The firm will build eight schools in the region under the Construction West Midlands (CWM) framework.
The first school, Paganel Primary School, involves a £1.5m extension due to be complete in early 2016.
The new single-storey building will create four classrooms with office space and a reception area, with work due to be completed in March 2016.
In addition, Cherry Oak Special Needs School is to be significantly expanded with a £1.8m two-storey extension.
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The new building is to house five extra classrooms, break-out rooms, a platform lift, offices and an ICT suite.
Other features include rendering the building half in white and half in laminated wood, along with a new reception entrance and hard/soft landscaping.
Morgan Sindall is in a consortium arrangement with its sister company Lovell on the multi-contractor CWM framework.
The consortium, known as Community Solutions, had its role on Lot 7 of the framework, which covers major capital projects with a value in excess of £500,000, extended this year.
Richard Fielding, area director at Morgan Sindall, said: "Both schools are undergoing transformations to enhance the learning environment for pupils under the CWM framework.
"The extensions on each school will allow for a higher pupil intake and give the teachers more space."
(LM/CD)
