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.
What is your opinion? Feel free to discuss the article under. You have to comment by using your Facebook profile. Be fair and have respect for other people and opinions!
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.