According to Microsoft, the latest version of Skype is supported on Windows 7 in both the 32-bit and 64-bit flavors.

Is Skype compatible with Windows 7?

You will need to update your OS to Windows 7 or higher to continue using Skype on the same device. You can also sign into Skype on a supported device.

How do I use Skype on Windows 7?

Click the Downloads tab at the top of the website, and select “Computer” from the type of devices at the top of the window. Click on “Get Skype for Windows desktop”. Downloading of the installer will automatically commence. Install Skype.