The Marlins selected Driscoll's contract from Triple-A Jacksonville on Friday, Kevin Barral of FishonFirst.com reports.
Lord is slated to start Friday's game against the Marlins in Miami.
Herz (elbow) struck out two and allowed one hit and two walks over two scoreless innings in a rehab start Thursday with Double-A Harrisburg.
X-rays on Abrams' left ankle came back negative Thursday, but manager Blake Butera said Abrams will likely need to sit again Friday, Mark Zuckerman of NatsJournal.com reports.
Abrams is absent from the lineup for Thursday's contest versus the Rangers.
Phillips struck out three and allowed one earned run on two hits and two walks across two innings of relief in Tuesday's 6-4 loss to the Phillies.
King made his professional debut at third base Wednesday with Triple-A Rochester, going 3-for-4 with a walk, a home run, two runs scored and two RBI.
Sanoja went 3-for-3 with a solo home run in Wednesday's 4-1 loss to the Phillies.
Cavalli (11-5) earned the win Wednesday against the Rangers, allowing no runs on three hits and one walk while striking out 11 over six innings.
Chaparro went 3-for-4 with a three-run home run, double, and two additional runs scored in Wednesday's 6-0 win over the Rangers.
