I am not familiar with this particular product. If it's a face wash, it will probably be mild. Otherwise, daily exfoliation is too much for the skin. Besides, since your skin is oily, you run the risk that the skin will start overproducing oils to compensate. Exfoliations are usually thought of as weekly procedures. I use Dermalogica gentle exfoliating cream twice a month (but I have dry skin).
If you need exfoliation because you tend to have ingrown hair in your beard, then perhaps you should use specific products for the beard area (like Anthony ingrown hair treatment).