The Stamford Bridge side will clinch the title with two games to go if they beat West Brom on Friday, but Conte is adamant it was by no means an easy season for Chelsea.
Chelsea is a win away from the Premier League title, while Middlesbrough has officially been relegated after a 3-0 result at Stamford Bridge on Monday.
They moved seven points clear of second-place Tottenham, and all but consigned Middlesbrough to relegation. Nemanja Matic then produced a second-half strike to rule out any remote chance of a shock comeback to preserve Boro's Premier League status for at least another weekend.
Next it's West Brom and we have to try to win the league on Friday.
It suggests that the Blues have plenty of room for greater squad rotation to cope with the heavier demands of next season.
And, there are very few teams that can stop Chelsea in the form they showed against Middlesbrough...
"The most important thing at this time is the football club - it's a magnificent club". Sir Alex Ferguson's last game in charge of Manchester United was away at The Hawthorns, and Albion supporters were spotted selling their tickets to the United faithful for over £1000 per ticket.
Conte arrived after Chelsea had seen a title defence evaporate under Jose Mourinho, who was sacked before the Blues recovered to finish 10th.
"He went through what the position was all about, constantly talking to me in training to make sure I was improving in it".
'We are very close, but we need another step to become champions of the Premier League, which would be a fantastic achievement for us'. He he didn't play a lot at the start.
Consider that promising and exciting players such as Michy Batshuayi, Kurt Zouma and Nathan Ake are amongst those to have played less than 1000 minutes, things appear to be even rosier.
"It's great for me, it's great for my players and it's great for the club to see this atmosphere".
Fabregas said he is "proud" of his personal contribution in Chelsea's success through the season. "The chairman Steve Gibson and those fans, they deserve Premier League football".
It's not quite as heartbreaking as the moment when Geoff Shreeves old Branislav Ivanovic that he would be missing the Champions League final, but it definitely gave us a laugh.
"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.style="text-align: center;"