(1) Background: Alzheimer’s disease (AD) is an irreversible disorder of the central nervous system associated with beta-amyloid protein (Aβ) deposition and accumulation. Current treatments can only act on symptoms and not the etiologic agent. Neprilysin and α-bisabolol have been shown to reduce the aggregation of Aβ, suggesting a potential interaction between both molecules, leading to increased proteolytic activity on Aβ aggregates. (2) Methods: Computational simulations were conducted to explore the interaction between murine neprilysin [NEP(m)] and α-bisabolol and their effects on enzymatic activity. NEP(m) structure was predicted using comparative modeling, and the binding pattern to α-bisabolol and its effects on leu-enkephalin binding were explored through docking calculations and molecular dynamics simulations, respectively. (3) Results: The findings suggest that α-bisabolol stabilizes the Val481-Pro488 segment of NEP2(m), which directly interacts with the peptide substrate, enabling an optimized alignment between the catalytic residue Glu525 and leu-enkephalin. (4) Conclusions: This computational evidence strongly supports the notion that α-bisabolol stabilizes peptide substrates at the NEP2(m) catalytic site, leading to the positive modulation of enzymatic activity.