The top court sought a report in four weeks from the panel of doctors constituted by the AIIMS director after Kumar sought an urgent listing of his bail plea on health grounds.
Earlier Sajjan Kumar had moved the top court challenging the conviction and award of life imprisonment by the high court.
The bench said the plea would be heard in May 2020 during the summer vacation by a vacation bench.
1984 anti-Sikh riot: SC to hear in May ex-Congressman Sajjan Kumar's plea for suspension of sentence
A bench comprising Justices S A Bobde and B R Gavai said that it is not an "ordinary case" and requires hearing before passing any order.
1984 anti-Sikh riots: Ex-Cong leader Sajjan Kumar moves HC seeking time till January 31 to surrender
Advocate Anil Sharma, representing Kumar, said they need some more time to file an appeal before the Supreme Court challenging the high court's verdict.
Anti-Sikh riots accused Sajjan Kumar, Jagdish Tytler asked not to sit on main dais at Congress fast against communalism
While a Congress leader said on anonymity that Tytler and Kumar were asked not to sit on the stage, the party's chief spokesperson Randeep Surjewala said the BJP was seeking to create a controversy.
According to court sources, Kaur told the court that she saw Congress leader Sajjan Kumar instigate a mob in the national capital's Sultanpuri area in 1984.
Earlier on July 19, the Delhi High Court heard Kumar's plea seeking cancellation of the anticipatory bail granted by the trial court related to killing of three Sikhs in West Delhi during the riots.
The Punjab Police have received alerts that Congress leaders Sajjan Kumar and Jagdish Tytler and six other leaders are on the hit-list of Sikh radicals and face assassination threat.
According to sources, the former prime minister and Sajjan Kumar, along with several other leaders, attended a meeting of the newly-constituted Delhi state unit.