There is an article on Operations Manager Engineering blog titled Patience is a virtue with the System Center 2012 Operations Manager SP1 installation. This articles advises you to be careful with upgrading SCOM 2012 to SP1 and not to rush things because you can face a lot of issues. Basically you should not upgrade two or more management servers at the same time. I would follow this advise to almost every product.
Be Patient with SCOM 2012 SP1 Upgrade
Published by Stanislav Zhelyazkov
Stanislav Zhelyazkov has been working in IT since 2007. Stanislav has started his IT career as a Help Desk Specialist in 2007 while studying Informatics in the University of Ruse. He also worked in HP Enterprise Services (now known as DXC), maintaining large corporate IT infrastructures for clients in Holland, Switzerland and Germany and was involved in a Private Cloud project based on MS Hyper-V and System Center. He was also in the role of Principal Consultant in Lumagate developing and consulting companies on Azure, OMS, management and Private clouds. Currently he is Cloud Infrastructure Engineer at Sentia Denmark. Stanislav is active community member at MSDN forums providing answers on Azure. His blogposts can be found at www.cloudadministrator.net or www.systemcentercentral.com. View all posts by Stanislav Zhelyazkov