Government-funded school building schemes in Wandsworth would be scrapped by the Conservatives, a shadow minister has admitted.

Speaking at a seminar organised by law firm Winckworth Sherwood, Nick Gibb, Conservative shadow schools minister, admitted some schemes would not be guaranteed.

The cuts could affect Graveney School, Chestnut Grove School and Ernest Bevin College, whose projects have not yet been finalised.

Sadiq Khan, who is running for re-election as Tooting’s Labour MP, said: “Children, parents and teachers at state schools should be worried about this announcement.

“As a father of young children who attend local state schools, I’m very angry at the possibility of them having to face the same sort of cuts in state schooling that I suffered as a locally-educated boy back in the 80s and 90s.

“The headteachers have got some really exciting plans to improve their buildings, and improve their school. Those plans would be thrown in the bin, and the money taken away.”

Mr Gibb admitted there could be cuts to projects under the Government’s Building Schools for the Future (BSF) programme in February.

He was asked by a headteacher whether planned BSF schemes would go ahead even while a Tory government battled to cut the budget deficit.

In reply, he told her that schemes with a financial close would still go ahead, but could not make similar guarantees on those in earlier stages.

Under BSF, Wandsworth was set to receive £300 million to improve the buildings at secondary schools across the borough.

In Tooting alone, £100 million of that money was earmarked for Graveney, Chestnut Grove and Ernest Bevin - but under the Conservatives this is likely to be scrapped.

Mr Gibb went on to describe the school building programme as “hugely wasteful” and suggested that schools could get by with as little as £1 million.