Four more schools in Birmingham have stopped teaching about LGBT rights following complaints by parents.
Leigh Trust said it was suspending the No Outsiders programme until an agreement with parents was reached.
Earlier this month the city's Parkfield Community School suspended the lessons after protests were held.
Campaigner Amir Ahmed said some Muslims felt "victimised" but an LGBT group leader said No Outsiders helped pupils understand it is OK to be different.
In a letter seen by the BBC, Leigh Trust said it was halting the lessons until after Ramadan, which finishes in June.
The schools involved are Leigh Primary School, Alston Primary School, Marlborough Junior and Infants School and Wyndcliff Primary School.
Leigh Trust - which is yet to comment publicly - said it wanted to discuss the programme with parents to find "a positive way" of teaching about the Equalities Act.
Some parents at Parkfield, and the other four schools, claim the classes are inappropriate for young children and the schools' LGBT message contradicts Islam. [BBC] Read more