it should work fine, but the whole idea of the para DI is to be utterly transparent; as such, you'll have no compression or "fattening", it'll just be your dry bass sound straight in.
even the EQ is mostly about super-narrow notch filters to kill acoustic feedback without changing the tone that much; as such, there won't be a lot of tone-shaping from it.
finally, the super-high input impedance (made for piezo acoustic pickups) might make the bass sound brittle.
(try it of course since you already have it.)
Guitar Repair Gnome
Alpha Music, VA Beach