One way to scare your suppliers is to boast of the relentlessness of your procurement division.
From the buyer's point of view, though, it's better to centralize procurement processing, which can be a frequent task. It's costs effective, too, when simply considering economies of scale. And when it comes to ordering production materials, this directly impacts the company's profit (obviously).
If there are only two or three suppliers that you order from, you could have them directly log into your workflow system. That way it can evolve from a mere "order–invoice" relationship to one that allows more complicated communication.