The Bill is intended to close loopholes which have enabled an estimated 1,500 Charedi boys from 13 to 16 in Hackney to learn in unregulated yeshivot.
If it passed into law, they would be treated as independent schools and forced to teach secular subjects as well as offer relationships and sex education.
Charedi activists have already held a number of demonstrations in central London against the Bill.
Recent media reports have suggested the Bill could be dropped as the new Liz Truss-led government grapples with more pressing issues.
A large chunk of the bill relating to the oversight of academies was already ditched a few weeks ago after criticism in the Lords.
According to one Charedi activist, the Scrap the Schools Bill campaign has brought together “numerous religious groups and concerned home-schooling parents”.
Mr Malthouse is the fourth Education Secretary this year.
