The election will be between the two top vote-getters from the May election. Final unofficial results show Dana Wilcott and James Weaver as the top vote-getters, with 608 and 346 votes respectively to Marcus Coleman's 344.
However, council must still canvass the results May 16 before they are official, after which the candidates for the runoff will be confirmed.
Early voting for the runoff will take place from May 30-June 6, and election day is June 10.
A city announcement states there will be just one voting location for the runoff: the Williamson County Hutto Annex at 321 Ed Schmidt Blvd., Hutto.