There may be several mechanisms at work in the process of migration or redistribution of alkyl ketene dimers (AKD) on cellulose fiber surfaces during paper sizing and curing. This work is the second part of a continuing investigation of the spreading behavior of AKD on the surfaces of hydrophilic substrates. Paper sheets, single cotton, and cotton lint fibers and smooth cellulose film were used as substrates. These represent samples that have pores, V-shaped grooves, and no capillary structure at all. A very simple and effective testing method for studying the AKD migration behavior through these substrates was designed. AFM was used to study the surface capillary structures of cotton and cotton lint fibers. The results of this study provide hard evidence supporting our finding that capillary structures in the form of either interfiber pores in a paper sheet or V-shaped grooves on the surface of single fibers are essential in order for the spreading of molten AKD on a cellulose substrate to occur. Some preliminary results on the existence and the surface diffusion of an autophobic precursor of AKD are also presented. The results support the conclusion we reached in the first part of this investigation; i.e., the molten AKD wets but does not spread on smooth, capillary-free hydrophilic surfaces such as glass and cellulose. The driving force from interfacial energy alone does not cause spontaneous "flow-like" spreading of molten AKD on these surfaces. This is possibly associated with the formation of an autophobic precursor in front of an AKD droplet. The results in this study do not support the perception that molten AKD forms a single molecular layer on the surface of cellulose fibers by spreading during heat treatment, although the autophobic precursor in front of an AKD droplet could theoretically be of a monolayer thickness and the surface diffusion of this precursor may contribute to the sizing development after heat treatment.