Dalit organisations across the country protested against the judgment in the first week of April. The ensuing violence resulted in the loss of nine lives.
The SC also turned down government's review petition in the case.
Opposition parties and NDA allies have since been urging government to bring in statutory changes through parliamentary amendments.
NDA MPs which met at LJP chief and union minister Ram Vilas Paswan's residence this week also expressed reservations over appointment of Jutice AK Goel as the chairman of National Green Tribunal.
A two-member bench of Justice Goel and Justice UU Lalit had in March this year delivered the verdict on SC/ST Prevention of Atrocities Act.
BJP MP Udit Raj also raised this issue in the Lok Sabha earlier this week.