Manager Joe Girardi said that while Teixeira has been dealing with pain in his right knee this season, Friday was the first time that it locked up.
"It's a different feeling now," Girardi said. "It wasn't locking up then. It's something he's dealt with before, and today he said he felt it a little bit."
Teixeira has also battled neck spasms and missed four games May 25-28 as a result. On Friday, he grounded to first in a second-inning at-bat to drop to 3-for-43 since May 17.
"I don't know if it happened jogging out in-between [innings]," Girardi said, "or if it happened running to first, but he said it locked up."
Should Teixeira miss any significant time, the Yankees will find themselves in a serious predicament. The club is extremely thin at the first-base position, with Greg Bird and Dustin Ackley having both undergone season-ending shoulder surgeries.
Refsnyder, 25, has been taking grounders at first base during batting practice over the past few days, but he said he has never played the position regularly. The last time he even played the position sparingly, he said, would have been at the University of Arizona, where he played from 2010-12.
"What I'm focused on now," Refsnyder said, "is just getting game reps and getting as comfortable as I can. ... If that's what Joe needs, that's what I'll do."
Ben Raby is a contributor to MLB.com based in the Washington, D.C./Baltimore region.