Unfortunately, I'm not familiar with HP switches, especially the Virtual Connect modules. With our Cisco network infrastructure, I simply created a VLAN as a native VLAN on each switchport where an ESXi uplink is connected and the problem was solved. We have no untagged traffic in our infrastructure, so using a "dummy" native vlan was an acceptable workaround.
With Cisco it would be:
switch# conf t
switch(config)# vlan 123
switch(config-vlan)# name VMWARE-NATIVE-DUMMY
switch(config-vlan)# exit
switch(config)# int Ethernet1/35
switch(config-if)# switchport trunk allowed vlan add 123
switch(config-if)# switchport trunk native vlan 123
switch(config-if)# end
switch# wr
(Interface must be changed)