PVST to Core Switch

Hi everyone,

I have an S4128 switch stack that acts as our core switch for the organization. This is using VRRP in a failover configuration.

I have a N4032F switch stack for our VDI.

The VDI originally communicated solely on our 10.10.4.x subnet, which corresponds with eth4 on our core switches. We ran out of space on the 4.x network and need to expand in order to accommodate more VMs. We are planning to use vlans in our VDI and trunk the uplinks on the VDI stack. I created access vlan ports on the VDI switch for uplinks to new interfaces on the core switches (eth5), which is where I need some assistance.

I think I will be running into a spanning tree problem when connecting the two stacks together on another set of ports and heard that PVST might be my solution. I need the traffic defined by each vlan to flow to their respective core switch interfaces, but I'm concerned the switch might have a problem with that and shut down one set of the ports. Will PVST, or something like it, provide a solution to my problem?

Thanks in advance.