Rodgers' move to Anfield was confirmed on Friday after a compensation package was agreed between the two clubs.
When asked about the agreement at his press conference, Rodgers did not confirm or deny that was indeed the case.
He said: "The only thing I want to say about Swansea and Wales is my deepest gratitude and thanks for everything they've done. It was a real special two years at Swansea City for me, we created history, we became the first Welsh team into the Barclays Premier League.
"It's a sad day to leave Swansea of course because I have so many friends there, what we created has been incredible really and I have huge respect for them as a football club. The only thing I want to talk about Swansea is to give them thanks to the club and to the nation of Wales, as my time there with the media and the people has been incredible."
When further questioned on the subject of not signing any Swansea players over the next year, Rodgers added: "I've got a real good relationship with Huw Jenkins and he and I will continue to be good friends and we'll speak accordingly and wherever the players come from that will remain to be seen."