Scotland left-back Robertson, 26, was asked about seeing out the rest of his career at Liverpool.
He told talkSPORT: "That's my plan.
"Whether I'm good enough at 33 or 34 to continue to do that, we'll wait and see.
"But I don't want to go anywhere, this club is so special to me in a short space or time. My family love it, I love it and I don't want to go anywhere else.
"There's no better team in the world just now than Liverpool and why would any of us want to leave?
"We've got a young squad and we've got to be looking at the next five years to try and add more and more trophies.
"To start with the big two is always good and it gives us the freedom to go and add to it now, because the feeling of being champions is amazing and we don't want it to be a one-off, we want that all the time."