On multiple occasions this season Sarri has told reporters he is struggling to motivate his squad.
And supporters are beginning to turn against the Chelsea boss as well after defeat to Manchester United in the FA Cup earlier in the campaign.
Chelsea face Slavia Prague in the quarter-finals of the Europa League and could meet Arsenal in the final.
But any defeat would leave Sarri in a precarious position at the club.
Maurizio Sarri is under severe pressure as Chelsea manager (Image: GETTY)
Chelsea star Callum Hudson-Odoi has not played often under Maurizio Sarri (Image: GETTY)
The Sun also claim Wolves boss Nuno Espirito Santo and club legend Frank Lampard are being lined up as potential replacements for the Italian.
Chelsea currently sit sixth in the Premier League, three points behind Arsenal in fourth.
Next up for the Blues is a clash with Cardiff after the international break.
If Sarri is axed whoever is appointed faces the prospect of two transfer windows without being able to make any new signings.
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Maurizio Sarri will rely on Chelsea ace Eden Hazard for the rest of the season (Image: GETTY)