Holloway became an immediate favourite to replace Brendan Rodgers after the Northern Irishman moved to Liverpool, alongside former Barcelona star Michael Laudrup.
However, the Championship side insist that no approach has yet been made by the south Wales outfit and that the 49-year-old is preparing for next season with his current club.
|2/1||Swansea are 2/1 to be relegated next season with Paddy Power|
"As far as we are concerned there is nothing in it. Ian has not spoken to them and it's business as usual.
"He has been busy planning pre-season as normal and we are all looking forward to hopefully going one better and gaining promotion back to the Premier League this season."
The Tangerines narrowly missed out on a return to the Premier League last season, losing out to West Ham in the Championship play-off final.