The effect of a stochastic magnetic field on the evolution of a long wavelength tearing mode is investigated analytically. A near Gaussian statistical closure approximation is used to obtain renormalized statistical equations from the fluid equations. The stochastic magnetic field is found to induce a turbulent electron dissipation. For typical tokamak discharge parameters, this turbulent dissipation both broadens the current layer of the mode and leads to a growth rate which, for fluctuation levels ⟨(&dgr;B/B)2⟩ as small as 10−8, is significantly larger than the classical resistive growth rate.