The Texans acquired Mallett in a trade last August and he spent the first half of the season backing up Ryan Fitzpatrick. Mallett took over as starter on Nov. 16, but a torn pectoral muscle ended his season after two starts.
Both Mallett and Hoyer previously served as a backup quarterback for Tom Brady with the New England Patriots.
Mallett, 26, completed 41-of-75 passes for 400 yards, two touchdowns and two interceptions in three games last season before his injury. It was his first game action since 2012.
The Texans went 9-7 last season, missing the playoffs.
- Brad Rowland