The Scot's future at the Welsh club has been thrown into doubt after Bluebirds owner Vincent Tan placed the club's head of recruitment, Iain Moody, on gardening leave last week.
|4/5||Malky Mackay is 4/5 with BetVictor to be the next manager to leave his post
Mackay was alleged to have been unhappy with the situation and attended a board meeting on Monday to discuss the matter, but the manager's agent, Raymond Sparks, says that the chances of Mackay walking out on the club are non-existent.
When asked if there was a chance Mackay would be quitting, Sparks told BBC Radio: "No, absolutely categorically not. Even now that's not something Malky is contemplating.
"There is absolutely no prospect of Malky resigning from a job that he loves, a job he's ensconced in."
Mackay led Cardiff – who sit 14th in the Premier League table - to the Championship title last season.