At the beginning of next month, board members will consider the management's plans for the move and almost certainly give them the go-ahead to carry out further investigation.
The LGMB's need to relocate itself to one site has been of paramount importance since it was formed from the merger of the Local Government Training Board and the Local Authority Conditions and Service Board in 1991.
The board's management believe that the current state of the London property market, particularly with the low rents available on many buildings, offers an opportunity to move which may not be available on a permanent basis.
'One of the areas that the associations have a particular interest in - and on which we work very closely with them - is the pay area,' said Ms Hunt. 'That could be one of the issues they may want to look at again.'
The move itself will depend greatly on the financial situation regarding the leases it currently holds. Ms Hunt said that professional advice would be sought and presented to board members on the 3 February.
Commenting on when the move was likely to happen, Ms Hunt said: 'The shorter the time-scale, the better. In the nature of these things, it is bound to take six months to a year.'
At present, no compulsory redundancies are envisaged, although there should be room for a 'slight reduction in numbers' as a result of the move.