Since being appointed as the Blues' new coach last summer, Conte has steered Chelsea to top of the Premier League standings - 10 points clear of second-placed Tottenham.
The west London club are now on course to win the title they last secured in 2015 under Jose Mourinho, and Fabregas admits Chelsea's fine form this season is down to the mentality Conte has brought with him to the club.
"He’s very demanding in that he wants to win," Fabregas told Chelsea's official website.
"He puts the word ‘win’ in our brain nearly every day – win, win win. Improve, improve, improve.
"That’s a mentality we have to follow. That’s very important. In football you can be the best in the world, you can play with the best in the world, you can have played 1000 games or scored 1000 goals, but the most beautiful thing about football is that you can always improve."
He added: "You are doing what you love. Obviously there are hard moments. Not everything is fantastic. You have to be ready for that, but there is something about the ups and downs football gives you that is the reason why we love this sport so much.
"Even the difficult moments make you stronger and better. To always have the mental strength to overcome them is fantastic, and to be on top of the game for so many years, since a very young age, makes me proud."