We propose a SANS experiment to investigate a structural transition involving an alkylated fullerene-C60 (an alkyl-aromatic hydrophobic amphiphile) in alkane solvents from an isotropic micelle phase to a structured fibrous gel phase. These solution-based gel fibres can carry charge and are therefore of significant interest for next-generation molecular organic electronics. Both phases have been characterised in preliminary experiments using synchrotron SAXS (SPring-8, Japan), but there remain fundamental open questions about the mechanism of the transition and structure of the fibres. The obtained results will have a profound impact on this exciting topic, specifically allowing us to optimize the charge transport properties of the gel structure, while also increasing our understanding of the new concept of alkyl-aromatic hydrophobic amphiphilicity.