Built 12 years ago, the facility for the University of Southampton was never finished because of ballooning costs - a situation which ended up being investigated by the National Audit Office.
Now the NOC wants to finally complete the centre and build the footbridge which was featured in the original plans.
Dubbed the 'missing link' project, the bridge will link the existing building to the Ocean Village marina via a currently unused and unnecessary fourth-floor reception.
The winning architects will also have to remodel this new upper-storey entrance to the centre.
It is hoped work can begin on the scheme next February.
The deadline for submissions is 23 October. More information can be found at www.ted.europa.eu(OJEU number 2006/S 182-193627).