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04/09/2013 11:53 PM ET

Pitching coach Cooper hospitalized

WASHINGTON -- Pitching coach Don Cooper was hospitalized on Tuesday morning in Arlington, Va., because of pain in his lower abdomen apparently caused by diverticulitis.

In Cooper's absence, bullpen coach Bobby Thigpen moved to the dugout, and bullpen catcher Mark Salas ran things in the bullpen. Cooper is not expected to be out for any extended period of time.

"They are still doing studies and treating him," said general manager Rick Hahn of Cooper. "But it's conceivable he'll be back as soon as tomorrow, and if not, a few days after that. This is a non-baseball injury, so it's a little tougher to put a time frame on it.

"[White Sox head athletic trainer] Herm [Schneider] got him to the hospital this morning, and he's getting treatment overnight."

If there's ultimately a longer absence for Cooper, the White Sox might seek approval to add someone from the organization to the staff, though that's not something the team is considering.

Manager Robin Ventura admitted that the continuity of how they do things will be a little different without Cooper, although Thigpen has a great deal of input into the team's pitching. Ventura also mentioned with a smile that Coop isn't feeling great but "he can still talk."

"He might have got a Funk 49 the other night at the Joe Walsh concert," said Ventura, referring to the Bob Seger/Joe Walsh concert the two attended on Saturday night at the United Center in Chicago, pointing out one of Walsh's most famous tunes. "I don't know if they can treat that."

Beckham to miss time with nerve irritation in wrist

WASHINGTON -- Second baseman Gordon Beckham will be out of action on Wednesday and could be sidelined longer after suffering nerve irritation in his left wrist during a second-inning at-bat against Gio Gonzalez in Tuesday's 8-7 loss to the Nationals.

Beckham exited the game before the Nationals went to the plate in the third, replaced by Angel Sanchez, who made his White Sox debut.

"On the 2-1 pitch is when I felt it. I knew something was wrong," said Beckham. "I stepped out and took a swing, and I kind of realized it wasn't going to be a good swing.

"Obviously, I swung at the next pitch and got out of there. Just some pain in my left wrist."

X-rays showed no structural damage in the left wrist, although an MRI had not yet been performed. Manager Robin Ventura indicated that Conor Gillaspie would start at third on Wednesday, with Jeff Keppinger moving to second, as Beckham's definite return is unknown.

"Probably not tomorrow for sure," said Ventura. "Then, after that, [we'll] kind of check him on a day-to-day basis."

"I've been icing it for the last four hours, or however long we've been out. I've been doing a lot of contrasts," Beckham said. "There's no structural damage, but there is definitely some pain. It's going to take a couple of days. It hurts now just standing here."

National League rules relegate Dunn to the bench

WASHINGTON -- With the White Sox taking part in their first Interleague contest of 2013 on Tuesday night and also facing their first left-handed starter of the campaign, left-handed-hitting designated hitter Adam Dunn didn't get a starting chance in his old stomping grounds.

Having a day off, or possibly more, after just six games is a strange side effect of these early contests with National League teams, according to Dunn.

"I didn't know how that was going to be, and now I do know. It's not good," said Dunn, who held court with the Nationals media for an extended period prior to the series opener. "It's tough. You've got six games under your belt, and I've got to sit today and maybe tomorrow and maybe the next day.

"Obviously, everyone wants to be out there, and it's tough when you are kind of feeling pretty good at the plate early. You want to keep it. But you can't play 10 [players]."

Dunn probably will get a chance in left field either Wednesday or Thursday, or both, with right-handers Jordan Zimmermann and Dan Haren getting the starts. The slugger's absence simply is part of the American League way of life in NL ballparks.

"The way American League teams are built, there's always one guy who is going to be left out and have to take a few days off," manager Robin Ventura said. "It's not always that easy for him. He's feeling pretty good, and he has to sit.

"He's looking forward to playing the field. He felt he deserved a little more after his Spring Training. It's still a possibility he'll be in there tomorrow, probably more than likely."

During the 2009 and 2010 seasons, Dunn averaged 38 homers and 104 RBIs as a member of the Nationals. He's happy for Washington's success, with plenty of friends still part of the roster, and Dunn is happy for the Nationals fans as well.

"No matter what, good, bad, the fans were fans, and they really enjoyed having a big league baseball team in Washington," he said. "They came to the park every day, and whether it was 10,000 or whether it was 30,000, they came to root and cheer for the Nationals."

Reed trying to handle non-save situations

WASHINGTON -- Pitching in the 10th inning of a 3-3 deadlock, as Addison Reed did on Sunday against the Mariners, doesn't exactly qualify as a non-pressure situation or a time for the closer just to get some work. But by the letter of the rule, Reed was pitching in a non-save situation.

Throughout those particular outings during the 2012 season, Reed posted a 6.20 ERA, compared with a 3.56 ERA over his 33 save opportunities. So his scoreless frame -- and eventual victory -- was a good first step forward.

"I know last year my ERA was way up in non-save situations," Reed said. "That was a big question everybody would ask me, if I had a different mind-set or whatever. I mean, I took the same mind-set [on Sunday] as I did in all non-save situations last year."

Reed had a hand in each of the White Sox first-week victories and will be ready to protect the lead when given his next ninth-inning chance. And he isn't worried if that next outing comes in a non-save scenario.

"Like I keep saying, I think it was purely coincidence last season," he said of his non-save struggles. "Every time I go out there, I'm trying to go 1-2-3."

Gellinger to manage Advanced Rookie Bristol

WASHINGTON -- Mike Gellinger, who has been part of the Major League staff since 1997 and served as Greg Walker's unofficial assistant hitting coach, will manage Advanced Rookie Bristol in 2013. He replaces Bobby Magallanes, who will be doing more roving work with Latin American players while also working in a culturalization role with these players.

"He'll spend the first few months doing more special assignment stuff, scouting," said general manager Rick Hahn of Gellinger. "Then he's going to transition into player development going into mini-camp right after the Draft and then doing some Rookie-ball work, and then he'll be in instructional league and transfer fully into player development.

"He had expressed an interest in getting back toward managing, which is where his roots are. He's been with the big league staff since the late '90s. He expressed interest in getting back on the field and doing that. It worked out nicely."

Gellinger spent the 1996 season as the White Sox infield coordinator and managed at Rookie Sarasota (1990, '95), Class A South Bend (1994) and Advanced Rookie Utica (1989, '91). Magallanes' new role originally was put together with Lino Diaz in mind, but Diaz now is working with the big league team.

Third to first

• Hahn smiled and even forced out a little laugh when asked what he learned about his team through the first six games. "It's way too soon for anything along those lines. Way too soon," Hahn said. "It's been a good first six days. Don't need to be a one-run game every day, though."

• The White Sox trail only the Yankees in terms of best all-time Interleague winning percentage. The Yankees are at .603, and the White Sox are at .576.

Scott Merkin is a reporter for MLB.com. Read his blog, Merk's Works, and follow him on Twitter @scottmerkin. This story was not subject to the approval of Major League Baseball or its clubs.