The Wizards are 10 points clear of Swansea in last place though and have been on an improved run of form of late as they shocked Carmarthen Quins earlier this month while also running league leaders Pontypridd close.
Saturday's game will be the fourth time the sides have met in Cup competition with Swansea winning all three previous ties. They first met during the 1975-1976 season - also at the quarter-final stage of the Schweppes Cup - with Swansea winning the match 24 - 18 at the Talbot Athletic Ground.
The sides next met at St Helen's during the 1990-1991 season, with the All Whites winning 23 - 13.
They last met in the competition during the 1997-1998 season with Swansea winning the SWALEC Cup match 66 - 12 at St Helen's.
That match was played on February 28th 1998 with Richard Diplock and Steve Vickers scoring tries for Division One side Aberavon, while Jason Ball added a conversion. Premier Division Swansea ran in 10 tries and kicked eight conversions.
In the same fixture in the league earlier this season, Swansea were convincing 32-13 winners at St Helens back in September but have secured only one win since then.
And given Aberavon's recent run of good performances, the Wizards will be confident of a good result despite being on their travels.