The Open Rights Group has called for broadband providers to make public any court orders for websites to be blocked.
Jim Killock, Executive Director at the lobby group, claimed that service providers are "often reluctant" to reveal which sites they must restrict access to - fearing this could be deemed a "provocative" step.
This is despite the fact the orders are public documents, he claimed.
As reported by ISPreview.co.uk, the Open Rights Group has applied to the High Court for a ruling requiring broadband providers to release such information.
At present, rules governing access to court documents only permit access to such orders as of right once the litigation has finished.
"We think court orders ought normally to be easily accessible to the public at all stages of litigation," Mr Killock stated.
"The courts seem to be treating blocking injunctions as if they were like temporary injunctions made while proceedings are still going on."
However, he said the injunctions are "the end of the section 97A process", explaining that nothing more is intended to happen after this point.