Fabregas reached the milestone in Chelsea's Premier League game against Middlesbrough on Monday, teeing up his fellow Spain global Diego Costa for the opening goal at Stamford Bridge.
Boro, now with one win in 19 league games, will be playing in the Sky Bet Championship next season after a record-equalling fourth demotion from the Premier League.
With the result having all but ensured Middlesbrough's relegation from the Premier League, Conte stood applauding its travelling supporters before embracing its players and staff.
"Don't forget that we are building to try and create a good foundation to support - not only for next season but for many years - Chelsea always staying and fighting to win the Champions League".
"We knew what we had to do, it was a tough game with the pressure - positive pressure - but winning a title is not easy", Fabregas added. We have the possibility to do this on Friday against West Brom.
Antonio Conte's side can become champions with victory against West Bromwich Albion at The Hawthorns on Friday night while Middlesbrough must contemplate a future back in the Championship after they were swept aside on Monday.
While victory at West Brom will deliver the title, Chelsea also have home games against Watford and Sunderland in which to snare the three points they need to make it across the finish line.
23' - GOAL! Chelsea 1-0 Middlesbrough: A cross-field ball into the box from Fabregas finds Costa via a deflection and he slots the ball through the keeper's legs from six yards out to give the hosts the lead.
"I think Tottenham have an advantage, if you compare Tottenham to Chelsea", said the Italian.
"Cesc has improved a lot this season and I'm pleased for him".
"I saw, this season, that he put himself in this team in every moment - if he played or if he didn't play".
"It's great to be in this atmosphere at Stamford Bridge and it's great to hear your fans with this enthusiasm", Conte said after Monday's win. We must have enthusiasm and desire to take this target as we are deserving to win'.
"I think consistency is key in this league and obviously we had that fantastic 13-game winning run that gave us a lot of confidence".