Jessie J‘s singing the blues this week … ’cause LAPD responded to her home after burglars broke in and stole a bunch of jewelry, TMZ has learned.

Law enforcement sources tell TMZ … the singer-songwriter called the cops after she came back to her L.A.-area home earlier this week to discover it had been broken into and ransacked.

We’re told the burglars smashed a back window to gain entry to the house and took off with more than $20k worth of jewelry.

Jessie’s the latest celebrity victim of burglary … with celebs ranging from Tom Hanks and Rita Wilson to Bhad Bhabie falling victim to an uptick in L.A. break-ins in recent months.

We’re told no arrests have been made in the Jessie J burglary … the investigation remains ongoing.