Swanson joined Hearts from Coventry City in September but has made only nine appearances. He spent four months on loan at St Johnstone last season whilst out of favour at Coventry and is keen to return to McDiarmid Park.
The 29-year-old is hopeful that a deal can be concluded before the transfer window shuts at midnight. If not, he could be released by Hearts to allow him to move as a free agent outwith the window.