We don't have LAN 82579LM driver for VMware, but you can reference following worksround solution,

Its not a VMWare supported solution but it works and installs a 82579LM driver

Please try the following:
1. Install your machine(s) with the ESXi 5.0 RollUp1 ISO.
2. Log on to the console (or via ssh) of one of the machines and install the vib file by using the following commands:
esxcli software acceptance set --level=CommunitySupported
esxcli software vib install -v http://files.v-front.de/net-e1001e-1.0.0.x86_64.vib
3. reboot, configure all NICs, and try to enable FDM then