The pattern calls for super bulky but you want to use bulky, is that right? Isn't super bulky the thicker of the two? If so it seems like you would need to use a bigger rather than a smaller needle to get the called for gauge. But anything is possible with gauge.
I suggest you make a big gauge swatch, one that is at least 8 inches wide. If the fabric you are getting seems good for a sweater and isn't too thick or full of big holes or something it is probably fine to switch. You want to watch out for fabric that is too stiff. Not good.