The Centre had filed the plea in 2014.
A bench headed by Justice Ranjan Gogoi considered the submission of Prabu Ramasubramaniam, the counsel for convict A G Perarivalan, that the case be heard as the convicts are in jail for the last two decades.
The lawyer said the matter had been listed quite a few times in the past, but it got deleted from the list.
Besides Perarivalan, six other persons--Murugan, Shantan, Robert Pais, Nalini, Jayakumar and Ravichandran--were convicted in the case.
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The apex court had held that the state government cannot unilaterally determine remission of sentences in cases where the probe had been conducted by central government agencies.
The Constitution Bench, however, had said the issue -- whether convicts in the Rajiv Gandhi assassination case can be granted remission or not -- would be handled by a three-judge bench.
Out of the seven convicts, Nalini was awarded death sentence, which was later commuted to life imprisonment by the state government.
Three others, including her husband Murugan (Sriharan), were sentenced to death and the rest were given life term by the Supreme Court for their role in Gandhi's assassination on May 21, 1991 at Sriperumbudur.
The apex court had later commuted the death sentence of the other three on the grounds of inordinate delay in disposal of their mercy petitions.