"I think Trey's done a terrific job," Moore told MLB.com on Monday, and he's made similar comments to other reporters in the past two days.
Hillman, in the final year of his three-year contract, was in a philosophical mood as he held his regular briefing with the media on Wednesday afternoon.
"All I really want is for the Kansas City Royals to be a contending club and to be in a position to win baseball games," Hillman said. "That's all I want. But I'd prefer, if I had my druthers, that I be the manager. But that's not the end game for me."
"I've always been driven to be part of things that are successful, and I always will be. And I've been blessed to be a part of a lot of things that were very successful. It wasn't just me, it was all the components that go into it. But in a lot of the situations where there has been success in the past, I have been the leader. And, 11 games under .500, I still feel blessed to be here. We're not where we want to be ... but we've got 120-something games left. Over the years I've learned that the first month and a half does not a season make."
Hillman also was somewhat bemused that some fans perceive him as not being frustrated by the club's losses.
"I'm as frustrated as I've ever been," Hillman said. "People don't think that I'm frustrated and that I live and die with every game. All they have to do is look at a picture when I was hired and look at my face and hair now. I've had more people tell me this year I better get the Grecian Formula out than ever before."