Sarri's Blues side have dominated the recent meetings between the teams, having lost just one out of the nine top-flight games between the sides. It wasn't as easy as they expected but still managed to qualify to the next round.
But delve a little further and it's apparent that against weaker teams Chelsea really are dominant at Stamford Bridge.
Sarri pulled Higuain in favour of Olivier Giroud for the game's closing 20 minutes - a move that clearly upset the Argentine - but Burnley, who were also in search of points in their quest to ensure Premier League survival, dug in and Chelsea could still find no way through.
Sarri said: "At the moment we can not choose".
Burnley did however win the last Premier League game played against Chelsea at Stamford Bridge, which took place in August 2017.
You've got to hand it to Burnley.
"That's the only title we can win now, so it would be great to win the Europa League".
Yet going into Monday night's game at Chelsea the Clarets are nearly certain to avoid the drop, sitting 15th in the table, eight points - effectively nine given their superior goal difference - above the relegation zone.
Burnley head to the Bridge with their Premier League safety nearly secured and Clarets boss Sean Dyche is intrigued to see how teenage winger Dwight O'Neil copes with his growing reputation.
And with just three or four matches remaining for all sides this season, every single point is of the utmost importance. It is a game of two halves and we need to learn to play the intensity of the first half in the second half. He is playing because he is very useful for us, like in 70 minutes against Slavia.
With the first section labelled "basically, free money" for the picks I think are dead certs. "You are allowed to defend it out - it's part of the game". With Chris Wood and Ashley Barnes in the forward line, the Clarets can frustrate the gentle defence of Chelsea which struggles to deal with long balls.
Spurs missed out on a Champions League spot in 2012 despite finishing fourth after sixth-placed Chelsea won the Champions League.
The brilliant Belgian has been in superb form this season scoring 16 league goals in total. His team have won six of their last eight matches, only tasting defeat twice since Manchester United knocked them out of the FA Cup. That was Burnley's only win in ten matches against Chelsea over the years (1-6-3). We know it's going to be a great battle, a really tough battle.
After progressing to the last four of the Europa League, Chelsea will have all-embracing confidence to enter into the next game.