The club sees opportunities now that the 31-year-old ex-Feyenoorder is without a club.
Heerenveen technical manager Ferry de Haan has confirmed that there is contact with Jahanbakhsh, stating that he possesses qualities currently missing in their squad.
Jahanbakhsh is clubless after leaving Feyenoord last summer and had been linked with Genoa previously.
Currently, SC Heerenveen is in a precarious position and ranked 15th out of 18 in the Eredivisie with 9 points from 11 games.