Police forces across Britain have been urged to reveal suspects' nationality and asylum status earlier to stop "two-tier policing" allegations.
Pressure is building to fast-track a review into disclosing the details after it was confirmed that it will not be finished until autumn.
On Tuesday, Home Secretary Yvette Cooper, ex-Justice Secretary David Gauke and Sir Andy Cooke, HM's Chief Inspector of the Constabulary, all demanded greater transparency from the police regarding a suspect's immigration status.
Cooper also confirmed that the Home Office has asked the Law Commission to speed up its review of contempt of court guidance which may enable more details about a suspect's background to be revealed.
The College of Policing is working alongside the Crown Prosecution Service, the Law Commission and the Home Office on the review.
It has said that the report will be conducting a public consultation - and would not be published until later this year.
But Cooke has warned that a decision on when the review is to be published is needed "very quickly" due to the significant public interest amid protests at migrant hotels across the country.
Under current guidelines, it is left to chief constables to decide whether details around nationality and asylum status are shared.
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|Cooper also confirmed that the Home Office asked the Law Commission to speed up its review of contempt of court guidance
The review is examining how to balance greater transparency with other considerations like the risk of prejudicing a trial and preventing public disorder from breaking out.
Cooper said: "We do think the guidance needs to change, and we have also already, about six months ago, we asked the Law Commission to look at this and to accelerate their review around some of the contempt of court issues, that’s about what information can be released when there’s a trial pending.
"It is an operational decision for the police and CPS on an individual case, what and when information can be revealed in a live investigation.
"We do think that the guidance needs to change. The College of Policing is already looking at this, and Home Office officials are working with the College of Policing."
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|Cooke argued that a decision on when the review is to be published is needed 'very quickly' due to the significant public interest
Cooke has vowed that to avoid accusations of two-tier policing, nationality and asylum status of suspects must be published.
He pointed to the May 26 car ramming during Liverpool FC's title parade, where Merseyside Police quickly shared details that the suspect apprehended was a white male.
"Consistency is key," Cooke said. "The National Police Chiefs' Council, Government, the CPS and College of Policing need to come to a decision very quickly.
"The one thing that will attract criticism is if they release the details in some cases but not others - it will fuel allegations of two-tier policing and people will not understand it."
Gauke, who served as Justice Secretary under Theresa May, said that police must show "greater openness" to tackle public distrust in the authorities.
The ex-minister said: “There are obviously risks with that. But if there is a perception of being selective as to when the authorities are open, that is only going to fuel suspicion and conspiracy and so on."
Though he added that the decision should be made by police themselves, rather than having their hands forced by the Government.
A College of Policing spokesman confirmed that it intended to conduct a public consultation "to meets the needs of the wider criminal justice system and the responsibility of police to keep the public safe".