Adoption in Hungary, a European Union member state, by gay and lesbian couples was possible until late 2020 if one partner applied as a single person.
Under the law passed by Orban's right-wing Fidesz party in 2020, single people had to have their adoption requests approved by the family affairs minister, which has amounted to an effective ban.
Magyar ousted Orban after 16 years in a landslide election win in April.
Changing the system of adoption would be a significant measure to restore LGBTQ rights.
"We can state unequivocally that we will change this system: it should not be the minister, a politician ... who makes the decision in such cases, but rather professionals capable of determining the conditions under which a given young child can achieve ... a life that allows them to become a happy and harmonious member of society," Magyar said.
Orban, who cast himself as a defender of what he called Christian values from Western liberalism, passed laws ending the change of gender in personal documents, effectively halting adoption by same-sex couples and banning materials in schools seen as promoting homosexuality or gender transition.
The erosion of LGBTQI rights had a traumatic effect on the community.
Orban's government violated European law with rules prohibiting or restricting access to LGBTQI content, which stigmatise and marginalise gay and trans people, the European Court of Justice ruled in April, just before the election.
Hungary has never allowed gay marriage but still recognises civil unions.
