We introduce and test a method that integrates automatic geological modelling in level-set inversion. The objective of this method is to encourage geological realism during deterministic geophysical inversion for the modelling of interfaces between rock units. To this end, we introduce a geological correction term in the model update to reduce geological inconsistencies at each iteration of the inversion. This is achieved thanks to the integration of an automatic implicit geological modelling scheme within the geophysical inversion algorithm. After introducing the main theoretical aspect of the approach we propose, we present a realistic synthetic case illustrating the proof-of-concept in a basin scenario using gravity data. Results indicate that our approach effectively steers inversion towards geologically consistent models and may therefore be applied to field data.