The Bluebirds are looking forward to joining their Welsh rivals in the top flight after clinching the Championship title with a 1-1 draw at Burnley on Saturday.
However Mackay is reluctant to draw parallels between the two clubs with the Swans now established in the Premier League under Michael Laudrup who has built on the foundations laid by Brendan Rodgers.
Asked whether Swansea were an inspiration to his team, Mackay said: "No, not particularly.
"They've done a fantastic job, have Swansea. I'm very friendly with Brendan Rodgers, who went in there and made a huge impact on that football club, so I know them well, and Michael Laudrup's carried that on.
"Even before that you can look at what Roberto Martinez did there as well.
"For them to get to the Premier League and do what they've done is fantastic but we've got our own story.
"I've been here two years now and we've got our own way of going forward.
"We managed to get to the Carling Cup final last year, we managed to make the play-offs and we tweaked the team again in the summer.
"This year the players have been relentless in their nature of wanting to be promoted and be promoted automatically."