(Adds quotes, details) CONAKRY, Jan 26 (Reuters) - Guinean President Lansana Conte has agreed with unions on powers for a new prime minister, opening the way for a possible settlement to end a crippling general strike, a union leader said on Friday. "He (Conte) has accepted the principle of a Prime Minister who is head of government. We are satisfied. It was the most important point for us," Amadou Diallo, assistant secretary- general of the National Confederation of Guinean Workers (CNTG), told reporters. Diallo said accords still had to be worked out on the strikers' demands for lower fuel and rice prices, but he was confident this could be achieved. "This should go quickly. The strike could be suspended from tomorrow," he said. The announcement followed days of intense negotiations to try to end a nationwide strike against Conte which has paralysed the West African country for 17 days, halting most bauxite shipments from the top exporter of the aluminium ore. At least 60 people were killed in clashes between police and protesters since the strike began on Jan. 10.