The South Korea international clashed heads with West Brom forward Stephane Sessegnon inside the penalty area in the 44th minute.He was treated for several minutes before being given oxygen and taken off the field.
Swansea later tweeted that Ki "is ok following the clash of heads in the first half, just a little concussed."
Gylfi Sigurdsson put Swansea ahead on 64 with a strike into the bottom-left corner from 12 yards.
But Salomon Rondon leveled two minutes into added time, reacting fastest after Darren Fletcher had a shot cleared off the line.
Milner spot on as Liverpool sink Swansea