Benny Gantz and some Likud members have expressed strong opposition to the proposed plan.
The draft, should it pass, would extend the exemption from IDF conscription for haredi (ultra-Orthodox) Jews.
The program lasts four weeks and includes full room and board.
A Jerusalem Post intern at the scene reported witnessing one of the Haredim at the protest blocking a car. The orthodox Jewish man persisted in blocking the vehicle even as it drove forward.
On Tuesday, IDF Chief of Staff Herzi Halevi said that conscription should apply to all members of Israeli society.
"We have a historic opportunity to expand the IDF’s recruitment sources at a time when the necessity is very high," IDF Chief of Staff Herzi Halevi said.
In Israel in recent months, we have witnessed the extraordinary courage and commitment of Israeli youth and reserves to fighting (and dying) for our country.
The survey found that 70% of the ultra-Orthodox have not changed their opinion regarding conscription since the outbreak of the war between Israel and Hamas.
Young Israelis never hesitate to defend their country, and without their courage, Israel would cease to exist.
Something has changed in haredi society since October 7.