Preterm Birth is a major healthcare problem and its appropriate prediction remains a challenge. Extensive research utilising advanced MR protocols has been undertaken on the cervical malignancy, but cervical structure and remodelling in term and preterm pregnancies is little studied. As part of a larger project, this work aims to explore model-based diffusion MRI microstructural models along the non-pregnant cervix. We compare multi-compartment microstructure models to analyse the diffusion signal. Initial results reveal that more complex models than the Apparent Diffusion Coefficient are required to characterise the cervical tissue microstructure.