Rivers signed his contract tender with the Rams on Monday.
The Rams have extended a contract tender to Rivers, Stu Jackson of the team's official site reports.
Rivers rushed 13 times for 52 yards and was not targeted as a receiver in Sunday's 21-20 win over the 49ers.
Rivers caught his only target for four yards during Sunday's 26-25 victory against the Giants.
Rivers rushed six times for 20 yards during Thursday's 30-22 victory against the Saints.
The Rams activated Rivers (knee) from injured reserve ahead of Thursday's game against the Saints.
Rivers (knee) was a full participant at Tuesday's walkthrough, Adam Caplan of SiriusXM NFL Radio reports.
The Rams designated Rivers (knee) for return from injured reserve Tuesday.
The Rams are placing Rivers (knee) on injured reserve, Greg Beacham of the Associated Press reports.
Rivers is expected to be sidelined 4-to-5 weeks with a sprained PCL in his knee, Ian Rapoport of NFL Network reports.