The Texans hope to sign Clowney before the March 6 franchise tag deadline. If a deal is unable to be made, Houston will likely resort to the franchise tag, according to Rapoport.
Clowney's four-year, $22.27-million contract expires after this season. He totaled 47 tackles, nine sacks, and three fumble recoveries in 2018.
Mathieu signed a one-year $7-million deal in March. He provided a much-needed boost to an injury-riddled Texans secondary, totaling 89 tackles, three sacks, and two interceptions this season.