Back in Stock Flow - multiple locations

We have back in stock notifications set up with our Shopify store but we have multiple store locations where inventory is tracked. 

We have an Online store (where online orders are fulfilled) and many retail stores where inventory is separated for retail. 

I noticed that when we marked a product in stock at our retail location, or just simply transfer stock between retail locations, (that isn’t restocked at our online location) a customer was alerted. (They went to the product page and it was still listed as sold out). 

Is there a way I can only alert people when something is restocked at our online store location?