On trial since June 2007, Nsengimana is accused of genocide and crimes against humanity committed in Nyanza, southern Rwanda. He has pleaded not guilty.
It is alleged that Nsengimana supervised the killings of ethnic Tutsis at the college, one of the most prestigious in Rwanda.
The prosecutor alleges that Nsengimana led "death squad" made up of employees of the College. The lead counsel for the prosecution, Wallace Kapaya, asked the court to give life jail to the accused in February, this year.
Nsengimana is one of the four catholic priests indicted by the ICTR.
Athanase Seromba, a former vicar in Nyange, in western Rwanda, had his 15 year sentence overturned by the Appeals Court to life jail early this year. Emmanuel Rukundo, a former Military Chaplain was sentenced to 25-years imprisonment in February, this year. Wenceslas Munyeshyaka, a former vicar at the Parish of the Holy Family in Kigali, will be tried in France.
The judgment of Father Nsengimana is among three judgements expected before end of the year.
The other defendants who will also know their fate before 31 December are Lieutenant Colonels Ephrem Setako and Tharcisse Muvunyi. The exact dates of the judgments are yet to be known.
© Hirondelle News Agency