The 25-year-old has been the backup running back in the Texans' offense since he was drafted by the club in the second round of the 2010 Draft.
Tate told FOXSports.com: "That's not why I wanted to be in the NFL. That's not my dream to complement someone else.
"That's not what my attitude or why I work out is to complement someone else."
Houston face the Tennessee Titans on Sunday.