I am currently into my second month of an internship, reporting to a supervisor, who (together with another colleague) reports to the senior manager.
My supervisor holds multiple portfolios, and thus is extremely busy. While I progressively update the necessary records and search for new external providers, I find myself dealing with the recurring logistics at work for various programmes.
My dilemma falls into a situation where my colleague (who reports to the same senior manager as my supervisor) gets me involved in numerous projects, which I am more than happy to be part of and contribute my share of it. Furthermore, another senior manager in the department has also assigned me some tasks.
I am alright and most willing to take up all these tasks, but I can't help but to be worried if I am taking the right approach, to me, as an intern it is right for me to help whoever who needs some assistance in the department.
How should I be approaching such a situation? Should I be giving my supervisor updates time-to-time on what I'm working on?
All of us sit in the same office (except for the senior manager whom my supervisor is reporting to), and I can't help but feel a sense of guilt whenever I work on tasks given by other people and my supervisor walks past me.
Edit: Thank you everyone for your advice. I caught my supervisor in the hallway earlier this week and gave her a quick update on what I was working on, as well as checked with her if there was anything I could assist her with - she told me that I could just go ahead to work on the tasks that the rest of the team have assigned to me. In fact, this morning she even checked in on my progress and we had a casual chat on the existing task that I am working on. Thanks everyone!