The All Whites' campaign began with a 47-12 defeat to Montferrand and they will be looking to get back on track against Leinster.
Coach John Connolly has dubbed the game a must-win affair if his side are to qualify for the knockout stages of the competition.
'This is a tough pool and I imagine we will have to win it to reach the quarter-finals. That means victory on Saturday is absolutely vital.'
'Leinster is just as tough a match as Montferrand,' said Connolly.
'We will be facing half the Irish team when Leinster play us at St Helen's this time.'
Swansea: S Payne; R Rees, M Taylor, S Gibbs (c) M Robinson; G Henson, S Cordingley, D Morris, C Balshen, B Evans, Forley, J Grittiths, D Thomas, C Charvis, T Tamarua
Replacements, R Jones, A Thomas, D Colclough, D Dorsey, J Thomas, R Jenkins