Blues head coach Thomas Tuchel has constantly talked up the professionalism of the former club-record signing, who has not always impressed during his spell at Stamford Bridge.
However, as well as heaping praise on the Spain international, Tuchel has also hinted that conversations will be held about the second-choice stopper's future.
As it stands, it is unclear whether the 27-year-old will request to depart the West Londoners this summer, or whether he will be allowed to leave for the right price.
Nevertheless, Chelsea are in a position where they need to consider alternatives, and it appears that they will be looking for value for money.
According to transfer expert Fabrizio Romano, the Premier League giants have taken an interest in soon-to-be free agent Stravosha.
The Albania international has enjoyed a successful stint at Lazio, making a total of 208 appearances during his eight-year period at Stadio Olimpico.
However, the 27-year-old is ready to take on a new challenge this summer, aware that more clubs other than Chelsea are taking an interest in his signature.
Earlier this month, it was claimed that Fulham were closing in on a deal for Strakosha having secured a return to the top flight, but that now appears in doubt with the Cottagers also considering a formal approach for Arsenal's Bernd Leno.
While Strakosha would become first choice should be make the switch to Craven Cottage, he would move to Chelsea aware that Edouard Mendy would retain his role as first choice.
Chelsea are known to be in the market for another goalkeeper with Chicago Fire's Gabriel Slonina said to be on the brink of a transfer.
The 18-year-old has established himself as one of the most highly-regarded prospects in the MLS, making a total of 14 starts this campaign.
Despite Chelsea's well-documented interest in his signature, Romano says that Slonina would remain on loan at his current club if he signs a contract with the English side.
Marcus Bettinelli or Nathan Baxter are in line to be used as third choice at Chelsea next season regardless of the outcome of the various ongoing situations.