The AJ understands that the group, which holds five of the seven seats on the board reserved for practising architects, is keen to either severely reform or kill off the exam completely.
The exam allows students who have not been on courses prescribed by the ARB to join the register through means of an exam. This takes in many students from countries that do not have a reciprocal deal with the ARB.
Currently this costs each student £2,000 to go through the two-day procedure.
Many ARB critics have previously argued that this cost is prohibitively expensive. They also claim that it is beyond the remit of the board as set out in the Architects Act.
Long-term ARB critic Ian Salisbury said: 'The damage is that this is a real disincentive to reciprocal deals with other countries.
'This damages the UK economy as it undermines export trade,' he added.