Allen could be the Rams' No. 1 tight end when the season starts while Tyler Higbee recovers from a torn ACL and MCL, CCameron DaSilva of USA Today reports.
Allen finished the 2023 campaign with 10 catches for 95 yards and a touchdown.
Allen secured all four targets for 25 yards during Sunday's 21-20 victory against San Francisco.
Allen secured his only target for 14 yards during Sunday's 28-20 victory against the Commanders.
Allen caught four of five targets for 50 yards and a touchdown during Sunday's 37-31 overtime loss to the Ravens.
Allen played nine of the Rams' 67 snaps on offense in Sunday's 37-14 win over the Cardinals, hauling in his lone target for a six-yard gain.