The Argentine is expected to be available for selection at Deepdale on Sunday.
The full-back joined Swansea from Espanyol in 2008 and was in his second spell at The Liberty Stadium. After a brief spell with Leeds and Charlton, Bessone re-joined the Swans in the summer of 2011 and made just one Premier League appearance.
An exclusive interview with Bessone is now available to STFC Players subscribers. Click here to watch.