Troubleshooting connectivity issue with Azure hosted database

We have a web site that connects to a database stored in Azure. This is an intermittent error we receive:

System.Net.Http.HttpRequestException: An error occurred while sending the request. ---> System.Net.WebException: Unable to connect to the remote server ---> System.Net.Sockets.SocketException: A connection attempt failed because the connected party did not properly respond after a period of time, or established connection failed because connected host has failed to respond 52.xxx.xxx.xxx:443

Running netstat from our web server we get this result:
TCP      172.17.x.xx:54432     52.xxx.xxx.xxx:443    SYN_SENT
TCP      172.17.x.xx:54432     52.xxx.xxx.xxx:443    SYN_SENT
TCP      172.17.x.xx:54432     52.xxx.xxx.xxx:443    SYN_SENT
TCP      172.17.x.xx:54432     52.xxx.xxx.xxx:443    SYN_SENT
TCP      172.17.x.xx:54432     52.xxx.xxx.xxx:443    SYN_SENT
TCP      172.17.x.xx:54432     52.xxx.xxx.xxx:443    SYN_SENT
TCP      172.17.x.xx:54432     52.xxx.xxx.xxx:443    SYN_SENT
TCP      172.17.x.xx:54432     52.xxx.xxx.xxx:443    SYN_SENT
TCP      172.17.x.xx:54432     52.xxx.xxx.xxx:443    SYN_SENT
TCP      172.17.x.xx:54432     52.xxx.xxx.xxx:443    SYN_SENT
TCP      172.17.x.xx:54432     52.xxx.xxx.xxx:443    SYN_SENT
TCP      172.17.x.xx:54432     52.xxx.xxx.xxx:443    SYN_SENT
TCP      172.17.x.xx:54432     52.xxx.xxx.xxx:443    SYN_SENT

Is this an issue on Microsoft's side?