There are several more plausible alternative explanations for how Homo erectus managed to turn up in Asia so soon after its first appearance in Africa. First, a lot of plus-or-minusing goes into the dating of early human remains. If the actual age of the African bones is at the higher end of the range of estimates or the Javan ones at the lower end, or both, then there is plenty of time for African erects to find their way to Asia. It is also entirely possible that older erectus bones await discovery in Africa. In addition, the Javan dates could be wrong altogether.
Now for the doubts. Some authorities don't believe that the Turkana finds are Homo erectus at all. The snag, ironically, was that although the Turkana skeletons were admirably extensive, all othererectus fossils are inconclusively fragmentary. As Tattersall and Jeffrey Schwartz note in Extinct Humans, most of the Turkana skeleton "couldn't be compared with anything else closely related to it because the comparable parts weren't known!" The Turkana skeletons, they say, look nothing like any Asian Homo erectus and would never have been considered the same species except that they were contemporaries. Some authorities insist on calling the Turkana specimens (and any others from the same period) Homo ergaster. Tattersall and Schwartz don't believe that goes nearly far enough. They believe it wasergaster "or a reasonably close relative" that spread to Asia from Africa, evolved intoHomo erectus, and then died out.