Antonio Conte's side now need just three wins from their final four matches, at home to Middlesbrough, Watford and Sunderland and away at West Brom, to secure their second title in three years.
Fabregas and Willian both came on in the closing stages of the game at Goodison Park, and the Spaniard set up the Brazilian for the second goal of the night as the Blues cruised to a 3-0 win.
Speaking on Sky Sports after the game, Henry said: "That was a win of champions".
A superb second-half strike by Pedro and late goals from Gary Cahill and Willian ended Everton's run of eight successive home wins and had piled the pressure on Spurs, who were playing afterwards.
Chelsea star Eden Hazard knows that when he is compared with Lionel Messi or Cristiano Ronaldo, there is one factor which separates them entirely: goals.
This meant that the task to win the game for Chelsea, maintaining their advantage at the top of the table, would fall on someone else's shoulders.
Yet the defender, who was named in the PFA Premier League team of the year after his outstanding displays this season, appears to have been given the good news the injury won't sideline him.
"I didn't speak with the doctor about his [Luiz's] injury but I don't think it is a serious for him", he said.
It's play like this that unlocks the most stubborn of backlines, and Antonio Conte will be desperate to keep this quality in his side as he prepares for Chelsea's return to the Champions League next season.
"I think we finished a crucial week very well".
"Of course I am disappointed, because it was a great opportunity to reduce the gap".
"We had a lot of patience for the right moment to hit, and we deserved the win".
But when he has done they have all invariably delivered and their manager believes this team spirit has helped take the team to the brink of the title, leading Tottenham by four points with four matches to go. He controlled him, was aggressive, and we stopped one of Chelsea's strengths today.
"We are having a fantastic season, but we must be calm".
After defeats against Manchester United and Crystal Palace raised questions about their ability to get over the finish line, Chelsea have been revitalised by their FA Cup semi-final win over Tottenham.