The fire occurred along the 1400 block of South Bascom Avenue.
The fire began at 1:15 p.m.
No injuries were reported.
As of 4:30 p.m., the fire was under control.
Flames and thick, black plumes of smoke were seen shooting up from the roof of the mall.
Residents were asked to avoid the area between Stokes Avenue and Southwest Expressway.
Fire crews will be staying on scene Wednesday evening in case of flare ups.
The cause of the fire is still being investigated.
TRAFFIC ADVISORY: Crews are working a 2 alarm structure fire on the 1400 block of S Bascom Avenue. Please avoid the area between roughly Stokes Ave. to Southwest Expy.— San Jose Fire Dept. (@SJFD) May 20, 2020