Ethics of using company data from internship for academic project

I am a graduate student and one of my research projects requires me to crawl a website using their public API. This is going alright but the amount of data we can collect is limited, since it is a public API.

As it happens, I will be doing an internship at the company that owns that website, and will soon have access to an unlimited supply of their data. Is it okay if I use that data for my academic research project, or will they expect me to only use their data for projects relating to my internship?