No Message Alerts on iPhone While Using Mac

As the title suggests, when I'm using my Mac, my phone doesn't light up when I get a text message. If i lift it, the notification is there on the lock screen but no sound was made and the screen didn't light up until I checked myself. When I close my laptop, the notifications work on my phone again. It's as if it knows (obviously) that I'm using the Mac and decides to not bother me. But I want it to bother me. How to fix this-without turning off Handoff or something of that nature.