If you add compost on top of your organic fertilizer as a top dressing, the compost will surely have the necessary microbes to convert your fertilizer. This is the way nature intended it to work - leaves falling on top of the soil, breaking down, fibers washing down into the soil to enrich it.
There's really no need to dig it in, and especially on an established plant the danger of damaging the roots is a good reason not to do that. Any plant anywhere can benefit from a top dressing of compost each spring, jmho. (well maybe not succulents . . . )
