A decision on whether explosive phone taps involving crown prosecutor Margaret Cunneen are made public could be taken as early as Monday amid moves by Labor members of a parliamentary committee to push for their release.

The secret recording by the Australian Crime Commission captures Ms Cunneen telling a tow truck driver she had sent a message to her son's girlfriend, who had been drinking alcohol, "to start having chest pains" after a car accident to delay a breath test.

It also reveals Ms Cunneen expressed the hope that the delay would mean an ambulance would be called and the woman, Sophia Tilley, would record a blood alcohol reading of zero once tested.

The recording prompted the Independent Commission Against Corruption to launch an investigation – later abandoned – into whether Ms Cunneen had tried to pervert the course of justice.