The draft text, seen by Reuters, also calls for an immediate halt to the fighting and for de-escalation in and around the city and the withdrawal of all fighters that threaten the safety and security of civilians.
Britain has asked for the draft to be voted on by the 15-member council on Thursday afternoon. A resolution needs at least nine votes in favour and no vetoes by Russia, China, the United States, Britain or France to be adopted.
War erupted in Sudan in April last year between the Sudanese Army and the Rapid Support Forces, creating the world's largest displacement crisis.
Al-Fashir is the last major city in the vast, western Darfur region not under the control of the RSF. The RSF and its allies swept through four other Darfur state capitals last year and were blamed for a campaign of ethnically driven killings against non-Arab groups and other abuses in West Darfur.
--Reuters--