"Renal assistance was suspended (until Monday), when we will again evaluate the need for it," read a statement from the Albert Einstein Hospital.
The 74-year-old was described as "lucid" and "doing well", but "still in intensive care".
Pele had been undergoing hemodialysis, a procedure that involves filtering a patient's blood through an artificial kidney that cleans it before returning it to the body.
Certain local media had been reporting since Thursday night that 'O Rei' (The King) was suffering from septicaemia after not responding to the antibiotics and described his condition as "delicate".
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He was admitted to hospital on Monday, diagnosed with a urinary infection and given intravenous antibiotics.
On Thursday, the hospital said he had been placed in intensive care after his condition became "clinically unstable," causing widespread alarm.
But Pele insisted on social media that he was fine and had simply been moved to another room for more privacy.
"I want to take this opportunity to let you know that I am doing fine," he said in posts to his Facebook and Twitter accounts.
"I was simply relocated to a special room within the hospital for privacy purposes only. While I appreciate all the visitors that came to see me, I really need to continue my treatment and recovery in peace."
Pele initially underwent surgery for kidney stones at the same hospital on November 13.