The district says Board President Michael DeBell contacted Banda Sunday night, and he expressed his willingness to take the job.
The Seattle School Board is expected to name Banda in a vote Wednesday and to vote May 16 on a contract starting July 1.
He would replace Maria Goodloe-Johnson who was ousted last year in a financial scandal.
Two other superintendents who interviewed withdrew: Steven Enoch of San Ramon Valley, near San Francisco, and Sandra Husk of Salem-Keizer, Ore.
Banda has been superintendent the past four years at the Anaheim district, which has 20,000 students.
The Seattle district is the largest in Washington with more than 47000 students.
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