The matter is being described as a matter of "life or death".
A draft proposal from the Oireachtas Education Committee recommends all schools having to teach the new programme - regardless of their beliefs.
Director of LGBT advocacy group BeLong To, Moninne Griffith, says students feel excluded at the moment.
"Addressing homophobic bullying, making schools safe and supportive is really a health matter."
"It should be a priority for schools and for parents, this is really a matter of life or death to make our schools safe and supportive so that LGBT young people aren't self-harming or experiencing suicide ideation because they don't feel like they belong in schools."
Under the plans, schoolkids would be taught about LGBT relationships, without distinction to their heterosexual counterparts.