Pervaporation is a promising option to enhance conversion of reversible condensation reactions, generating water as a byproduct. The present study aims to develop a continuous composite catalytic pervaporation membrane reactor, as integration of reaction and separation offers advantages in terms of process efficiency and compactness. Composite catalytic membranes have been prepared by applying a zeolite coating on top of ceramic hollow fiber silica membranes. This approach allows independent optimization of the selective and catalytic properties. The performance of the composite catalytic membrane is examined in the esterification reaction between acetic acid and butanol. Additionally, a preliminary large-scale composite membrane reactor evaluation is carried out based on the obtained experimental data (e.g., membrane permeability and catalyst activity). In the pervaporation-assisted esterification reaction, the catalytic membrane is able to couple catalytic activity and water removal. A computational reactor evaluation proved that the outlet conversion for the catalytic pervaporation-assisted esterification reaction exceeds the conversion of a conventional inert pervaporation membrane reactor, with the same loading of catalyst dispersed in the liquid bulk. This shows the potential added value of such a membrane system as compared to more common reactor designs.