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07/30/12 8:50 PM ET

Garza's bullpen session goes 'extremely well'

CHICAGO -- Cubs pitcher Matt Garza, who came out of his last start July 21 because of cramping in his right triceps, threw a bullpen session on Monday, and he could start this weekend against the Dodgers.

Garza's workout Monday "went extremely well," Cubs manager Dale Sveum said.

"It was better than I imagined," Sveum said. "It was a normal bullpen. He threw all his pitches, [had] velocity, extended himself with his slider and curveball and changeups. It went extremely, extremely well."

Because of Thursday's off-day, the Cubs have some flexibility as far as the pitching rotation.

"We'll see how he feels in the morning or tomorrow afternoon," Sveum said. "Hopefully, we can schedule him in three, four, five days."

Dempster preps for Tuesday start amid rumors

CHICAGO -- Ryan Dempster did the same pregame prep work he normally does before a start, except the right-hander isn't quite sure he'll be taking the mound Tuesday night for the Cubs.

Cubs manager Dale Sveum said the team will have a contingency plan. Would Sveum be surprised if Dempster is still a Cub after the non-waiver Traded Deadline passes at 3 p.m. CT on Tuesday?

"Yeah, I'd be surprised, I guess," Sveum said. "There's too many teams and he's too good a pitcher for people to not want him these last two months."

Dempster, 35, rumored to be dealt by the Deadline, said Cubs president of baseball operations Theo Epstein and general manager Jed Hoyer have kept him up to date when necessary. The Braves thought they had a deal last week, but the Dodgers appear to have the most interest.

"If they have anything that comes to fruition, [I asked them to] just let me know and we'll make a decision from there," Dempster said. "Nothing's been said in a little while."

Dempster (5-5, 2.25 ERA) has control over where he would go because he has 10-and-5 rights (10 years in the big leagues, five with the same team). Even though he'll make the final call, all the rumors have become a little tiring.

"I'm human, so it's an emotional roller coaster sometimes," he said, "but at the same time, I can control what I do, and I'm going to try to do the best job of that. I have a job to do [Tuesday] and that's to go out there and pitch, and I"m trying to prepare for that."

Asked if he had a gut feeling about what might happen, Dempster said, "I have all kinds of gut feelings right now."

He's gotten positive feedback from fans at Wrigley Field, who don't want to lose the right-hander.

"I'm truly grateful for that," Dempster said.

What has made Dempster so effective this season has been his pitch efficiency, Sveum said. The right-hander added a backdoor cutter, which has given him a fourth pitch, and he can locate well. He's third in the NL in WHIP at 1.04 and is holding opponents to a .210 average. He has posted a quality start in 11 of his 16 starts and would have more wins if not for a lack of run support early. He didn't win his first game until June 5.

In 1996, when Dempster was in the Rangers' Minor League system, he was traded to the Marlins, and in 2002, he was dealt to the Reds. Getting traded isn't a first, but it's still been strange to hear his name mentioned so often on the clubhouse television.

"There's tons of rumors and tons of speculation all the time," Dempster said. "This is something I've tried to keep close to me so it can get handled the best it can. Sometimes there are rumors that are true, and sometimes there are rumors that aren't [true]. I can't control that. I can just control what I can do, and that's go out there and prepare to do my job the best I can."

What if the Cubs don't make a deal?

"It's a great place to play," Dempster said of Chicago. "I've enjoyed every moment I've played here, and I'm super proud to be a Chicago Cub and I understand that's always a possibility, and if that's the case, I'm going to give everything I have starting [Tuesday] night. Whatever ends up happening in 24 hours or 23 hours from now, we'll find out then. It could be sooner, it could be wearing my uniform and going out and pitching [Tuesday]."

Sveum eager for Trade Deadline to pass

CHICAGO -- The rumors on Monday regarding Ryan Dempster ranged from talks heating up to no new discussions, depending on who you followed on Twitter. Cubs manager Dale Sveum can't wait for Tuesday's non-waiver Trade Deadline to pass.

"I don't think it's ever easy, especially after you've heard your name mentioned," Sveum said. "I think it'll be a relief once [Monday's] game is over and [Tuesday] we get to 3 [p.m. CT] and see where we are then."

Despite all the talk, Cubs players have been able to focus on the job at hand.

"We've played really well through it, there's no question about it," Sveum said. "But it's there, and it's all part of the game and we've all had to deal with it, especially if you're a veteran player and get to the status of free agency and contracts. We've dealt with it pretty well."

Sveum isn't worried about what holes he may need to fill if any of the players are moved.

"You don't dwell on things that haven't happened yet," he said. "Until we have a different roster or somebody new in that clubhouse, you don't dwell on it. If you lose pieces, you go on and do the best you can and try to win ballgames without them."

Carrie Muskat is a reporter for MLB.com. She writes a blog, Muskat Ramblings, and you can follow her on Twitter @CarrieMuskat. This story was not subject to the approval of Major League Baseball or its clubs.