The subjunctive mood is
"used to explore conditional or imaginary situations. It can be tricky to use, which partially explains why many speakers and writers forgo it. But it’s quite useful (and aesthetically pleasing, at least to us), and careful users of English should do their part to preserve it."
Your sentence is a hypothetical of the if-then variety.
As a side note, I also agree with your use of "we" and "my". The "I" implies that your Skyping partner is muted or (more likely) that you are using headphones. Otherwise, I'd go with "we" there.