During his time as mayor, Enloe was considered moderate on the issue of race relations. In 1960 he criticized black students who participated in the Greensboro sit-ins in protest of racial segregation at lunch counters, calling it "regrettable that some of our young Negro students would risk endangering [black and white] relations by seeking to change a long-standing custom in a manner that is all but destined to fail." In March he appointed a 15-member biracial committee to negotiate an end to desegregation demonstrations. The following month a white youth protesting segregated lunch counters in Raleigh was assaulted by a passerby. In response, Enloe convened an extraordinary session of the City Council to consider an ordinance that imposed restrictions on picketing, commenting that some demonstrators had been blocking the sidewalks in the downtown. The biracial committee announced the integration of lunch counters in August, prompting the mayor to comment, "I appreciate the spirit of cooperation shown by all concerned and am proud of the acceptance shown by our citizens."