Wise strained his right hamstring on May 25 while scoring the game-winning run in the bottom of the ninth inning from second base. He has appeared in one other game since then, going 0-for-2 Wednesday against the Chicago Cubs.
"It just hasn't gotten any better," Wise said before Sunday's game against the Oakland A's. "I told them yesterday that at this point I can't be myself out on the field. I can't do the things that I do. It was pretty much my decision to tell them I think it's best for the team to go ahead and put me on (the DL) because I can't pinch run and do stuff like that."
Wise said he was worried that if he tried to push his hamstring now he would tear it.
"That was a concern, too," Wise said. "I just felt like doing running stuff ... with our strength coach, I just felt like I couldn't get up to top speed. Every time I felt like I tried to push myself to do it, it felt like it was going to pop. I definitely don't want to do that. I thought the best thing to do was take it slow, put me on the 15 and see what happens after that."
Wise is hitting .235 with a home run and three RBI and six runs scored over 30 games this season with 15 starts.
Danks, the younger brother of White Sox pitcher John Danks, played nine games for the White Sox earlier this season from April 17 to May 8, going 3-for-15 with a home run and two RBI. For Charlotte, he's hitting .299 with five home runs, 20 RBI and 25 runs scored over 33 games.
This marks the first time that Jordan and John have been on the White Sox's 25-man roster at the same time in their careers. They played together a few games earlier this year when John Danks was on a rehab assignment at Charlotte.
"It's a cool thing," Jordan said. "Last time we really played together competitively was high school, other than the rehab starts he made down in Charlotte. It will be fun. It's been a long time coming."
The two brothers had adjoining lockers in the visiting club house at the O.co Coliseum.
"You've got to remind yourself not to take it for granted," John said. "It really is special. It's kind of fun to be able to play together. It will be a fun time whenever he's out in the outfield when I'm on the mound."
When Jordan was a sophomore and John a senior, they were baseball teammates at Round Rock High School in Texas and made it to the state championship. Jordan was an outfielder, and John played center field when he wasn't pitching.
"We were pretty good," Jordan said of that team. "We made it all the way to the end and then kind of dropped that last game."
Jordan Danks is in the starting lineup for Sunday afternoon's game, playing center field and batting eighth.
But the White Sox will be without first baseman Paul Konerko, who is out with a stiff neck that forced him to leave Saturday's game in the top of the sixth inning. What's more, right fielder Alex Rios is getting a scheduled day off, his first of the season.
"It's just one of those (situations where) you can change it up and see what happens, get a little energy in there," White Sox manager Robin Ventura said. "Rios was thought of a little while ago. We knew he was going to have the day off. It's something you can play with a little bit today."
Konerko said he's feeling better and hopes to be back in the lineup Monday when the White Sox begin a three-game series at Seattle.
"Just keep working on it," Konerko said. "It's much better than it was yesterday as far as releasing. Not really worried about it. I think I can get back in there, if not later today hopefully tomorrow for sure, if it keeps going away at the pace it's going. I've had these once a year for the last few years for some reason. They just kind of stop you in your tracks when you get them, but then they're kind of gone after that."
In another development, Ventura made a final decision on his replacements for home games on Thursday and Friday against the A's that he'll miss to be at his daughter's graduation in California. Bench coach Mark Parent will manage the team on Thursday before missing Friday's game to attend his son's high school graduation. On Friday, pitching coach Don Cooper will manage the team. Cooper went 1-1 as the White Sox interim manager in 2011 after replacing Ozzie Guillen on Sept. 27. Parent has managerial experience in the minor leagues.
"Friday's the dangerous day," Ventura joked. "It's going to be Coop, going to be Coop. That's dangerous. He was politicking to get over .500. He wanted it to be Friday."