The council ran a consultation earlier this year where it asked 5, 401 existing customers who receive non-residential support about potential increases.
The operator of the centre, Sheffield International Venues (SIV), has begun a consultation with customers, and said services would "continue as normal" until a decision is made about its future.
"Pubs of Ulster calls on all of those with an interest in the future of the industry, from publicans, business owners and customers, to take the opportunity to shape and improve the industry by responding to theconsultation before it closes on 12 November 2012, " he said.