Surface biofunctionalisation of many biodegradable polymers is one of the used strategies to improve the biological activity of such materials. In this work, the introduction of collagen type I over the surface of a biodegradable polymer (poly lactic acid) processed in the forms of films and fibers leads to an enhancing of the cellular adhesion of human dermal fibroblast when compared to unmodified polymer and biomolecule-physisorbed polymer surface. The change of topography of the material does not affect the cellular adhesion but results in a higher proliferation of the fibroblast cultured over the fibers. Moreover, the difference of topography governs the cellular morphology, i.e. cells adopt a more stretched conformation where cultured over the films while a more elongated with lower area morphology are obtained for the cells grown over the fibers. This study is relevant for designing and modifying different biodegradable polymers for their use as scaffolds for different applications in the field of Tissue Engineering and Regenerative Medicine.