MS Office Professional Plus 2010 upgrade to MS Office Professional Plus 2013 with GPO

[AWS]

As Office 2013 has been released, I have started to prepare thing to do massive upgrade with GPO on all corporate computers.
I have prepared batch script to run it when computers shut down and prepared the MSP file.
But during testing, I noticed that Office 2013 successfully installs and applies the MSP, but on start menu still remains menu for MS Office 2010 which contains Microsoft SharePoint Workspace 2010.
I would like an idea how to remove completely MS Office 2010
Thanks

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