Lawmakers for the ruling Law and Justice party and League of Polish Families as well as the opposition Peasants Party back the resolution, said Szymon Ruman, spokesman for parliamentary speaker Marek Jurek.
However, the proposal currently has the support of only 46 members in the 460-seat parliament, well short of the necessary 231 votes to pass. Ruman said the resolution would likely be voted on sometime after Jan. 1.
Backing from the church in this strongly Catholic country would be crucial for building support for the proposal, but on Wednesday several bishops criticized it, and said parliament should stay out of religious affairs.
"Let parliament deal with passing better laws that we need," Gdansk Archbishop Tadeusz Goclowski said.
"This kind of action, although it may stem from good will, sounds a bit like propaganda," said bishop Tadeusz Pieronk.