If you've done all you can think of to purge the air out of the fluid and just driving it leads to the fluid bubbling out of the reservoir while the engine is still running then maybe yes. You might be able to find a leak just by disconnecting a hose and looking for cracks.
I expect that your attempts to purge the fluid include applying a vacuum, circulating the fluid for a few seconds at a time, letting it sit with the engine stopped for an hour and topping off, all that stuff.
Also, be advised that some aftermarket PS pumps (I don't know if this applies to Hyundai applications) will include a filter to protect the new pump from debris in case the installer fails to flush the system. Perhaps if you have such a filter and it is clogged that might increase the suction? I've never seen that happen, but then I've never seen your car either.