The centre, in the Church of Christ Hall, Prince Albert Rd, was set up by the Dunedin City Council to help people in the area badly affected by the flooding.
DCC recovery manager Simon Pickford said with the number of visitors to the centre down to a mere handful a day, it was not viable to keep it open.
Help was still available for people in badly damaged homes or otherwise needing assistence.
''We really encourage anyone who still has questions or issues to ring us on (03) 477-4000 and we can help them get the advice and support they need.''
A street appeal for flood victims will be held on Friday, from noon to 6pm.
Mr Pickford said collectors in high-visibility vests with DCC labels would be scattered around Dunedin.
The money raised would complement the nationwide Dunedin Flood Appeal launched last week.