The transport of tritium in liquid Pb-17Li has been investigated for different types of capsules and different methods of tritium extraction. Equations describing the tritium release process have been set up and solved, and time-dependent expressions of the outcoming tritium flux have been derived for closed capsules containing stagnant or moving Pb-17Li and for capsules where a He + 0.1% H2 flush gas sweeps the gas phase above the liquid Pb-17Li or bubbles through it. The analytical expressions of the outcoming tritium fluxes depend on tritium diffusivities and solubilities in Pb-17Li and in the container material and on the tritium generation rate in Pb-17Li. The models allow the determination of the characteristic tritium release times when these input parameters are available. The parameters, on the other hand, can be determined by fitting the experimental tritium release data with the theoretical flux equations. The characteristic tritium release time (time to reach 63.2% of the steady state tritium flux) is 14000 s, 7200 s, 2000 s and less than 100 s for the closed stagnant, closed convective, swept and bubbled capsule, respectively, and for the specific conditions of the “Libretto” experiment (Petten - NL).