We examine the linear stability properties of the collisionless tearing in a reversed-field sheet pinch assuming that k¿B≠0, where B is the equilibrium magnetic field. We show that currents are driven in the direction perpendicular to the sheet pinch, a consequence of the differing drift response of the protons and electrons. This current is closed by a component parallel to B, resulting in strong field-aligned currents concentrated near the null line. Momentum balance is used to infer the functional shape of the current system at the null line, and it is demonstrated that the external current system cannot be carried by those particles with orbits crossing the null line. The relevance of this analysis to reconnection at the dayside magnetopause is discussed.