In frame theory literature, there are several generalizations of frame, K-fusion frame presents a flavour of one such generalization, basically it is an intertwined replica of K-frame and fusion frame. K-fusion frames come naturally, having significant applications, when one needs to reconstruct functions (signals) from a large data in the range of a bounded linear operator. Motivated by the concept of weaving frames, in this paper we study wovenness of K-fusion frames. This article presents characterizations of weaving K-fusion frames. Paley-Wiener type perturbations and conditions on erasure of frame components are discussed to examine wovenness.