GLENDALE, Ariz. -- Ozzie Guillen is gone from the White Sox, but certainly not forgotten. And according to White Sox general manager Ken Williams, Guillen's positive contributions made over eight years as manager always should be held close by the organization and the fan base.

Williams talked to MLB.com about a text exchange he had with Guillen during this Spring Training in which he thanked the former manager for helping the White Sox achieve consistent success.

"I don't know if it was last week or the week before that that I sent him a message, a text, just thanking him for the hard work and expressed to him directly you know it saddens me that things worked out the way they did," Williams said. "But I thanked him for the hard work and all that we accomplished together and I wished him luck.

"He wrote back and thanked me for the opportunity to manage the team that he was most fond of. He loves the city and everything. It was a nice exchange."

All sides clearly have moved on since Guillen's departure to Florida, and Williams doesn't see a scenario where that peace will change. He also didn't look as his staying in Chicago and Guillen being let out of the final year of his White Sox contract as his personal victory in a power struggle.

"It was portrayed as some sort of power play, but I never felt that. It simply is untrue," Williams said. "I had no problem working with Ozzie [on] all baseball-related things. Some of the peripheral things, you know, I think probably anybody would have a little bit of an issue here and there.

"You won't hear anything negative come out of my mouth about Ozzie Guillen or anybody that was on the staff. I don't believe that there will be any, at least I hope that people can move on to the point where we can still appreciate all the things that were accomplished here."

Peavy revels in Minor success

GLENDALE, Ariz. -- Jake Peavy followed John Danks to the Camelback Ranch back fields on Thursday afternoon, making a start against the Rangers' Triple-A team. There was really nothing to be gained by the right-hander facing a Royals team he probably will go against two or three times during the 2012 regular season, so instead he worked on his offspeed pitchers under a controlled environment.

"We wanted to establish the slower breaking ball, curveball, getting ahead of the lefties with a breaking ball," said Peavy, who allowed one run on six hits over 6 1/3 innings, while striking out six and throwing 84 pitches. "Everything went well. I love going down and getting to interact at that level and see our younger players, throw to our young catchers and get a lot of work in.

"You take that same mindset there. But you know exactly how many pitches you're going to throw so you can truly stay to a game plan. It doesn't matter if you give up four hits on that breaking ball, you're going to stay with it."

Thursday's outing followed five no-hit innings thrown by Peavy against the Mariners during Cactus League action on Saturday. His next start comes Tuesday at home against the Indians, but Peavy once again will work in a Minor League game.

"What's meaningful to me is the way I feel command-wise," Peavy said. "I didn't walk anybody, got up and down seven times. Location-wise, I was very pleased with that.

"As I got tired, I started missing a little. I tried to let it all hang out in that last inning and it wasn't there, which was to be expected."

Dunn, Viciedo pump up offense's confidence

GLENDALE, Ariz. -- After scoring 13 runs against the Mariners on Wednesday, the White Sox hung 16 on Bruce Chen and the Royals during Thursday afternoon's victory at Camelback Ranch.

Suddenly, the offense that scored 19 combined runs while losing five out of six looks as if it's hitting stride. Manager Robin Ventura wasn't as concerned with the results as he was with the swings taken by his charges.

"You see them getting better at-bats," Ventura said. "Not only the hits, but fouling off pitches. Fighting through at-bats and getting better timing. I think that's part of the process of Spring Training, to get yourself there.

"We're not going to do this every day. But during the season, you can piece enough at-bats to like what you see as far as going through the lineup and the way guys are approaching at-bats."

Dayan Viciedo, who had a tooth pulled on Wednesday, homered three times during at-bats on the Minor League side Thursday. But it was Adam Dunn who once again received the bulk of the attention with two home runs, including a grand slam, and six RBIs off of Chen.

Dunn has four homers, one strikeout and nine walks in 24 at-bats. In the first inning, Dunn fouled off two pitches from Chen after getting ahead in the count at 2-1, took a third ball and then hit the next pitch out to left.

"That's my goal, to have good at-bats," Dunn said. "To have a plan each at-bat, whether I want to go up there and hit with two strikes, or go up there and hit the first thing I see that's a strike that I can hit hard and swing.

"Now it's playing baseball, just if it's there, swing. If it's not, make sure you get a pitch you can hit. Again, it goes back to seeing the ball. Not only seeing the ball. I know my strike zone, and whenever I'm not balanced, I start swinging at pitches I shouldn't."

Third to first

• White Sox manager Robin Ventura expects to have his roster set when the team leaves for two exhibition games in Houston. But he probably won't yet name a closer from among Matt Thornton, Addison Reed and Jesse Crain.

Crain will test his strained right oblique with a bullpen session Friday. The right-hander was scratched from a game last Wednesday and has not pitched since.

• Eduardo Escobar is 10 for his last 17, while Paul Konerko has hit in eight straight.