A library of thirty N-substituted tosyl N'-acryl-hydrazones was prepared with p-toluenesulfonyl hydrazide, methyl propiolate and different aldehydes in a one-pot synthesis via an aza-Michael reaction. The scope of the reaction was studied, including aliphatic, isoprenylic, aromatic and carbocyclic aldehydes. The prepared collection was tested against Mycobacterium tuberculosis H37Rv. Nine analogs of the collection showed Minimum Inhibitory Concentration ≤10 μM, of which the most active members (MIC of 1.25 μM) were exclusively E isomers. In order to validate the mechanism of action of the most active acrylates, we tested their activity on a M. tuberculosis InhA over-expressing strain obtaining MIC that consistently doubled those obtained on the wild type strain. Additionally, the binding mode of those analogs on M. tuberculosis InhA was investigated by docking simulations. The results displayed a hydrogen bond interaction between the sulfonamide and Ile194 and the carbonyl of the methyl ester with Tyr 158 (both critical residues in the interaction with the fatty acyl chain substrate), where the main differences on the binding mode relays on the hydrophobicity of the nitrogen substituent. Additionally, chemoinformatic analysis was performed to evaluate in silico possible cytotoxicity risk and ADME-Tox profile. Based on their simple preparation and interesting antimycobacterial activity profile, the newly prepared aza-acrylates are promising candidates for antitubercular drug development.