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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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.