It says three stores with street access in Belfast, Newry and Craigavon will be able to open following updated guidance from the Stormont Executive.
However, its Derry branch at Foyleside shopping centre in Foyle Street will remain temporarily closed at this time.
It has been shut since the lockdown restrictions were imposed in March due to the Coronavirus outbreak.
Debenhams says it will open a further 50 shops in England from Monday, June 15.
Debenhams collapsed into administration for the second time in a year in April after Coronavirus ramped up the pressures facing the business.
It has struck deals with landlords to keep 120 stores open.