Rush will participate in a workout with the Texans, Aaron Wilson of The Houston Chronicle reports.
The 26-year-old quarterback most recently suited up as a member of the Giants' practice squad, but he apparently did not show enough for offensive coordinator Jason Garrett to consider him indispensable. Houston is taking a look at its developmental quarterback options, with the team currently having Bill O'Brien-era holdover AJ McCarron playing on a $4 million deal as the No. 2 QB.