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A canonical quantization \`a la Wheeler-DeWitt is performed for a model ofthree-form fields in a homogeneous and isotropic universe. We start by carryingout the Hamiltonian formalism of this cosmological model. We then apply thisformalism to a Little Sibling of the Big Rip (LSBR), an abrupt event milderthan a Big Rip and that is known to be generic to several minimally coupledthree-form fields for a variety of potentials. We obtain a set of analyticalsolutions of the Wheeler-DeWitt equation using different analyticalapproximations and explore the physical consequences of them. It turns out thatthere are quantum states where the wave function of the universe vanishes, i.e.the DeWitt condition is fulfilled for them. Given that this happens only forsome subset of solutions of the Wheeler-DeWitt equation, this points out thatthe matter inducing the LSBR is equally important in the process as, it hasbeen previously shown, a minimally coupled phantom scalar field feedingclassically a LSBR is smoothed at the quantum level, i.e. all the quantumstates lead to a vanishing wave function.

Quantum behavior of the "Little Sibling" of the Big Rip induced by a three-form field