The Seadogs are currently bottom of the Conference table, and boss Neil Redfearn has targetted a new goalscorer to try and avoid the drop.
Parton, who almost Conference North side Stalybridge Celtic in the summer, has started just four games this season - despite starting as a first-choice striker alongside Steve Torpey.
Iron boss Brian Laws is considering adding to his squad ahead of the deadline, but insists he will not sign a player "just for the sake of it".
If he does strengthen his side, however, it is likely to be for a midfielder following the three-match ban faced by Richard Hinds.