A bench of Justice DY Chandrachud and Justice MR Shah will hear the petition at 10.30 am.
Reportedly, hundreds of FIR have been filed against Goswami in various states across the country.
Earlier today, Union Information and Broadcasting Minister, Prakash Javadekar, condemned the attack on Republic TV editor-in-chief Arnab Goswami saying that this is "against democracy".
Two persons were arrested on Thursday morning for allegedly attacking Republic TV editor-in-chief Arnab Goswami and his wife Samyabrata Ray in Mumbai.
( With inputs from ANI )