The struggling department chain entered into administration last year, after rescue talks with JD Sports fell through.
Business is now being wound down at all remaining stores, including those in Wakefield and Leeds.
After reopening for a final closing down sale, the two Debenhams branches will both close their doors for good on Saturday, May 8.
It comes almost exactly a decade after the Wakefield store was first opened on Friday, May 6, 2011, as part of the new Trinity Walk shopping centre.
No plans for the unit have yet been confirmed.
Across the UK, it is understood that around 12,000 jobs are in danger as a result of the collapse of Debenhams.
Online retailer Boohoo later purchased the 243-year-old store in a £55m deal, but confirmed it did not plan to maintain a high street presence, and would sell online only.