We study on-off intermittent behavior in two coupled double-well Duffing oscillators with stochastic driving and demonstrate that, by using slow harmonic modulation applied to an accessible system parameter, the intermittent attractors can be completely eliminated. The influence of noise is also investigated. Power-law scaling of the average laminar time with a critical exponent of -1 as a function of both the amplitude and frequency of the control modulation is found near the onset of intermittency, which is a signature of on-off intermittency.