The ornamental design for a portion of an adhesive dispensing module, as shown and described.
FIG. 1 is a front perspective view of a portion of an adhesive dispensing module.
FIG. 2 is a front view of the portion of an adhesive dispensing module; and,
FIG. 3 is a right side view of the portion of an adhesive dispensing module, the left side view being a mirror image thereof.
The evenly-spaced broken lines, immediately adjacent to the portion of an adhesive dispensing module, represent the bounds of the claimed design and the unevenly-spaced broken lines show environmental subject matter; none of elements shown in broken-line form a part of the claimed design.