A nozzle for distributing drilling fluid from a drill bit has a central axis and includes a first end, a second end, and a radially inner surface extending axially from the first end to the second end. The radially inner surface defines a flow passage extending from the first end to the second end. The flow passage has a central axis, an inlet at the first end, an outlet at the second end, a first section extending from the inlet, and a second section extending from the outlet to the first section. In addition, the nozzle includes a side outlet extending radially from the radially outer surface to the radially inner surface. The side outlet extends axially from the second end and is contiguous with the outlet. The second section of the flow passage at least partially overlaps with the side outlet. The first section of the flow passage is curved as viewed in a cross-section of the nozzle taken in a reference plane containing the central axis of the nozzle and bisecting the side outlet. The second section of the flow passage is curved as viewed in the cross-section of the nozzle taken in the reference plane. The second section of the flow passage is configured to direct at least a portion of the drilling fluid flowing through the flow passage toward the side outlet.