The striker has been at the Keepmoat Stadium since the end of August, scoring four goals in 19 appearances, and an agreement has now been put in place - although a transfer has not yet been completed - ensuring his stay will become a permanent one in January.
"We've secured a deal for Iain Hume," Rovers manager Dean Saunders told the club's official website.
"We've just got to dot the Is and cross the Ts, it's not 100% over the line yet but we've agreed in principle that he's going to stay with us."
