Carter hurt his quad in the teams Week 4 win over New Orleans and was given a two week timetable to return.
If Carter does not play then rookie Anthony Hitchens will play on the strong side of the defense for the Cowboys. The Cowboys believe that Rolando McClain will be able to play in the Week 6 contest.
In his four games of work Carter has picked up 17 tackles and a sack. The 26-year-old is in his fourth season with the team.