Andrew Bailey, who became the closer when Hanrahan was on the disabled list from April 14-29, went on the 15-day DL on Monday with a strained right biceps.
Farrell said Junichi Tazawa will take over the closer’s role.
The Red Sox also called up Jose De La Torre from Pawtucket and optioned Allen Webster to the Triple-A team in moves involving right-handed pitchers. De La Torre, in the majors for the first time, was acquired from Cleveland last July. He was 1-0 with a 1.56 ERA in 10 relief appearances for Pawtucket this year.
Webster was sent down one day after allowing eight runs in 1 2-3 innings in his second major league start.