A method comprising: configuring, by a provider edge, PE, network device that implements an Ethernet virtual private network data center interconnect, EVPN DCI, , a virtual Ethernet segment identifier, vESI, that comprises a plurality of top-of-rack Ethernet segment identifier, TOR-ESI, values that represent a plurality of Ethernet segments coupled to a top-of-rack, TOR, switch , wherein each of the plurality of Ethernet segments comprises one or more media access control, MAC, addresses associated with a respective one of the plurality of Ethernet segments; advertising, by the PE network device and to another PE network device in the EVPN DCI, the vESI that comprises the plurality of TOR-ESI values; receiving, by the PE network device and from the TOR switch, a withdraw request to withdraw one of the plurality of TOR-ESI values that represents an unreachable one of the plurality of Ethernet segments coupled to the TOR switch; removing, by the PE network device, the one of the plurality of TOR-ESI values that represents an unreachable one of the plurality of Ethernet segments coupled to the TOR switch from the vESI to form an updated vESI, wherein removing the one of the plurality of TOR-ESI values from the vESI further comprises removing MAC routes having the one of the plurality of TOR-ESI values that represents the unreachable one of the plurality of Ethernet segments coupled to the TOR switch; and advertising, by the PE network device, and to the another PE network device in the EVPN DCI, the updated vESI, to cause the another PE network device to remove MAC routes having the one of the plurality of TOR-ESI values that represents the unreachable one of the plurality of Ethernet segments based on the updated vESI. configuring, by a provider edge, PE, network device that implements an Ethernet virtual private network data center interconnect, EVPN DCI, , a virtual Ethernet segment identifier, vESI, that comprises a plurality of top-of-rack Ethernet segment identifier, TOR-ESI, values that represent a plurality of Ethernet segments coupled to a top-of-rack, TOR, switch , wherein each of the plurality of Ethernet segments comprises one or more media access control, MAC, addresses associated with a respective one of the plurality of Ethernet segments; advertising, by the PE network device and to another PE network device in the EVPN DCI, the vESI that comprises the plurality of TOR-ESI values; receiving, by the PE network device and from the TOR switch, a withdraw request to withdraw one of the plurality of TOR-ESI values that represents an unreachable one of the plurality of Ethernet segments coupled to the TOR switch; removing, by the PE network device, the one of the plurality of TOR-ESI values that represents an unreachable one of the plurality of Ethernet segments coupled to the TOR switch from the vESI to form an updated vESI, wherein removing the one of the plurality of TOR-ESI values from the vESI further comprises removing MAC routes having the one of the plurality of TOR-ESI values that represents the unreachable one of the plurality of Ethernet segments coupled to the TOR switch; and advertising, by the PE network device, and to the another PE network device in the EVPN DCI, the updated vESI, to cause the another PE network device to remove MAC routes having the one of the plurality of TOR-ESI values that represents the unreachable one of the plurality of Ethernet segments based on the updated vESI. <EOS>