The facilities will be closed for safety reasons because of their proximity to the high school's large gymnasium, which is being torn down.
Robbie Lyng, senior project manager for the San Ramon Unified School District, said he does not know specifically which of the courts will be closed but expects it will be the ones closest to the gymnasium.
"Safety is the No. 1 concern," said Lyng. "And we take that very seriously."
There is a possibility all of the courts will need to close, he added. The facilities department will have more information once construction is under way.
In February the school district determined the old gym needed to be demolished since its concrete structure would not withstand a major earthquake. A new one will be built in its place.
Construction will begin this month and be completed in time for the new school year at the end of August, at which point the pool and courts will reopen for student and community use.