NFL.com's Albert Breer and Kimberly Jones first reported that the sides were discussing a possible trade.
In his first season in Houston, the 32-year-old Fitzpatrick completed 63% of his passes with 17 touchdowns and eight interceptions, missing the final month of the season after injuring his leg. He went 3-6 in his starts for the Texans.
Fitzpatrick is set to make $3.25 million in 2015, the final season of his contract.
- Scooby Axson