Upgrading a system from two pCPU to four pCPU, need RHEL reinstall?

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Hello guys,
I'm running RHEL on a Cisco UCS system provided by four CPU sockets but with only two CPUs filled in (so two CPU sockets are empty).
I'd like to upgrade my system adding two other CPUs (of the same type).
Do I need to reinstall the OS after the upgrade or RHEL will seamlessly manage the new CPUs?
Has anyone experience on this?
Thanks a lot!

PS: RHEL is installed on the bare metal (no virtualisation hypervisor).

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