Red Sox relief pitcher Craig Breslow has achieved a satisfactory level of consistency since coming off the disabled list.

Breslow contributed a rare scoreless relief inning in the seventh of Thursday night’s 12-3 loss in the opener of a four-game series with the Cleveland Indians at Fenway Park. He was ready and anxious for more work if the need arose in last night’s rain delayed encounter with manager Terry Francona’s Tribe.

Breslow has become a manageable and reliable fixture in the Sox bullpen since joining the team on May 6. The southpaw began the season on the 15-day disabled list with shoulder tendinitis on his throwing side.

Following one rehab hitch with Portland and three with Pawtucket, Breslow has secured a middle relief niche in manager John Farrell’s bullpen.

“I don’t know what the right balance is between (work and rest), but I’ve always taken a lot of pride through the years in being consistent and taking the ball as often as it’s needed,” said Breslow. “I feel like I’ve still have some room to develop in terms of getting my strength back and my comfort back. I think the best way to obtain those is to get work.

“I’ve never been one to complain about work load, especially when I’m making up for lost time.”

Breslow’s numbers would attest to both his strength and the comfort he’s provided Farrell when a lefty has been required. Breslow has thrown seven consecutive scoreless outings, and eight of the last nine, compiling a stingy 1.04 ERA over those 82⁄3 innings of work.

Breslow earned his first win and hold of the season with 12⁄3 scoreless innings against the Twins on May 18. Opponents are batting .219 against Breslow, but the numbers dip significantly against lefties — surrendering just two hits in 15 at-bats for a .133 average.