Responding to a question from Hillsong founder and senior pastor Brian Houston on July 9, Mr Morrison said he was passionate about religious freedom.
"Of course we will do what we need to do from a legislative point of view," Mr Morrison said, according to Eternity News.
"But what all that boils down to is the culture in this country.
"It's not the laws that make freedom of religion work, it's the culture that accepts it.
"So I speak about my faith ... because I want everyone in this place to feel comfortable talking about faith in this country. It's not a political agenda, it's who we are," Mr Morrison said.
Federal Attorney-General Christian Porter told Guardian Australia this week that the proposed religious discrimination bill will include a “powerful avenue” for people of faith who face “indirect” unfair treatment.
Mr Porter last week held a workshop for coalition MPs about the bill, with more sessions to follow to explain the legislation to backbenchers.