We reported after the season-opening Australian grand prix that current GPDA president Pedro de la Rosa wants to step down.
Speed Week said the Ferrari reserve driver informed his colleagues in Melbourne and scheduled a vote for his successor to take place in Malaysia.
But the same publication now reports that while the matter was put on the table at a meeting at Sepang, the drivers could not find a willing candidate.
The issue will reportedly be back on the agenda this weekend in Bahrain.
Alongside 43-year-old Spaniard de la Rosa, the other GPDA directors at present are Jenson Button and reigning world champion Sebastian Vettel. (GMM)