A total of 36 jobs will be cut by June in the latest round of redundancies at the Zurich museum which only opened in February last year, but Marc Caprez insisted world football's governing body would find a way of making it "sustainable".
"No, the museum is not struggling just to survive," he told AFP just as several sources have claimed that Fifa had already taken the decision to cut their losses and close the museum.
Current president Gianni Infantino inaugurated the museum shortly after being elected to succeed the disgraced Blatter, who was suspended from football for six years over a two million Swiss franc ($2 million/1.8 million euro) payment to then Uefa boss Michel Platini.
Fifa invested 140 million Swiss francs (130.5 million euros, $138.6 million) in the museum, which is spread over three floors and 3000m2.
Since opening it has attracted an average of 11,000 visitors a month, barely half the target of 250,000 visitors per year.
The 36 jobs to be axed will come from the catering service, which museum management now intends to restructure and outsource.
Caprez added: "Fifa set up a Task Force at the end of 2016 in order to fully review operations at the museum and consider a new model aimed at ensuring financial stability and transforming the Fifa World Football Museum into a sustainable investment to the satisfaction of all stakeholders.
"The Task Force is still working and will communicate as soon as the results are clear."