Paul Givan has previously warned that his department does not have funding for the scheme, so MLAs would be voting to cut education spending if they support it.
Last month, his department tabled amendments that would have given him power to delay its implementation, but these were rejected by a majority of parties.
On Monday, Democratic Unionist Party leader Gavin Robinson accused Sinn Féin of “reckless irresponsibility” over the proposed legislation.
He branded the bill an “absurdity” when Stormont’s finances were “already overstretched”, but Sinn Féin argued it would give families “much-needed support”.
Robinson added: “This minister is already having to cut his cloth in a way that’s going to be difficult and damaging for families.”
Ulster Unionist leader Jon Burrows said his party would not support the bill, saying that it was “undermining” the executive’s case for asking London for additional funding to solve its budget impasse.
Although the DUP and UUP are set to vote against the bill on Tuesday, Sinn Féin is expected to have enough support from Alliance and SDLP MLAs to ensure the bill passes.
