Duquette, speaking Saturday at the team's annual FanFest, said that contract talks with Davis "really hasn't progressed" this winter.
Davis, who led the majors with 53 homers and 138 RBIs last season, responded to Duquette's comments when approached by reporters at the FanFest.
"Really?" Davis said. "Did he say anything else? Dang it. Keep me up to speed on that.
"I know they talked at the end of last year, but obviously nothing came to a head. It's something we're going to have to wait and see. It's not my job to worry about that."
Davis and the Orioles avoided arbitration last month, agreeing to a one-year contract worth $10.35 million. The All-Star first baseman made $3.3 million last year and is scheduled to be a free agent after the 2015 season.
The 27-year-old Davis, who is represented by agent Scott Boras, reiterated that he would prefer a long-term deal to stay in Baltimore.
"I've said it before and I'll say it every day -- I love being in Baltimore," he told reporters. "This has been a place that's really felt like a second home to me. Just thinking about Opening Day last year, it's hard not to fall in love with this city and the fan base. The fans really understand the game of baseball, so I'd love to stay here.
"My job is to go out there and prepare to play every day for the Orioles. I've got plenty on my plate to worry about. That's the reason I have [Boras], that's the reason [Duquette] is in the position that he's in. We'll have to wait and see."
Another client of Boras is Orioles catcher Matt Wieters, who told reporters that he hopes to avoid arbitration. Duquette also wants to avoid arbitration and said that he hopes to have a deal with Wieters by next week.
Duquette also told the crowd that the Orioles will try to negotiate a long-term deal for All-Star shortstop J.J. Hardy before Opening Day.
Davis, Wieters and Hardy have been key players over the last two years for the Orioles, who went 14 years without a winning season before Duquette and manager Buck Showalter teamed to take Baltimore to the playoffs in 2012.
Last year the Orioles went 85-77, which wasn't good enough to reach the postseason but still represented a successful campaign for a franchise that struggled for well over a decade.
The Associated Press contributed to this report.