The 59-year-old, who is currently still under contract by Napoli despite Carlo Ancelotti’s appointment, has been the long-time front-runner for the Blues role in recent months.
However, the Serie A club’s reluctance to allow Sarri to leave has wreaked havoc with Chelsea’s pre-season plans.
But according to Italian outlet Tuttosport, club officials are working behind the scenes to secure a trio of deals this month.
The publication claims Chelsea are ready to outbid Premier League rivals Manchester City for midfielder Jorginho.
€60m (53m) in the fee being touted for the Napoli star, who featured under Sarri at the San Paulo Stadium for the past three years.
Pep Guardiola’s side have only offered €49m (£43.2m) for the Italy international.
Chelsea are also chasing Juventus duo Gonzalo Higuain and Daniele Rugani.
The Argentinian striker will cost around €60m (£53m), while a €40m (£35m) bid should be enough to capture Rugani.
Juventus are looking to offload key players as Cristiano Ronaldo edges closer to his eagerly anticipated move from Real Madrid.
The Italian outfit look set to sell a host of first team stars to fund the Portuguese star.
Antonio Conte remains in charge of Chelsea at present despite the ongoing confusion surrounding his future.