The two routes remain concurrent as they snake to the northwest through Tompkins County. Southwest of the city of Ithaca in the town of Ithaca, NY 34 and NY 96 meet NY 13. The three routes continue northeast through the town, intersecting NY 327 and NY 13A before crossing over the inlet of Cayuga Lake and entering the city of Ithaca on Meadow Street. Here, NY 96B reconnects to its parent at the junction of Clinton and Meadow Streets. North of this point, Meadow Street splits into a one-way couplet, with Fulton Street carrying southbound traffic and Meadow Street handling northbound traffic. NY 79, also routed on a one-way couplet here, crosses NY 96 at Green and Seneca Streets, with NY 79 eastbound using one block of Fulton Street to travel from State Street to Green Street.