Experimental data measured in Pb + Pb collisions at the LHC show a significant enhancement of events with an unbalanced pair of reconstructed jet momenta in comparison with p + p collisions. This enhancement of momentum imbalance is supposed to be caused by the different momentum loss of the initial back-to-back di-partons by scatterings within the created dense medium. For investigating the underlying partonic momentum loss we employ the on-shell transport model Bamps ( ) for full heavy-ion collisions, which numerically solves the 3 + 1D Boltzmann equation based on as well as inelastic scattering processes, together with Pythia initial state conditions for the parton showers. Due to the employed test-particle approach jet reconstruction within Bamps events is not trivial. We introduce a method that nevertheless allows the microscopic simulation of the full evolution of the shower particles, recoiled medium particles, and the underlying bulk medium in one common microscopic framework. With this method it is possible to investigate the role of the medium recoil for the momentum imbalance AJ while using well-established background subtraction algorithms. Due to the available particle information in configuration as well as momentum space within Bamps, it is additionally possible to reproduce the entire evolution of the reconstructed jets within the medium. With this information we investigate the sensitivity of the jet momentum loss from the difference in the partonic in-medium path lengths.