Eriksson has confirmed he is a life-long Liverpool fan and the Swede was surprised when Benitez was axed on Thursday.
Eriksson told The Sun: “I have been a Liverpool fan all of my life. I never mentioned it when I was in charge of England because I didn’t think it was fair.
“I was shocked when I discovered Rafa Benitez had left. Would I want to be the manager of Liverpool? It is every manager’s dream to manage Liverpool.”
He continued: “My father was also a Liverpool supporter and every Saturday we would watch an English match on television. It was the highlight of the week.
“Liverpool matches were televised quite regularly and we would cheer them on. They have always been my team and nothing has changed.
“When I was starting out in coaching I was invited to Liverpool to see how they did things. Joe Fagan was the manager at the time.
“I remember him showing me around Anfield and taking me into their legendary boot room.
“It was such a privilege and an honour for me to be invited in there. I will never forget that moment.
“Liverpool will always hold a special place in my heart.”