Malmo carried a threat in the early stages of the first period, but were unable to make the breakthrough as the two sides entered the break level.
Swansea looked the most likely to open the scoring in a low-key second half, but they could not find that elusive pass in the final third as they advanced courtesy of their 4-0 win at the Liberty Stadium.
Read how it all unfolded in Sports Mole's minute-by-minute live commentary of the action below.
MALMO: Dahlin; Richardinho, Albornoz, Jansson, Helander; Rakip, Hamad, Friberg, Forsberg; Cibicki, Eriksson
SWANSEA: Tremmel; Richards, Chico, Williams, Taylor; Canas, De Guzman, Pozuelo; Routledge, Michu, Bony