Construction companies and local authorities are set out to find out next week about cuts to the £55m Building Schools for the Future programme.
Leader of the Commons Sir George Young said a statement was “likely” next week.
He was responding to a question by Wolverhampton MP Emma Reynolds, who said that local authorities needed to be clear about government plans for the programme.
The Department for Education, which has been reviewing BSF, later said that an announcement was likely, “but not certain”.
Since BSF got under way in 2004, around 150 schools have received investment via the programme.
One third of all England's secondary schools are now involved with the scheme, with hundreds more in the planning phase.
The Conservatives criticised the programme for being poor value-for-money when in opposition, and a report by the Commons public accounts committee last year described BSF as “over-optimistic and poorly-planned”.
A statement from the Department for Education two weeks ago said: “The department is reviewing BSF to ensure that when we build schools for the future, we do so in a more cost-effective and efficient fashion.”