The SC bench while hearing Arnab's bail plea expressed concern over state governments targeting some individuals on the basis of ideology and difference of opinion.
Additional Sessions Judge at Alibaug, R G Malashetti said the court would pass the order on the revision application filed by local police on November 12.
The Bombay High Court on Monday refused to grant interim bail to Goswami and two others in the case and had asked them to move to the local court for the relief.
Arnab Goswami moves SC against Bombay HC order refusing interim relief in 2018 suicide abetment case
Goswami, in his plea moved through advocate Nirnimesh Dube, made the Maharashtra government, Mumbai Police, Central government and other respondents in the matter.
A division bench of Justices S S Shinde and M S Karnik said "no case was made out in the present matter for the high court to exercise its extraordinary jurisdiction".
The court is also hearing a revision application filed by Alibaug police challenging the Magistrates court order denying them custody of Goswami.
The Raigad crime branch found Goswami was active on social media using somebody's mobile phone, despite his personal mobile phone having been seized by police.
Goswami is presently lodged in a school in Alibaug which is designated as a COVID-19 centre for the Alibaug jail.
The protest outside Mantralaya (state secretariat) in south Mumbai was held to denoncue the arrest of Goswami in a 2018 abetment to suicide case by the Raigad police.
Mumbai Police arrested Republic TV owner and editor-in-chief, Arnab Goswami, on Wednesday from his residence in Mumbai in the case.