Jovian plasma currents can be deduced from Pioneer 10 magnetic field observations and used to construct the magnetic field due to sources interior to the magnetopause. This interior field can then be used to construct a zero-order approximation magnetospheric shape by employing pressure balance conditions as was done for the earth's magnetosphere (Beard, 1960). The Jovian magnetosphere is, as expected, somewhat flatter and more disklike than the cigarlike (i.e., cylindrical) shape of the earth's magnetosphere.