Evans is suffering from tonsillitis, and is rated as doubtful. Swansea have put both Dan Dorsey and Tim Evans on standby should Evans fail to recover.
The All Whites have won just one game in the Hieneken Cup this season, a 26-19 win over Bristol shoguns in round 3.
Swansea: G Swales; S Payne, M Taylor, S Gibbs, R Rees; G Henson, S Cordingley; D Morris (capt),C Balshen, D Dorsey/Tim Evans/B Evans, J Slade, J Thomas, D Thomas, C Charvis, J Bater.
Replacements: C Wells, D Dorsey/Tim Evans, R Jenkins, R Francis, A Thomas, S Winn.