The trade rumors linking Brewers right-hander Yovani Gallardo to the D-backs have legs, according to multiple sources, but Gallardo said Thursday morning he had more important things to worry about.

"You can think about it all you want, but there's nothing you can do," Gallardo said. "There's really nothing you can do. You just have to go out there and pitch, and then wait around to see what happens. It's already hard enough to pitch at this level to begin with, so the last thing you need is to be thinking about things like that."

The D-backs and Brewers have had preliminary discussions about a deal involving Gallardo and Arizona's left-handed prospect Tyler Skaggs, a player Milwaukee officials -- and plenty of other teams -- are high on. Those talks were first reported Wednesday night by FOXSports.com and CBSSports.com, with FOX's Ken Rosenthal saying Arizona had also inquired about relievers John Axford, Jim Henderson and Francisco Rodriguez.

But as of Thursday morning, no trades were imminent. General manager Doug Melvin has expressed an openness to making deals before the July 31 Trade Deadline, and would probably target an impact pitching prospect and/or corner infielders in a significant trade.

Gallardo, 27, is signed at $7.75 million this season and $11.25 million for 2014, with a $13 million club option for 2015 or a $600,000 buyout. He threw 21 consecutive scoreless innings over three stellar starts from May 10-20, but has struggled mightily in his last two, allowing 11 earned runs on 17 hits and six walks over seven innings against the Cubs and Nationals.

Brewers manager Ron Roenicke encountered a similar situation last season with Zack Greinke, and the two chatted about staying focused amid swirling rumors. Roenicke is planning a similar sit-down with Gallardo, though he made clear that Greinke was different in that he was a free agent-to-be, and thus much more likely to be dealt.