Davis is on a tear at the plate, hitting his 33rd and 34th homers of the season in Saturday's 4-3 walk-off win. The slugger has homered six times in his past six games and has a league-leading 88 RBIs.
Davis, who is represented by Scott Boras, is not the only big-name free agent in Baltimore. Matt Wieters, Gerardo Parra, Wei-Yin Chen, Darren O'Day and Steve Pearce are others.
"We are going to sign some of them," Duquette said of the free agents. "And some of them, we are not going to sign."
Duquette also cited the organization's farm system as something that keeps him hopeful the team can continue to be competitive every year. The yearly Q&A session also saw him reiterate that the O's were not comfortable offering Nelson Cruz -- who signed with Seattle -- a four-year deal this winter.
Brittany Ghiroli is a reporter for MLB.com. Read her blog, Britt's Bird Watch, follow her on Facebook and Twitter @britt_ghiroli, and listen to her podcast. This story was not subject to the approval of Major League Baseball or its clubs.