The International Paralympic Committee said the payments, which are vital for funding travel and logistics, must be sent to its members next week.
The IPC is expecting around 160 countries to participate in the Paralympics but fears withdrawals if the cash isn't received.
"Our number one priority is that the first instalment of support grants which the organizing committee should have paid to all participating National Paralympic Committees at the end of July, are paid in the coming week," IPC chief executive Xavier Gonzalez said in a statement.
"We hope by early next week to have a clearer picture of the situation Rio 2016 currently finds itself in and the solutions we are trying to find," Gonzalez said.
The late payments are one of the problems threatening the successful delivery of the Sept. 7-18 Paralympics by the financially-challenged Rio organizers, with sluggish ticket sales also troubling the IPC.
"All week we have been working closely with all parties involved to try and find solutions to the issues the Rio 2016 organizing committee currently has in order to minimize the potential impact on next month's Paralympic Games," Gonzalez said.
Asked about the IPC statement, Rio organizers said: "The ongoing success of the Olympic Games makes us confident of also delivering successful Paralympic Games."
But Rio Games spokesman Mario Andrada acknowledged earlier Saturday that tickets sales are "well below expected" levels.
"We tried a series of measures and it seemed that they were not effective, so we decided to finish and get done with the selling of the Olympic tickets," Andrada said. "As previous games, we rely on the excitement and the energy produced by the Olympic Games in order to positively influence the Paralympic tickets. That has proved to be a correct strategy.
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