Assemblyman Trevor Lunn urged Sport Minister Gregory Campbell not to renege on promises to bring forward his plans for the site.
In August, Mr Campbell said a decision on the future of a national sports stadium, for Northern Ireland, would be delivered in weeks.
Since then, the issue has been marred by conflicting media reports, with many hinting plans for a mixed-use sporting facility have be ditched.
Most recently, Mr Campbell said a report was ready to be presented to the Stormont Executive.
However, the Cabinet is at a virtual standstill, as ructions between the two biggest parties - the DUP and Sinn Fein - continue over the devolution of policing and justice powers.
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Mr Lunn said Minister Campbell should end the uncertainly, and publish his recommendations, to avoid further 'embarrassment'.
"Gregory Campbell's failure to make a decision on the Maze site has become a real embarrassment," Mr Lunn said.
"This decision can not be delayed any longer - the people of Lisburn deserve to know what is going to happen, instead of being left in limbo.
"I call on the Minister to make a decision on the Maze, now and I would urge him to make the right one. The Maze site offers a once in a lifetime opportunity for Northern Ireland and we simply cannot fail to take this opportunity," the MLA told the Belfast Newsletter.
Since its inception, the notion of a national sports ground situated at the former-Maze Prison has proved divisive.
Unionists have expressed concerns over the linkage of a conflict resolution centre on the site, which they say could become a 'republican shrine'.
The final decision on such a development will rest with the two First Ministers - Peter Robinson and Martin McGuinness.
(PR/JM)
