The NFL's six-owner committee on Los Angeles opportunities recommended the project headed by the San Diego Chargers and Oakland Raiders to build a $1.7 billion stadium in Carson, California.
The Orange County Register reported the committee made its recommendation on a 5-1 vote, with Kansas City Chiefs owner Clark Hunt opposing the recommendation.
Any move must be approved by 24 of the NFL's 26 owners.
The Rams presented their project on Inglewood first, followed by the Chargers and Raiders.
Owners will vote between the Carson proposal and Jerry Jones' idea of pairing the Rams with the Chargers in Inglewood.
Update from Sam Farmer: After the first round of votes, the Rams' project in Inglewood with a to be determined team received more votes than the Raiders and Chargers in Carson but that plan didn't receive 24 votes.
The NFL will now meet with the Rams, Chargers and Raiders individually in hopes of making a deal to dissolve the pact between the Raiders and Chargers.
According to Judy Battista, there is strong opposition to moving the Raiders to Los Angeles among owners. If the Raiders step aside, the NFL will help the improve their situation in Oakland.