The 29-year-old Swede, who was Wanderers' record signing when they bought him from Toulouse in 2008 for £8.2million, is out of contract in the summer and Coyle does not expect the striker to sign a new deal before then.
Coyle insisted on Friday he is not unhappy with the situation, saying: "The chairman had a chat with Johan's representative in November/December time and it was a good discussion. I think at that time it was left that they would have a chat in spring, and that was fine because that told me Johan didn't want to leave in January."
He added: "Johan's well within his own rights to let his contract run to the summer, which will happen, and then decide what he wants to do.
"But I know the chairman is looking to speak to his representative in the next couple of weeks and we'll see what comes of that.
"Johan's been very up front and honest so I've got absolutely no problem with that. He's a top lad and a terrific player and I would love to keep him at the football club.
"But, equally, I have to be understanding and, if Johan wants something further down the line for himself or his family, then so be it."