Increasing the distance between receiving parties is of fundamental importance for most quantum communication protocols, but this implies propagation in heavily lossy channels. The most basic way to deal with such losses is to build sources of quantum states of light, especially sources of entangled photon pairs, with extremely high emission rate. Another way to deal with losses and noise is to use higher dimensional encoding for the quantum states in the protocols, in particular via the use of hyper-entangled photon pairs to reduce noise-correlated errors.In this work we demonstrate an integrated source capable of delivering close to 10 Gpair/s of frequency and time-energy hyper-entangled photons generated via spontaneous four-wave mixing (SFWM) at telecom wavelengths. We performed Franson interference experiments on the time-energy basis and full tomography on the frequency-bin basis. Hyper-entanglement is proven by showing the violation of Bell’s inequality in both degrees of freedom and by obtaining high purity from the state tomography on the frequency basis.