Collection of biological fluids. At least some of the example embodiments are polymeric sleeves including: an elongate body that defines a first end, a second end opposite the first end, and a longitudinal central axis; a main passageway through the elongate body along the central axis, the main passageway extends from the first end to the second end, and the main passageway having a first aperture on the first end and a second aperture on the second end; a first member suspended over the first aperture on the first end, the first member having a first initial passageway substantially aligned with the main passageway; and a first plurality of stanchion portions that extend between the first member and the first end.