As was pointed out by Joanie Arends, DOE plans to close the WIPP site in ~2030. After that, and absent any new plans for waste disposition, TRU waste generated at LANL will stay at LANL.
DOE anticipates that by ~2030 WIPP will contain a total of ~9 million Curies (Ci) of TRU waste. This waste must "remain isolated from the biosphere" for a time much greater than 24 thousand years; i.e., the half-life of Pu239, the radionuclide making up ~10% of TRU waste, and the one with the longest half-life. By contrast, most of the TRU waste has a half-life of less than 100 years.