Higuain, 31, has impressed since arriving at Stamford Bridge on loan in January, scoring twice in a 5-0 victory over Huddersfield Town and looking risky even as Chelsea suffered an historic 6-0 defeat against Manchester City at the Etihad Stadium on Sunday.
"If we concede a goal like this to a team like Manchester City or United or Tottenham, then you risk conceding three goals in 10 minutes", Sarri said.
After the game, head coach Sarri praised his side, saying they "played their football" and "played with a good level of confidence".
"It was a massive result for Sarri".
Chelsea FC are now sixth in the Premier League as they look to try and break back into the top four this season.
Chelsea's fixture lists suggests they are not in crisis yet.
"The teams that are at the top of the table now are ones with managers who have been there for more than three years". After all, they are only one point behind fourth-placed United and in a domestic cup final next week.
The Blues have the chance to progress to the quarter-finals, where - as long as they avoid City - the victor should face a favourable draw, with the majority of Premier League sides, including the rest of the Big Six, already eliminated. Before the 6-0 loss to City, Chelsea's last away trip resulted in a 4-0 drubbing by Bournemouth, but Schwarzer argued - based on his experience in the Stamford Bridge changing room - the motivation it is not a player issue.
Chelsea's crunch period comes amid unrest among some fans who have grown frustrated with the team's lack of creativity and the related issue of Sarri disciple Jorginho's minimal impact.
A string of poor results in the recent past against Bournemouth and Manchester City have put Sarri's job at Stamford Bridge under enormous pressure. In doing so, Ramos must be hoping to avoid a sanction, but it could well be too late.
"At times, yeah, it's a challenge for a manager but a manager's job is to manage". However, he has come under fire for criticising his players this season.