"It's just great that we're winning and I'm in those situations," Henderson said.
The previous record was held by Trevor Hoffman, who logged a save in 11 straight appearances in 2009, when then-manager Ken Macha was coaxing Hoffman to the 600-save plateau. Henderson surpassed Hoffman's mark with good pitching -- he entered Wednesday with a 1.82 ERA -- and good luck, because Henderson has not been needed in a tie game.
"He's done a great job. Those kinds of numbers, though, that stuff's misleading," Brewers manager Ron Roenicke said. "It's great, but it's just opportunity.
"I like what he's doing. I like that when he gets a save opportunity, he's really pitching well."
Henderson still has a long way to go to break a more prominent club record. John Axford converted 49 consecutive save opportunities from 2011-12.
Adam McCalvy is a reporter for MLB.com. Read his blog, Brew Beat, and follow him on Twitter at @AdamMcCalvy. This story was not subject to the approval of Major League Baseball or its clubs.