Epithelial-to-mesenchymal transition (EMT) and maturation of a fibrillar tumor microenvironment play important roles in breast cancer progression. A better understanding of how these events promote cancer cell migration and invasion could help identify new strategies to curb metastasis. The nucleus and Golgi affect migration in a microenvironment-dependent manner. Nucleus size and mechanics influence the ability of a cell to squeeze through confined tumor microenvironments. Golgi positioning determines front-rear polarity necessary for migration. While the roles of individual attributes of nucleus and Golgi in migration are being clarified, how their manifold features are interrelated and work together remains to be understood at a systems level. Here, to elucidate relationships among nucleus and Golgi properties, we quantified twelve morphological and positional properties of these organelles during fibrillar migration of human mammary epithelial cells. Principal component analysis (PCA) reduced the twelve-dimensional space of measured properties to three principal components that capture 75% of the variations in organelle features. Unexpectedly, nucleus and Golgi properties that co-varied in a PCA model built with data from untreated cells were largely similar to co-variations identified using data from TGFβ-treated cells. Thus, while TGFβ-mediated EMT significantly alters gene expression and motile phenotype, it did not significantly affect the relationships among nucleus size, aspect ratio and orientation with migration direction and among Golgi size and nucleus-Golgi separation distance. Indeed, in a combined PCA model incorporating data from untreated and TGFβ-treated cells, scores of individual cells occupy overlapping regions in principal component space, indicating that TGFβ-mediated EMT does not promote a unique "Golgi-nucleus phenotype" during fibrillar migration. These results suggest that migration along spatially-confined fiber-like tracks employs a conserved nucleus-Golgi arrangement that is independent of EMT state.