However, they travel to Switzerland to face St Gallen on Thursday evening in the knowledge that a point would secure their spot in the last 32 of the competition.
Even a defeat could see Michael Laudrup's men progress, providing that Kuban Krasnodar are unable to overturn a three-goal deficit from their trip to Spanish side and group winners Valencia.
Last season's leading goalscorer Michu has returned to action following a hamstring injury and is expected to be included in the side, but the Swans will be without goalkeeper Michel Vorm because of a knee complaint.
Defender Mario Mutcsh has also been ruled out because of a one-match suspension.
St Gallen: WLLWLW
Possible starting lineups
St Gallen: Lopar; Besle, Stocklasa, Demiri, Russo; Mathys, Wüthrich, Lenjani, Rodriguez; Janjatovic, Karanovic
Swansea: Tremmel; Tiendalli, Williams, Chico, Taylor; Canas, Shelvey, Pozuelo; Routledge, Lamah; Michu
Sports Mole says: 1-1