Need to have two zoom phone systems open at the same time - possible?

I just started my own small business and set up a zoom phone number.  I am still working part-time at my former job until they can find a replacement.  My former employer also used Zoom phones.  

Here is the question, I'd like to connect to both systems during the workday on one computer, so I can monitor both while working.  Is there any way to do this or is the only solution to open the different systems on different computers?

Thanks for any insight.