The Argentine has only managed two appearances since joining Norwich on loan from Newcastle in January after picking up the injury in training.
The 30-year-old is not used to being injured and says his time on the sidelines has made him even more determined to help out the Canaries between now and the end of the season.
Gutierrez told the club's website: "In the nine years that I've been in Europe, I've never had a lot of injuries so I've been able to play quite a lot but that is football.
"I'm happy that we got the three points last weekend and I want to help. The most important thing is to be ready if the manager needs me."
Gutierrez watched from the bench as Norwich beat Sunderland at Carrow Road on Saturday and is now focused on playing his part for the rest of the reason.
He said: "I think we made a big step in the last game, but now we have to focus on these next three games. They are really important because we are playing teams who are in the same position or a similar position to us, so now we're just looking forward.
"We're a tough group to beat and all the players want the best for the team."