The Yankees are 5-6 in games in which Nuno starts, including 1-5 at Yankee Stadium, the sight of Nuno's next scheduled start, against the Orioles on Saturday.
"I don't ever put that type of pressure on people," Girardi said. "They understand what is on the line every day, and they understand that this is a performance-based business."
During his bullpen session Wednesday, Nuno worked on finding the right grip on his cutter, which he said will be essential for his success. He said he is not worried about pitching for his job.
"It's the nature of the game," he said. "It's in the back of my mind. I've been working on stuff day in and day out, but I'm just going to go out there, enjoy it and have fun.
"If I can't do that, I'm just going to keep fighting and see where it takes me. I don't think about [losing my spot]."
Jamal Collier is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.