Teams that lose “more or better” free agents than they acquired the previous year are eligible for compensatory picks.
The Rams’ third-round picks are for the losses of cornerback Trumaine Johnson, who signed a five-year, $72.5-million contract with the New York Jets, and receiver Sammy Watkins, who signed a three-year, $48-million free-agent deal with the Kansas City Chiefs.
The Rams, defeated by the New England Patriots in the Super Bowl, have seven picks in the draft, which will be held April 25-27 in Nashville.
The picks are at No. 31 in the first round, 94 (third round), 99 (third-round compensation), 133 (fourth), 169 (fifth), 203 (sixth) and 251 (seventh).
The NFL scouting combine begins next week in Indianapolis.