Both Yavneh and JCoSS have applied to the Department for Education for funding to support more permanent expansion.
JCoSS offered bulge classes in 2017 and 2018, while Yavneh last did so in 2016.
A spokeswoman for Pajes said it was delighted by Yavneh's move, which would " help ease the waiting lists across all the schools in North- West London".
It was the fourth year that Pajes had "helped ensure sufficient school places" in discussions with schools and "a testament to the dedication of our schools that they have made such efforts to accommodate as many children as possible", she said.
Research done by the Institute for Jewish Policy Research showed the need,for additional provision, she said. "As a result, we have approached the DfE with options of either building a new school or expanding the current provision. We are hopeful that they will approve one these options shortly."