Altogether, time-dependent rheology measurements and µDSC data suggest that compared to the diblock, gradient and star-like copolymer architecture, the triblock structure has the best combination of packing parameter and macromolecular dynamics to enable efficient rearrangement from spherical to worm-like micelles and thus fast gelation. In addition, PEG-based hydrophilic blocks seem to be favourable for the gelation process.