- The charge-hiding effect by a wormhole, which was studied for the case where gravity/gauge-field system is self-consistently interacting with a charged lightlike brane (LLB) as a matter source, is now studied for the case of a time like brane. From the demand that no surfaces of infinite coordinate time redshift appear in the problem we are lead now to a completly traversable wormhole space, according to not only the traveller that goes through the wormhole (as was the case for the LLB), but also to a static external observer, this requires negative surface energy density for the shell sitting at the throat of the wormhole. We study a gauge field subsystem which is of a special non-linear form containing a square-root of the Maxwell term and which previously has been shown to produce a QCD-like confining gauge field dynamics in flat space-time. The condition of finite energy of the system or asymptotic flatness on one side of the wormhole implies that the charged object sitting at the wormhole throat expels all the flux it produces into the other side of the wormhole, which turns out to be of compactified ("tube-like") nature. An outside observer in the asymptotically flat non compactified universe detects, therefore, apparently neutral object. The hiding of the electric flux behind the wormhole is the only possible way that a trully charged particle can still be of finite energy, which points to the physical relevance of such solutions, even though there is the need of negative energy density at the throat of the wormhole, which can be of quantum mechanical origin.