That increasing buzz from Class AAA Omaha is getting harder to ignore.

The Royals are in dire need these days of offensive pop and help in their rotation – and there, just up Interstate 29, sit their two most-advanced prospects, outfielder Wil Myers and right-hander Jake Odorizzi, posting big numbers.

For now, at least, the Royals are resisting temptation.

“You’d like to see more at-bats and more innings,” general manager Dayton Moore cautioned. “We’d rather be a month or two late in calling a guy to the big leagues than a month or two early.

“We’re going to continue to take a conservative approach in transitioning young players to the major leagues. That’s the approach we’ve always adhered to, and that’s not going to change.”

That’s not an absolute “no,” obviously. And Moore acknowledged Myers, Odorizzi or both could see big-league time prior to the end of the season. That seems particularly true for Odorizzi, who must be protected after the season on the 40-man roster.

But neither player appears to be under immediate consideration.

Manager Ned Yost said Odorizzi’s name never surfaced as an option in recent weeks when injuries to Jonathan Sánchez, Danny Duffy, Felipe Paulino and Everett Teaford ravaged the club’s rotation.

“We haven’t even come close to discussing it,” Yost said. “He’s doing fine, and he’s going to be a tremendous major-league pitcher, but you can’t rush these things. It’s the same thing with Wil Myers.

“There are roster issues, too, which are extremely complicated.”

About those roster issues…

The Royals currently have no space on their 40-man roster, although they could create one easily enough by shifting lefty Danny Duffy, who is out for the season, from the 15-day to the 60-day disabled list.

Players on the 60-day list don’t count against the 40-man limit.

The bigger issue could be service time. Myers and/or Odorizzi, if promoted in the next few weeks, could be positioned to reach arbitration a year early under the revised super-two provision of labor agreement.

That status could easily result in millions of dollars.

The Royals ignored such potential consequences in the past – most notably when they promoted first baseman Eric Hosmer in May 2011 – but they are unlikely to accept that risk unless convinced the player is big-league ready.

Everything suggests club officials aren’t there yet even though the numbers are getting harder to ignore.

Odorizzi, 22, is 3-0 with a 2.22 ERA in five games at Omaha since his promotion from Class AA Northwest Arkansas. He is 7-2 overall with a 2.85 ERA in 12 games with 74 strikeouts and 19 walks in 66 1/3 innings.

There is even less reason, in terms of service time, to promote Myers because he won’t require protection until after the 2013 season. But he’s on the Hosmer/Mike Moustakas plan; when judged ready, Myers will get the call – regardless of other issues.

“He’s not ready today,” Moore declared. “Could he come up here and do OK? Probably. But I think his timetable is closer to Eric Hosmer’s. He’ll (probably) come up sometime early next year if he continues to do well.”

Myers, 21, is batting .341 with eight homers and 26 RBIs in 24 games at Omaha since arriving from Northwest Arkansas. He is batting .342 overall in 59 games with 21 homers and 56 RBIs.

“I’m not saying we’re not open-minded,” Moore said. “What I would say is we’ll continue to evaluate week to week and month to month. We’re pleased with what he’s doing. He hasn’t missed a beat.

“But there are still challenges he needs to meet in Triple-A.”

To reach Bob Dutton, Royals reporter for The Star, send email to bdutton@kcstar.com. Follow his updates at twitter.com/Royals_Report.