Robertson came close to joining Spurs during the winter transfer window, though Liverpool manager Arne Slot blocked the move.
"There was obviously interest there - there were discussions had with both sets of clubs," Robertson confirmed after Liverpool's FA Cup win at Wolves on Friday night, a game where he scored.
"But the decision was that I wanted to stay. We stayed at Liverpool and that was the decision made."
Off contract in June, Robertson added: "I was never not committed. I've been committed to Liverpool for the last eight and a half or nine years now and I'll be committed until I'm no longer needed.
"That's always been my mindset. This club has given me everything and I've given this club everything.
"It's been a fantastic relationship so hopefully that continues and obviously January happened, but it is now gone. Now we move forward and like I said, my focus never came off trying to help the lads on the pitch and in training."