  In this paper, we investigate the possibility of entanglement swapping
between two distinct qubits coupled to their own (in general) non-Markovian
environments. This is done via Bell state measurement performing on the photons
leaving the dissipative cavities. In the continuation, we introduce the concept
of entangling power to measure the average of swapped entanglement over all
possible pure initial states. Then, we present our results in two strong and
weak coupling regimes and discuss the role of detuning parameter in each regime
on the amount of swapped entanglement. We also determine the conditions in
which the maximum amount of entanglement can be swapped between two qubits. It
is revealed that despite of the presence of dissipation, it is possible to
create long-living stationary entanglement between two qubits.
