6.

MLB.com's coverage includes Draft Central, the Top 100 Draft Prospects list and Draft Tracker, a live interactive application that includes a searchable database of Draft-eligible players. Every selection will be tweeted live from @MLBDraftTracker, and you can also keep up to date by following @MLBDraft. And get into the Draft conversation by tagging your tweets with #mlbdraft.

Ramirez on track to return on Wednesday

NYY@MIL: Aramis exits in 4th with apparent injury

MILWAUKEE -- Brewers third baseman Aramis Ramirez went 2-for-4 as the Class A Wisconsin Timber Rattlers' designated hitter on Monday and, assuming no setbacks, should be activated from the disabled list for Wednesday's game in Minnesota.

Ramirez has been on the DL since mid-May with a left hamstring strain. Because the Brewers play Wednesday and Thursday in an American League ballpark, Ramirez could be the DH in one or both of those games.

"We'll talk about that," manager Ron Roenicke said. "We're thinking DH, but we'll talk about it when he gets back. We'll see where he is. That's what we'd like to do, DH him the first game and then we'll see."

With the Brewers' offense riding a hot streak, Roenicke and Ramirez have already discussed the possibility that Ramirez will slide back into the lineup lower than his usual cleanup spot.

Last call

• Gomez has a playful relationship with Ron Gardenhire and said he was eager to give his old Twins manager a hug.

"I can't wait, but I don't know if I can reach," Gomez said with a big smile. "I'm going to tell him the same thing."