From FTIR and 1 H NMR results, none of these two reactions yielded other products than the initial reagents. Finally, the reaction was then performed with TEA, a well-known catalyst for thiol-Michael additions . After proper solubilization of AMS-maleimide and oligoPBAT-dithiol and addition of TEA, a brownish solid was rapidly obtained in the flask (Figure in SI). This was a potential indication that the thiol-Michael reaction should have occurred with an expected cross-linking of AMS-maleimide with oligoPBAT-dithiol. After washing and drying steps, the obtained product was analyzed by FTIR to confirm the final chemical structure (Figure ). The resulting spectrum was mainly a combination of bands assigned to the backbones of AMS-maleimide and oligoPBAT-dithiol. The most notable observations were the full disappearance of the bands near 1623, 826 and 693 cm -1 , corresponding to maleimide's C=C bending, C-H and ring bending, respectively, as well as the lack of S-H stretching band near 2573 cm -1 . These different modifications clearly indicated that these groups were no more present in significant amounts in the final product, as a result of thiol-Michael addition. This product was completely insoluble in all tested solvents (DMSO, chloroform, dichloromethane, dichloroethane, tetrahydrofuran, water, ethanol, acetone), which was characteristic of cross-linked macromolecular networks impeding at this level any further NMR analysis in solutions. To obtain a final product soluble in CDCl3 from thiol-Michael addition and then analyzable by NMR, oligoPBAT-bismaleimide was first synthesized in a two-step process. Then a thiol-Michael addition was performed with oligoPBAT-dithiol, as a representative and model system. The different syntheses to obtain a soluble system and the different characterizations are fully described and detailed in SI, with a part of the discussion. The different results are given in Figures . As shown in the kinetic-based chapter of SI, the thiol-Michael addition between oligoPBAT-bismaleimide and oligoPBAT-dithiol presents a very high reaction rate. These results confirmed the high potential of this reaction. The fast kinetics could be particularly interesting for the development of materials containing the reported polymers, as the reaction could be completed in short times, compatible with low residence times in extruders with an adequate temperature and screw profile.