How do I add a website to a virtual network in Windows Azure?

Scenario:

I have a website on Windows Azure. That website needs to connect to a (new) Azure VM.

I have done the following:

• Created new Virtual Network on Azure
• Added the VM to the Virtual Network, and it does get an IP in the virtual network.
• I have configured the appropiate Endpoint for the VM (Public/Private port).

Now, how do I "connect" the Azure website to the same virtual network, such that my .NET code in the website can create a TCP connection to the VM on it's IP on the Virtual Network ?

This is now possible. Be sure to use the NEW Azure Portal. For details, check out: http://azure.microsoft.com/blog/2014/09/15/azure-websites-virtual-network-integration/