Associations gathering the families of Serbs who went missing or were killed in the 1990s war have been urging the establishment of such a commission for months. They claim that more than 5,000 Serbs went missing or were killed in the Bosnian capital during the war.
A request for an investigation into war crimes against members of all ethnic groups in Sarajevo was supported by both parliamentary chambers in January.
But the chairman of the Council of Ministers, Adnan Terzic, said last week that such a commission would not be set up during his term in office.
Terzic accused NGOs and politicians from the Serb entity of trying to forcibly establish an equivalent to the commission which investigated the July 1995 massacre in Srebrenica.
"If a commission is to be formed, it should cover the entire Bosnia-Herzegovina," Terzic said, adding that investigations of war crimes must not be limited to a territory or ethnic group.
After a meeting with the families of people from the Serb entity who went missing or were killed, Spiric said that he would call on Serb deputies at the next plenary session of the parliament this week to walk out of the session in protest at Terzic's position.
Spiric is a member of the Party of Independent Social Democrats of Republika Srpska Prime Minister Milorad Dodik, who also attended the meeting.
Deputies of the Serb Democratic Party previously announced that they would boycott the work of the state parliament.