Gutierrez, who joined the Canaries from Newcastle, has declared himself fit while Alex Tettey and Anthony Pilkington will also both be in the squad after long injury absences.
Centre-back Michael Turner (hamstring), midfielder Jonny Howson (back) and winger Elliott Bennett (knee) are all expected to remain out.
Norwich (from): Ruddy, Whittaker, Martin, Bassong, Gutierrez, Olsson, Johnson, Fer, Redmond, Snodgrass, Hoolahan, Hooper, Bunn, Van Wolfswinkel, Josh Murphy, Jacob Murphy, Pilkington, Tettey, R Bennett, Elmander, Garrido, Fox.