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The Blue Jays reportedly are pursuing Kansas City ace Zack Greinke, though Toronto is among 15 teams on his no-trade list. ((Charlie Riedel/Associated Press))

Don't roll out the welcome mat for Zack Greinke just yet, Blue Jays fans.

Urgency isn't part of Dayton Moore's vocabulary this week at baseball's winter meetings in Lake Buena Vista, Fla.

Moore is general manager of the Kansas City Royals, who employ Greinke, the ace pitcher receiving loads of attention from American and National League teams looking to swing a trade.

Thing is, he doesn't have to make a deal this week, this month or perhaps until next year's winter meetings because the 27-year-old Greinke is under contract for two more years at $13.5 million per season.

"We've got a lot of irons in the fire," Toronto general manager Alex Anthopoulos told reporters in Florida Tuesday, "but I wouldn't be a bit surprised if we left here without doing anything."

Reports out of Florida suggest talks between the Blue Jays and Moore have "slowed."

A source has told FOXSports.com that Moore has received "fair" offers for Greinke, the AL's top pitcher in 2009.

In any Greinke move, the Royals are said to want starting pitching and help at one or more of the four up-the-middle positions — centre field, shortstop, second base an catcher.

Royals covet Lawrie

The Blue Jays did pick up speedy centre-fielder Rajai Davis in a trade with Oakland last month.

Kansas City is also thought to covet second baseman Brett Lawrie of Langley, B.C., whom Anthopoulos acquired on Sunday by trading pitcher Shaun Marcum to the Milwaukee Brewers.

Besides Toronto, the Texas Rangers, Los Angeles Dodgers, Washington Nationals and maybe another club are seriously pursuing Greinke, the source told FOXSports.com.

The Toronto Sun has reported that Greinke could be had for a package including top pitching prospect Kyle Drabek — the key player in the Roy Halladay trade a year ago — outfielder Travis Snider and a minor leaguer or two.

While the Blue Jays are one of 15 teams on Greinke's no-trade list, sources have told FOXSports.com that the pitcher is willing "to go anywhere."

After posting 16 victories, a 2.16 earned-run average and 242 strikeouts in his Cy Young Award campaign of '09, Greinke took a step back this past season with a 10-14 record, 4.17 ERA and 181 strikeouts.

But that hasn't lowered the price for the right-hander.

"If we decide to move Zack, there'll be enough for us [in return] to be satisfied if that's what we decide we ultimately need to do," Moore told MLB.com.