The Tribunal has fixed 6 December to hear the matter, he said.
So far, depositions of 40 witnesses among 60 have been recorded in the case.
On 15 Sep, charges were framed against 25 accused in the murder case.
Abrar, 21, a second-year student of electrical and electronic engineering, was beaten to death reportedly by then Bangladesh Chhatra League leaders at Sher-e-Bangla Hall of the university.
He was found dead on the staircase of the hall in the early hours of 7 October after he was taken to room No-2011 around 8:00pm on 6 October and beaten mercilessly.
His murder sparked nationwide outcry. On 13 November, the Detective Branch (DB) of Dhaka Metropolitan Police (DMP) submitted a charge sheet before the court. On 18 November last, the court accepted the chargesheet against 25 accused.
On 13 January, the case was shifted to the Dhaka metropolitan sessions judge's court from Dhaka additional chief metropolitan magistrate court.
On 12 March this year, Abrar murder case was shifted to Dhaka Speedy Trial Tribunal-1 after his parents met the law linister and urged to shift the case to a Speedy Trial Tribunal.