The 6ft 3" striker has reportedly attracted the interest of Nigel Adkins- who is still on the hunt for a target man.
Nish has scored 40 goals in 145 appearances for Kilmarnock, including 8 in the Scottish Premier League this season. He has also appeared for Alloa and Clyde since starting his carrer at Dunfermline in 1997.
The Sun reports that United will face competition from Championship side Preston, and Scottish Premier League side Hibernian for the free scoring target man.