An investigation of a new notion of a transversal in a loop to its subloop is continued in the present article. This notion generalized a well-known notion of a transversal in a group to its subgroup and can be correctly defined only in the case, when some specific condition (condition A) for a loop and its subloop is fulfilled. The connections between transversals in some loop to its subloop and transversals in multiplicative group of this loop to suitable subgroup are studied in this work.