Students were forced to flee as flames tore through The Cube on Friday.
The National Unions of Students (NUS) has urged the government to audit all cladding that could pose a safety risk.
The government said building owners "must ensure residents are safe".
University of Bolton students were evacuated from the accommodation when the fire broke out at about 20:30 GMT.
About 220 students are set to be re-housed and more than £10,000 has been raised through a crowdfunding appeal to help those who have been affected.
NUS vice-president (welfare) Eva Crossan Jory told BBC Radio 4: "We are aware that there are quite a few student accommodation buildings that have similar cladding.
"We definitely think more need to be done to address the fact that this sort of cladding was allowed to be put on those buildings in the first place. We are very worried.
"Are corners being cut and is students' welfare being put in jeopardy because of costs?"
She added: "We want to see immediate action from government to audit all cladding that could be causing fire-safety issues and remove it immediately if it is likely to exacerbate a fire.
"This should perhaps also take into account buildings that fall below the 18m 'high-rise' definition."
As part of our services, Student Safety UK provide comprehensive support, advice and assistance for students and their families who are coming to the UK to study.
We ensure students receive the safest, comfortable and most appropriate accommodation. We liase with families, landlords and agents and handle any issues arising from matters surrounding accommodation.