Joy and Longfellow won't close right away.
The district is planning to use one or both of the schools to hold students from Washington Elementary after that school is torn down.
In June, the school board announced plans to demolish Washington.
Work should start next summer.
A new school will be built on the same property. To do that, the district plans to buy six homes on nearby Glenn Avenue.
"We will this week probably finish closing on all six of those properties. We have purchased a number of them already, but I'm not certain that all of them have been down to maybe one property left and it'll get closed in the next week or so," said School Board President Doug Batcheller.
The district's timeline has the new Washington grade school opening in 2015, which means students would have to attend class in a different building for two years.