Right now, I'm doing an internship at a local company in my province. In October of last year, I decided that I wanted to participate in an internship program in Japan that my school advertises. They had given us some examples of internships over there, so we didn't need to find them ourselves. But, the timing wasn't perfect, so I decided to do it this year instead.
My internship supervisor at my current workplace did work in Japan for a while, and when we spoke about it, I asked him about if he knew someone over there in the specific field that I want to work in. He told me that he does know someone that works in a company that interests me. He sent me a link to the company and asked me if I would be interested, and I answered "Yes."
2 weeks have passed since that conversation. We haven't talked about it at all, and my internship is ending at the end of the month. Further, he is leaving for two weeks next week. So there is only going to be one week before my internship ends once he comes back.
My question is, how should I go about asking him about getting a reference at this company? Should I ask my supervisor to talk to them, or should I just ask for his permission to talk to them and mention him as a reference?
I'm not sure what to do and I would love to do an internship in Japan.