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Seismic tomography of the crust is an essential tool for studying the three‐dimensional structure of magmatic plumbing systems feeding active volcanoes, but it is often limited in resolution by the absence of deep local seismicity. Teleseismic receiver functions can be used to illuminate local structural variations, but typically do not account for the effects of three‐dimensional velocity heterogeneities. Here we harness the complementary strengths of both techniques by processing Ps‐P delay times derived from teleseismic receiver functions in a tomographic S wave inversion. Using our inversion technique, we produce the first tomographic crustal velocity model beneath Cleveland Volcano, identifying a vertically extensive high VP/VS anomaly beneath the volcano that likely signifies a middle‐to‐lower crustal magma reservoir. The observation is the first of its kind in the central Aleutians, illustrating the potential of our technique to advance our understanding of crustal magmatic systems without broad seismic networks or distributed local seismicity. Plain Language Summary: Detailed models of magma pathways and storage regions beneath volcanoes are critical for our understanding of the dynamics of volcanic systems and their long‐term hazard to society, but there is often a large gap in these images in the lower crust. With this study, we fill that gap at Cleveland Volcano in the central Aleutians, Alaska, by using seismic waves generated at the crust‐mantle interface. These waves traverse the entire crust before reaching seismic stations on the volcano, allowing us to infer relative variations in seismic velocity in the crust. With this technique, we produce an image of a low velocity anomaly directly beneath the volcano that reaches from the volcano through the entire crustal column that represents an extensive network of stored magma, rock, and/or volatiles. This network is likely what supplies Cleveland Volcano's persistent activity. Our new technique has the potential to help fill similar imaging gaps beneath other volcanoes. Key Points: We use a new technique, crustal Ps‐P tomography, to image crustal velocity structure beneath Cleveland VolcanoWe image a vertically extensive magma reservoir localized beneath the volcanoPs‐P tomography improves lower crustal imaging beneath sparsely instrumented volcanoes [ABSTRACT FROM AUTHOR]