The IceCube Neutrino Telescope has observed a diffuse all-flavor
astrophysical neutrino flux above $30\,\mathrm{TeV}$. The neutrino
flux is currently compatible with an isotropic distribution; no astronomical
counterparts have been identified yet. Here, we propose a binned
forward-folding likelihood fit of the available neutrino data to search for
integrated emission in the Galactic plane. We use two independent neutrino
samples, one consisting of all-sky all-flavor events with deposited energies
larger than $1\,\mathrm{TeV}$ whose interaction vertex is contained in
the detector's fiducial volume, the other of up-going muon neutrinos; both
samples are integrated over a time period of six years. By performing a joint
analysis of through-going and starting events, degeneracies between Galactic
and extra-galactic neutrinos can be resolved and uncertainties in the
atmospheric neutrino fluxes are better controlled. We present preliminary
sensitivities for different models of neutrino emission from the Galactic
plane.