You have automatic access to the session profiler. With each incoming report, we collect a plethora of data over the course of the application's usage. From its initiation up until a report is sent. The data is then displayed in the session profiler for each bug report as a timeline.
One piece of information we capture is network connectivity. This will display the user's network, internet connectivity type, and any changes over 60 seconds before the report is sent.
Please read the docs for more information about the session profiler, which is enabled by default.