"I guess you go day by day, [depending on] how it goes," manager Joe Girardi said. "You hope the catch goes well today. He's a little bit further ahead of where Boone is. We'll see where he is after today."
Logan had an MRI performed on Saturday that showed inflammation in his left biceps, and he had a cortisone injection administered. Girardi seemed doubtful that Logan would be available until Friday against the Red Sox.
"I'm not sure we're going to get him this series, I'm not," Girardi said. "I'm hopeful that we will, maybe [Thursday], but you've just got to go day by day."
With the pair of relievers unavailable, the Yankees' bullpen has been thin, which is why Girardi tried to squeeze a two-inning save out of Mariano Rivera on Sunday -- something the 43-year-old closer has not done in the regular season since July 16, 2006.
Bryan Hoch is a reporter for MLB.com. Follow him on Twitter @bryanhoch and read his MLBlog, Bombers Beat. This story was not subject to the approval of Major League Baseball or its clubs.