The 28-year-old joined the Latics on a season-long loan over the summer, in a deal worth £1million.
He has excelled since moving to the DW Stadium, with a number of assured displays moving him above Chris Kirkland in the first-team pecking order.
Wigan boss Roberto Martinez is now keen to strike a permanent deal in January, having been suitably impressed by the Oman international.
Coyle, though, insists there is no guarantee that an agreement will be reached, as he will be looking to bring in a sizeable fee for a player of Al-Habsi's pedigree.
"The only way they can keep him for good is by paying our club a large transfer fee, if indeed that's acceptable to us," said the Trotters manager.
"Wigan can make as much noise as they want.
"Ultimately I will decided whether Ali Al-Habsi is a Bolton Wanderers goalkeeper or not."