Nanoscrolls, radial superlattices formed by rolling up a nanomembrane, exhibit distinct electronic and magneto-transport properties compared to their flat counterparts. In this study, we theoretically demonstrate that the conductance can be precisely enhanced N times by rolling up graphene into an N[jls-end-space/]-turn nanoscroll and applying a longitudinal magnetic field. This tunable positive magnetoconductance, which can persist even in non-ideal nanoscrolls, stems from the topological winding number of a carbon nanoscroll that is activated by the magnetic flux. Its maximum value increases solely with the scroll winding number (the number of turns). By integrating material geometry and topology, our work opens the door to artificially creating, customizing, and designing topological materials in rolled-up graphene-like systems.