"FIFA has repeatedly committed to deliver concrete answers on these issues - the compensation fund for migrant workers, and the concept of a migrant workers' centre to be created in Doha - and we will continue to press for these to be delivered," the open letter published on Sunday said.
It was signed by 10 national governing bodies, all members of the UEFA Working Group on Human and Labour Rights, and eight teams that have qualified for the World Cup even after world governing body FIFA wrote to World Cup teams last week urging them to focus on soccer and not get dragged into politics.
Amnesty and other rights groups have led calls for FIFA to compensate migrant workers in Qatar for human rights abuses by setting aside $440million, matching the World Cup prize money.
Australia's soccer team last week spoke out against Qatar's record on human rights and same-sex relationships.
Denmark's players will travel to the World Cup without their families as a protest against Qatar's human rights record, their FA (DBU) said last month.
Qatar has come under intense pressure over its treatment of foreign workers and restrictive social laws, leading many participating teams to raise concerns, although the country has denied claims that workers were exploited.
Sunday's open letter said Qatar had made "significant progress" regarding migrant workers' rights and in providing assurances on the safety of LGBT supporters.
"We also recognise that every country has issues and challenges and we agree with FIFA that diversity is a strength," the letter added.
"However, embracing diversity and tolerance also means supporting human rights. Human rights are universal and they apply everywhere."
Qatar's World Cup organisers did not immediately respond to a request for comment.
