The Ulster Volunteer Force has said it intends to review its attitude to the North's peace process and will decide over the next three weeks whether it will remain in contact with Gen John de Chastelain's decommissioning body.
The Progressive Unionist Party, which is linked to the UVF and the Red Hand Commando, outlined the position of the loyalist paramilitary organisation, and complained it had been left out of the political "loop" in recent weeks.
Mr Billy Hutchinson, of the PUP, said the statement was not a threat but an effort by the organisation to see if there were "other ways of actually moving this thing forward".
According to Mr Hutchinson, members of the group were frustrated at the lack of movement from the other political parties and the fact that no recognition had been given to the fact that they have held their ceasefire for five years.
"They have now said they have put it all into review and will decide in three weeks' time whether they continue or whether they will withdraw their support," he added.
"No one, at any time, including the two prime ministers, had any discussions with us about The Way Forward until 20 minutes before they announced it. The same happened at Hillsborough."
Mr Hutchinson called on the British Prime Minister, Mr Blair, to manage the review in a way that would include all the smaller parties which wished to be involved in the process.
Meanwhile, anti-agreement unionists have claimed their stance on the Belfast Agreement has been vindicated by the suspension of the Assembly and the failure to form an executive.
"The unionist electorate can take heart from the fact that our analysis has proved accurate," said a statement from the Northern Ireland Unionist Party.
The spokesman for the Union First group, Mr Peter King, said events in the Assembly amounted to a spectacular failure of policy. "We trust those in government who forced Thursday's farce will not escape reprimand for their tactical blunder."