Duquette has been with the Orioles since 2011 and is under contract with the team through the 2018 season.
Last month, Fox Sports' reported that some in the Orioles organization wanted Duquette to leave Baltimore for the Toronto job.
Orioles owner Peter Angelos told The Baltimore Sun that the Blue Jays had expressed interest in Duquette, but that the Orioles are "not negotiating with them in any way."
"That is not going to happen," Angelos said. "There have not been any changes in the status of Dan Duquette. He is our GM and he is going to remain our GM."
Dan Connolly of the Sun spoke with Duquette on Monday, who said he didn't have any comment on the issue and would talk about it "when the time is appropriate."
"At this point, there really is nothing to say on the issue," Duquette said. "I don’t have a comment on the issue you want to talk about."
Baltimore won the American League East last season, while Toronto finished third in the division with a 83-79 record.
- Scooby Axson