Talwar, who has been convicted along with her husband Rajesh by a CBI court at Ghaziabad, is out on parole granted by the high court in August.
Her application is likely to come up for hearing before a Division Bench comprising justices Bala Krishna Narayana and A K Mishra on Thursday.
The Noida-based dentist couple was sentenced for life in 2013, five years after their daughter was found murdered -- with her throat slit -- inside their residence.
Following an outcry over shoddy investigation by the Uttar Pradesh Police, the then Chief Minister Mayawati handed over the high-profile double murder case to the CBI.