  Recently, Ozsv\'ath and Szab\'o introduced some algebraic constructions
computing knot Floer homology in the spirit of bordered Floer homology,
including a family of algebras B(n) and, for a generator of the braid group on
n strands, a certain type of bimodule over B(n). We define analogous bimodules
for singular crossings. Our bimodules are motivated by counting holomorphic
disks in a bordered sutured version of a Heegaard diagram considered previously
by Ozsv\'ath, Stipsicz, and Szab\'o.
