Biscuits reliever Matt Ramsey is the latest to go on the disabled list, though Montgomery has added right-hander Matt Neil.
No reason for Ramsey going on the DL was included in the Biscuits' announcement of the Rays' announcement.
Ramsey hasn't given up a hit in three innings/three appearances, but he hasn't pitched since April 10 -- and that's his only outing since April 5.
Neil was a combined 5-5 with a 3.70 ERA between Double-A Jacksonville and Triple-A New Orleans in the Miami organization last year. He's a fourth-year pro and was a 29th-round draft pick of the Marlins out of BYU in 2011.
Biscuits reliever Sam Runion also went on the disabled list Monday with a shoulder injury.