The site's new owners, City & Country Group, have invited people to share their thoughts on what should happen to the 220-year-old building.
Some 320 inmates were held inside until March 2013 when it closed.
Helen Moore, from City & Country, said they wanted to deliver a new scheme which would play "a significant role in the greater regeneration" of the area.
Previous suggestions for the site, which is in the heart of the city and adjacent to Gloucester Docks, have included housing, a museum and a hotel complex.

If you have a picture you would like to share, please see below the images for details on how to submit yours.
If you have a picture you'd like to share, email us at england@bbc.co.uk, post it on Facebook or tweet it to @BBCEngland. You can also find us on Instagram - use #englandsbigpicture to share an image there.
When emailing pictures, please make sure you include the following information:
Please note that whilst we welcome all your pictures, we are more likely to use those which have been taken in the past week.
If you submit a picture, you do so in accordance with the BBC's Terms and Conditions.
In contributing to England's Big Picture you agree to grant us a royalty-free, non-exclusive licence to publish and otherwise use the material in any way that we want, and in any media worldwide.
It's important to note, however, that you still own the copyright to everything you contribute to England's Big Picture, and that if your image is accepted, we will publish your name alongside.
The BBC cannot guarantee that all pictures will be used and we reserve the right to edit your comments.
At no time should you endanger yourself or others, take any unnecessary risks or infringe any laws collecting any kind of media.

It comes after paediatric pathologist Dr Caroline Gannon resigned over interventions by Mr Larkin on abortion laws surrounding fatal foetal abnormality.
The Foyle MLA said the attorney general was supposed to be above politics.
"Mr Larkin's entitled to his own conscientious beliefs, religious and otherwise," Mr McCann said.
"Mr Larkin is not entitled, it seems to me, to go around the world, into European courts and so forth, expressing points of view which reflect his own moral religious beliefs, but which cannot be represented as the beliefs of the majority of people in the north.
"I think he's gone too far so I think he should leave."
Dr Gannon investigated the deaths of babies including those in the womb or stillbirths.
She said the recent interventions by Mr Larkin made her position untenable.
She said the final straw for her was having to advise a couple to use a picnic cooler bag to return their baby's remains to NI following an abortion in England.
A family can have a post-mortem examination carried out in England - but they are difficult to arrange.
Dr Gannon's resignation leaves Northern Ireland with only one paediatric pathologist.
Both the attorney general and the Department of Justice are involved in legal proceedings which are looking at the current law.
Peter Lynas, from the Evangelical Alliance, said he could see no reason why Mr Larkin has been singled out.
"I don't hear any call for the justice minister to stand down," he said.
"John is upholding the law as he is supposed to do, so I'm not quite sure what the series of offences are. How has he overstepped the mark?
"The attorney general's role is to uphold the law as it is and he is joined in that appeal by the Department of Justice."

Team Sky's Gianni Moscon is facing disciplinary action from Team Sky after it emerged he used racially abusive language towards FDJ's Kevin Reza at the end of Friday's stage three.
Italian Moscon apologised and rode in Sunday's final stage.
"Any complaint will be investigated," the UCI told BBC Sport.
Team Sky chose not to withdraw Moscon from the race following discussions with FDJ. Moscon has apologised to Frenchman Reza and his team-mates but the British team will consider what action to take after establishing all of the facts of the incident.
This content will not work on your device, please check Javascript and cookies are enabled or update your browser
Cells inside the redundant Gloucester Prison have been opened as part of a consultation on its future use.
[NEXT_CONCEPT]
Each day we feature a photograph sent in from across England - the gallery will grow during the week.
[NEXT_CONCEPT]
People before Profit MLA Eamonn McCann has called for Attorney General John Larkin to stand down.
[NEXT_CONCEPT]
Cycling's governing body has warned that any rider found guilty of racism will be sanctioned after an incident during the Tour de Romandie.