"They made an offer, but I'm going to test the market and see what's out there for me," Orlovsky said Monday in a telephone interview with The Associated Press. "I'm pretty confident that I'm going to get a better offer."
An e-mail seeking comment was sent to Lions president Tom Lewand and general manager Martin Mayhew.
Orlovsky hopes to be able to compete for a job instead of being relegated to reserve status.
Lewand announced earlier this month that Daunte Culpepper renegotiated his contract for the 2009 season with the team. At that time, Detroit coach Jim Schwartz said the team was still discussing all options at quarterback, including the other four that played for them last season: Orlovsky, Jon Kitna, Drew Stanton and Drew Henson.
Who did Detroit officials tell Orlovsky he would be backing up?
"Daunte," Orlovsky said.
Free agency begins Friday, when teams can also start trading players.
In two months, Detroit might draft Georgia quarterback Matt Stafford with the No. 1 pick in the NFL draft.
The Lions drafted the former Connecticut standout in the fifth round of the 2005 draft and he played in two games as a rookie. After sitting behind Kitna for two seasons, the native of Shelton, Conn., started seven games and played in 10 for the NFL's first 0-16 team.
Orlovsky completed 56 percent of his passes last year for 1,616 yards with eight touchdowns and eight interceptions.
"I want to be back in Detroit, but this is an important decision and I want to make sure I make the right decision."