Celtic assistant manager Johan Mjallby revealed earlier on Monday that the midfielder was set to leave the club.
Swansea have reportedly agreed to pay around £5million for the midfielder.
Ki had been linked with a number of other Premier League clubs in recent weeks.
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Being an amiable guy is good for you and Jurgen Klopp is living proof.
Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.