Gutierrez, the club's first-round pick in the 2008 First-Year Player Draft, left the game after surrendering a three-run homer to Red Sox prospect Will Middlebrooks in the sixth inning.
"He got a couple of outs, so I don't know if he felt on a pitch or over the course of the inning," Ryan said. "So we'll find out more on Monday."
Gutierrez, a hard-throwing reliever, has a 9.00 ERA in four innings so far this season. He has a career 4.13 ERA in the Minors with 234 strikeouts in 325 innings.