The Anfield outfit had earmarked the Northern Irishman as a possible replacement for Kenny Dalglish, but the Liberty Stadium side will keep Rodgers for next term.
“We would like to clarify the speculation in the press surrounding our manager Brendan Rodgers,” a statement to Sky Sports reads.
“We would like to confirm that there has been no contact from Liverpool and nothing has changed since our previous statement on the issue.”
Meanwhile, the Swans are on the verge of smashing their transfer record to secure the permanent acquisition of Iceland international Gylfi Sigurdsson.
The star midfielder spent the 2011-12 season on loan at the Welsh side from Hoffenheim, and is set for a medical this week.
“Swansea City can confirm a transfer fee and personal terms have been agreed for Hoffenheim midfielder Gylfi Sigurdsson,” said a statement on the club’s official website.
“A club record offer of £6.8million has been accepted by the German club, and the 22-year-old is expected in Swansea later this week to undergo a medical before the move is confirmed.
“The club are delighted to have agreed terms with both player and club following Sigurdsson’s hugely successful loan spell last season.”
By Gareth McKnight