The Dane has been linked with a move away from Anfield but seems to be focussed on a future at Anfield.
Agger's future has been under the spotlight for much of the summer. He has been linked with several clubs in the past year including Barcelona, Manchester City and Napoli.
There were suggestions that Agger was unhappy at Anfield given the competition that was coming his way from Mamadou Sakho - after the French defender signed from PSG for around £15 million last summer.
The Dane is quoted in the Liverpool Echo, saying: “If the time is right and everything falls into place then I wouldn’t rule it out. But the timing has to be right.
“I have thought about it. A lot actually.
“But I’m here now and that is what I’m focused on.
“As for the rumours, don’t believe everything you hear. My restaurants were sold four years ago and I’ll be surprised and very sad if anyone has put my house up for sale.”
There have been suggestions that Liverpool would be willing to let Agger go if an offer of around £12 million came in for the Dane. But if the comments from Brendan Rodgers are anything to go by after last night's defeat to Brondby, he would rather he was at the club than not.
He's quoted by the Liverpool website, saying: "Daniel is one of a number of excellent players that we have playing at the back. He has been unfortunate in the time that I've been at the club because the big issue for Dan has been his availability.
"He's at a good age, 29, and his experience can be good for us this season. He signed a new contract last season. He has just been unfortunate with injuries."
However, 29 is also a good age for him to be sold for a decent fee if there is a club willing to meet the asking price, and his injury record could make a club more willing to sell.
Though Agger remains focussed, and Brendan Rodgers rates him as a footballer, the Dane's future still remains far from certain.