Lab-on-a-chip (LOC) applications have emerged as an invaluable tools in physical and life sciences. However, LOC applications require extensive sensor miniaturization to leverage their full potential. In recent years, novel atom-sized quantum sensors have enabled measurements of temperature, electric and magnetic fields on the nano- to microscale. Nevertheless, the technical complexity of both disciplines has so far impeded an uncompromising combination of LOC and quantum sensors. Here, we present a fully integrated microfluidic platform for solid-state spin quantum sensors, such as the nitrogen-vacancy (NV) center in diamond. Our platform fulfills all technical requirements, such as fast spin manipulation, enabling full quantum sensing capabilities, biocompatibility, and easy adaptability to arbitrary channel and chip geometries. To illustrate the vast potential of quantum sensors in LOC devices, we demonstrate various NV center-based magnetic resonance experiments for chemical analysis in our microfluidic platform. We anticipate our microfluidic quantum sensing platform as a novel tool for electrochemistry, high throughput reaction screening, bioanalytics or organ-on-a-chip, and single-cell studies.