Contribution of the French society for radiation protection to the current reflections on the possible improvements of the radiological risk management system. Following the invitation from IRPA to comment on the article written by Professor Roger Clarke entitled "Control of Low Level Radiation Exposure: Time for a Change?", the Board of the French Society for Radiation Protection (SFRP) decided to set up a working group on "controllable dose". The latter, which worked from April 1999 to July 2000, consisted of some twenty members representing the stakeholders involved in radiological protection in France: authorities, experts and professionals from nuclear, medical and research fields as well as associative movement. The present article, which has been approved by the Board of SFRP, summarises the findings of the WG presented during the IRPA-10 Congress in May 2000. The WG first examined the current hypothesis on radiological risk and noted their relevance for a practical management of such a risk. Then, a list of the different exposure situations and their associated characteristic was elaborated in a table form, followed by a discussion on the situations when the system of radiological protection fits well, less well or bad, particularly through the implementation of the general principles of radiological protection. The WG finally made proposals to ICRP for an evolution of the system towards a more operational way.