"There's lots of tough young players out there," he told BBC Sport. "Yes, I think I'm up there with the best but I hope people will eventually take away the word 'young' because that would mean I've moved up another level.
"I think to get to their (Ronaldo and Messi) level I have to work extremely hard. Those players are on another planet because they score two or three goals every game.
"I hope to be like them one day and it's up to me to find ways to score, just like they do, every game."
Hazard is enjoying working under Mourinho and hopes to keep up the hard work at Stamford Bridge to reach the standards Ronaldo and Messi have achieved.
He said: "He's made me focus on my work ethic even more. He aspires for one thing - that I become like them one day. It's time for me to work hard together with the coach and the club to achieve that objective.
"Results have been going well so he is happy and perhaps a little more relaxed. I think as long as we're all working hard, he's happy. And the most important thing is to make him feel happy."