The photofragmentation of the (HeBr2)-Br-79 van der Waals complex is studied for the transition from the ground to the excited electronic state B and where the Br-2 subunit is also excited to the neighborhood of the nu(0)=45 vibrational state. At this vibrational level the bromine molecule is close to its dissociation limit and the Delta nu=-1 channel is closed for dissociation of the complex. In a previous work it was suggested that energy in the HeBr2(B, nu(0)=45) quasibound state may be internally redistributed (exciting van der Waals modes at the expense of the bromine excitation) prior to dissociation. Such mechanisms are more deeply studied in this work by means of the stabilization method, which works with square-integrable wave functions and is an appropriate approach to perform quasibound state analysis. Stabilization total cross sections compare fairly well with close-coupling ones, where the proper asymptotic behaviour of the continuum wave functions is taken into account. By inspection of the quasibound state wave functions, it is seen that energy is redistributed to several excited states belonging to the nu(0)-1 manifold. In addition, it is shown that such excited states also carry oscillator strength in the transition from the ground electronic state and thus interference effects in the excitation process are significant. HeBr2 near the halogen dissociation limit is found to be a rather strongly coupled system where the quasibound states involved can only approximately be assigned to quantum numbers corresponding to interhalogen and van der Waals vibrational excitations.