The Briton has just signed a new contract extension at McLaren, keeping him at the Woking-based squad until 2027 at the earliest, which he hopes will put him on the path to achieve his world title dream.
But while McLaren has made rapid progress with its car to emerge as a challenger to Red Bull last year, Norris is cautious about expecting too much in the short term.
While he thinks that McLaren has the potential to build on its multiple podium finishing form in 2023, he's equally not getting carried away that it will be in a position soon to launch a full-on title challenge.
"[There were] moments we were close to winning races last year, and a few races we were not miles away from a Red Bull," he said.
"And, when you think of it, it was the most competitive car ever in F1.
"So, with the knowledge of, if you want to win one race, we are the closest we've ever been since I've been here at McLaren and for many, many years. But fighting for a championship is a bigger step.
"If you asked me, 'Do you think you can win races this year?' I'd probably be more inclined to say yes. But to go straight into, 'can you win races and a championship?'
"I think that's another level both for myself because racing at the very top is not something I've necessarily done for a while, but also for the whole team, for everyone here in the factory.
"It's a different level of pressure and excitement for the mechanics."
Source: Autosport