Elmander, 29, is out of contract at the end of next month and will almost certainly play his last game for the Trotters on Sunday against Manchester City at the Reebok Stadium.
Sportsmail revealed the Turks were keen to swoop with the striker enjoying his best season since joining Bolton in 2008, scoring 12 goals.
Trotting off: Johan Elmander (left) is poised to join Galatasaray
AndElmander now looks set to join up with new Galatasaray coach Fatih Terim, who identified the Sweden international as a transfer target prior to the announcement of his appointment.
New man: Fatih Terim is looking to strengthen his Galatasaray side
'Galatasaray have announced on their website they have agreed something with Johan,' Coyle said.
'I have spoken to Johan and certainly nothing has been signed. That is not to say it won't be signed, maybe in the next couple of weeks but not before Sunday.
'Do I expect him to leave? In my heart of hearts, yes. These are the things you have to deal with as a manager. I am very comfortable with that.
'I have always felt and always known given the dialogue (chairman) Phil Gartside had with his representative they were probably looking fora new option.
'I personally wish Johan well if and when that comes about because hehas worked ever so hard for me in training each and every day.
'When he has worn that shirt he has given me everything he has got ina number of positions and worked his socks off for the team. He is someone I have a very good relationship with.'
Gala claimed on their website to have reached an 'understanding in principle' with Elmander.
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Source: Daily Mail
Source: Daily Mail