The Croatian winger has been repeatedly linked with Manchester United during this transfer window.
But Blues boss Antonio Conte needs to strengthen his squad.
And Crespo, who made 49 appearances for the Blues, thinks the 28-year-old could move to Stamford Bridge.
He told The Express: “It's possible he joins Chelsea - but he plays on the left and on the left you have Eden Hazard, Perisic and Marcos Alonso.
“Maybe he could come in through the middle or to the right.
“Perisic is a good player but I don't know if Inter wants to sell. I think 'no' but it depends on money. It's always the same. It depends on money.
“If you put a lot of money down, even Inter will sell him, but they don't want to sell him.”
Conte has offloaded a host of fringe players in recent weeks.
Kurt Zouma, Ruben Loftus-Cheek and Nathaniel Chalobah have all been shipped out.
Diego Costa is also expected to depart having been informed he's surplus to requirements.
Crespo says there will be new arrivals in west London before the transfer window shuts.
“He needs signings if he wants to repeat and win the league," Crespo added.
“He did a great job last year but if you want to keep going and win you need to put in two or three pieces.
“Where? It depends on Conte.
“They could do with another striker, for sure. It's true that Alvaro Morata is good but he's a different player to Diego Costa."
