Poyet is keeping his fingers crossed that the change of management at Swansea will not affect Sunderland's chances of signing Ki.
"I think the important thing is how happy Ki feels when he plays for us," said Poyet.
"How much he is enjoying his football here.
"But, being realistic, he is still under contract to Swansea.
"Now Swansea have changed their manager and who knows whether whoever comes in will want Ki or not want him.
"But if you ask me if he is a player I would like to have here, yes I would."