Daihatsu Move smoking issue

I have a 99 Daihatsu Move. It has a 660cc turbocharged engine. The problem is that when I turn on the a/c, about a minute later a lot of burnt oil smoke comes out the exhaust. The smoke is so much that it covers the back view of the car. There is no smoke when the car is idling or driving though. I can’t figure out why the smoke only comes when the a/c is on.