Do I need to upgrade Visual Studio 2010 to Visual Studio 2012 in order to develop on SharePoint 2013?
Is the new SharePoint 2013 designer plug-in compatible with Visual Studio 2010?
Are any features locked out of SharePoint 2013 if I stick to using Visual Studio 2010? Does work with SharePoint 2013, do I lose any functionality?
I think it will work without upgrading VS2010
take a look at this link which states the Requirement for SP 2013