A statement from Swansea City chairman Huw Jenkins:
"I was contacted by Liverpool last night and they expressed their wish to speak to Brendan regarding their vacancy.
"I had a discussion with Brendan to talk about their interest and his views on whether he wanted to speak to Liverpool.
"He expressed his wish with me to do that and he has spoken to Liverpool today.
"Following on from discussions with Liverpool's owners, Brendan has informed us that he would like to take up their offer to manage Liverpool.
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"At the moment we are currently in talks with the owners to agree compensation.
"We are trying to finalise that within the next 24 hours.
"Although we are very disappointed to lose such a talented, young British manager, we didn't wish to stand in his way.
"As always at Swansea City, we want people working here who are fully committed to the task ahead.
"We wish Brendan every success in the future.
"We will always remain good friends and we thank him for all his hard work and passion at this football club over the past two years.
"We shall now refocus and quickly start the process of finding his replacement to continue the great work Brendan has carried out at this football club."