Prior to Majavu's appointment as CEO, a resolution had reportedly been adopted by the PSL that the new chief would have to be a black South African, and they were seemingly in short supply as Majavu's appointment was on the back of former CEO Kjetil Siem's extended time in office.
Initially, Siem's contract was due to end in June 2010, but he stayed on until the end of May 2011, while the league continued to search for his replacement.
This time, though, PSL chairman Irvin Khoza says the league will settle for any competent CEO, either black or white.
"It is not for me to make a determination, because the executive committee must decide but it is not about black this or that. For us, let's get the CEO for the PSL," he told Football365.co.za.
"This is South Africa so I don't want to fall foul of Madiba (Nelson Mandela), because this South Africa is for everybody as Madiba say.
"We must stretch our net far and if there is someone internally we will go that route, but if there is nobody internally then we would probably head-hunt. The executive is meeting on Thursday to give a directive."
Currently at the helm is Cambridge Mokanyane, who will act as CEO until Thursday when the executive committee will meet to decide on the way forward, but at this stage Khoza has given no time frame as to when the CEO may be found.
"Well, sometimes it doesn't depend on our wish because if ever it is head-hunting it might be somebody who is employed and if it is a process, it could be about setting out to advertise the position, followed by interviews so we will find out on Thursday which route we are going to take in replacing the CEO," Khoza added.
Football365.co.za learnt on Wednesday morning that former South African Football Association CEO Raymond Hack could be in line to replace Majavu, although South African football's governing body would not confirm or deny those claims.