Barnett is slated to sign to a one-year deal to remain with the Texans, Aaron Wilson of KPRC 2 Houston reports.
Barnett was claimed off waivers by the Texans on Monday, Adam Schefter of ESPN reports.
Barnett (ankle) was waived by the Eagles on Friday.
Barnett has been ruled out for Philadelphia's matchup with the Chiefs on Monday due to personal reasons.
Barnett (knee) has been participating in team drills at practice, Eliot Shorr-Parks of Sports Radio 94 WIP Philadelphia reports.
Barnett (knee) was limited Friday as he works his way back from an ACL injury, Dave Zangaro of NBC Sports Philadelphia reports.
Barnett (knee) was at practice Thursday warming up, Eliot Shorr-Parks of Sports Radio 94 WIP Philadelphia reports.
Barnett (knee) was placed on injured reserve Tuesday.
Barnett suffered a season-ending torn ACL during Sunday's win over the Lions, Adam Schefter of ESPN reports.