In an aircraft, high-lift devices operating at high angle of attack promote the formation of relatively large wakes. Such wakes influence the aerodynamic performance. The slat wake, for example, affects the transition point of the wing main element and is the most important source of noise in the airframe. Owing to the generation of lift these wakes are asymmetrics. Bodies immersed in a shear flow also produce asymmetric wakes, with important applications to the oil industry. There are aspects of such flows that need investigation. For instance, there is no consensus about whether or not the asymmetry can suppress vortex shedding or how it affect the shedding frequency. Indeed there is an apparent discrepancy between results found in literature. The aim of the present work was to contribute to this issue. The idea was to investigate the influence of asymmetry on a two-dimensional wake profile under temporal development. The asymmetric wake profile was obtained by a combination between a gaussian wake profile and a hyperbolic tangent mixing layer profile. The bidimensional (2D) linear stability theory analyses of the profile was performed. The work also included 2D Direct Numerical Simulation (DNS) using the characteristic formulation of the compressible Navier-Stokes equations in non-conservative form. The results showed that the asymmetry reduces the shedding frequency for the range of 0≤ K≤ 0, 25 investigated. For small values of the asymmetric parameter the results showed that the asymmetry promotes stability. Moreover, the results from literature were reconciled by taking into account the variation of the drag coefficient with the asymmetry. Therefore, a possible explanation for the controversy was offered.