The South Korean international scored and set up another goal in the Black Cats' 4-1 thrashing of Fulham at Craven Cottage on Saturday.
After Adam Johnson scored the opener - his first of three for the match - he soon turned provider when his low free-kick, through a Philippe Senderos deflection, found the feet of Ki who subsequently fired home from close range.
Steve Sidwell pulled one back for the Cottagers early in the second period, only for his efforts to be dampened twenty minutes from time, with Ki and Johnson again combining to restore Sunderland's two-goal cushion.
With Fulham over-committing in search of an equalizer, Ki was given ample room in the opposition half and his surging run ended with an inch-perfect pass to the oncoming Johnson who slotted past Fulham keeper David Stockdale.
Swansea manager Michael Laudrup was thought to be interested in recalling Ki from his season-long loan with the Black Cats due to a midfield injury crisis in South Wales.
However, with those fears now calmed for Sunderland boss Gus Poyet, the Uruguayan spoke to Sky Sports about the possibility of a permanent move for Ki.
"There is a chance (of a full transfer)," said Poyet. "Swansea had an opportunity to call him back, and they didn't.
"I think there are a couple of things we need to make sure: where we are and where we want to go, and with the player as well. I can see that he's enjoying his football and making a difference."
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