The Iceland midfielder had agreed a £6.8million transfer (AED39m) - almost doubling their record fee - to sign the player from Hoffenheim after his successful four-month loan spell subject to a medical.
But with Rodgers having swapped the Liberty Stadium for Anfield, Sigurdsson now admits he is unlikely to complete the move to Wales - paving the way for Liverpool to move in.
"It's just unclear at this moment where I will play," he told mbl.is in his homeland.
"I'd like to play on with Swansea since I was really happy there but after Brendan Rodgers left the club for Liverpool, that changed the situation.
"I expect not to stay at Swansea because of the uncertainty going on there as it is not clear who is boss.
"I have said that my desire to continue playing in the Premier League and Liverpool is completely considered.
"Liverpool is a big club that has a glorious history.
"English Premier League is the platform that I want to be and hopefully is that I continue to play in that division."
Sigurdsson made a big impact in his half-season loan spell at Swansea, scoring seven goals and four assists during his five months at the club.
After his move to Anfield, Rodgers admitted he was keen to take the 22-year-old to Merseyside if he became available.
And Sigurdsson admitted he has been in touch with his former manager since Rodgers was installed as Kenny Dalglish's successor.
"I got in touch with Brendan when he was appointed Liverpool manager," he said.
"I wish him congratulations and thanked him for a great time at Swansea."
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