Proteolysis is essential for the control of metabolic pathways and cell cycle. Bacterial caseinolytic proteases (Clp) use peptidase components, such as ClpP, to degrade defective substrate proteins and to regulate cellular levels of stress-response proteins. To ensure selective degradation, access to the proteolytic chamber of the double--ring ClpP tetradecamer is controlled by a critical gating mechanism of the two axial pores. Binding of conserved loops of the Clp ATPase component of the protease or small molecules, such as acyldepsipeptide (ADEP), at peripheral ClpP ring sites triggers axial pore opening through dramatic conformational transitions of flexible N--terminal loops between disordered conformations in the "closed" pore state and ordered hairpins in the "open' pore state. In this study, we probe the allosteric communication underlying these conformational changes by comparing residue-residue couplings in molecular dynamics simulations of each configuration. Both principal component and normal mode analyses highlight large-scale conformational changes in the N-terminal loop regions and smaller amplitude motions of the peptidase core. Community network analysis reveals a switch between intra- and inter-protomer coupling in the open - close pore transition. Allosteric pathways that connect the ADEP binding sites to N-terminal loops are rewired in this transition, with shorter network paths in the open pore configuration supporting stronger intra- and inter-ring coupling. Structural perturbations, either through removal of ADEP molecules or point mutations, alter the allosteric network to weaken the coupling.