A right-hander who turns 30 on July 30, Faria was 3-2 with a 6.47 ERA in nine starts and 10 relief appearances for Worcester.
Faria last pitched in the majors in 2021, making 23 appearances with a 5.51 ERA for Arizona. Boston brought up Faria up April 16 but he did not appear in a game and was designated for assignment the following day.
"We need innings just in case," Boston manager Alex Cora said. "He's a guy, we trust his stuff. If needed, he'll go multiple innings."
Faria debuted on Sunday against the Chicago Cubs and gave up three runs in the eighth on four straight walks, an infield single and a sacrifice fly. Faria gave up two more runs in the ninth but Boston held on to win 11-5.
Faria has a 4.70 ERA in 72 appearances with Tampa Bay, Milwaukee and Arizona. Minnesota released the 29-year-old on June 23 last year and he signed a minor league contract with Boston.
"Especially after how last season went, just sitting at home watching guys play and how much I hated that feeling, it's been great this year," Faria said.
Scott has a 7.45 ERA after giving up two runs in an inning Saturday in a 10-4 loss to the Chicago Cubs. He is 0-1 with a 10.18 ERA in 31 career appearances with Seattle, Baltimore, San Diego, the Los Angeles Dodgers and Boston.
The Associated Press contributed to this story.