Organs-on-chips (ooc) are small devices aiming to recapitulate the physiology and/or pathology of a living organism. Contrarily to commonly used flasks and dishes, ooc devices are designed to recapitulate the physico-chemical microenvironment of the cells. Thanks to these mimics of higher relevance, ooc devices are able to enhance cell differentiation compared to 2D culture techniques. The field of ooc is still young, and many improvements remain to be done. For instance, one of the first organ-on-chip, produced by Huh et al. (2010), submitted epithelial and endothelial cells to mechanical stimuli by stretching a thin perforated PDMS membrane on which cells were attached. While extremely efficient, this setup presents several shortcomings, such as the high stiffness of PDMS compared to that of soft living tissues, and the poor relevance of a perforated membrane to study extravasation. Here we present a novel ooc microfluidic device allowing the coculture of cells in and on a soft hydrogel. Thus, a greater tissue complexity can be mimicked, including notably a “stromal compartment” in addition to the usual epithelium-endothelium dual culture. Relying on a pressure differential between each side of the hydrogel and resistances to adjust the flow, the hydrogel can be stretched. Thus, in the final setup, most physico-chemical parameters (stiffness, flow, strain, functionalization, etc.) are under the control of the operator to best suit the desired organ and application.