The ornamental design for a portion of a fabricconditioning article, as shown and described.
FIG. 1 is an isometric view the portion of a fabric conditioning article, embodying the new design;
FIG. 2 is a top view thereof;
FIG. 3 is a left view thereof;
FIG. 4 is a front view thereof;
FIG. 5 is a back view thereof; and,
FIG. 6 is a right view thereof.
The broken lines immediately adjacent the shaded areas represent the bounds of the claim and all other broken lines are for illustrative purposes only. None of the broken lines form a part of the claimed design.