That makes it a bit tougher, but not impossible. The tracking # of the EEPROM is stored in words 0x2D and 0x2E. You can use ethtool to dump these words:
ethtool –e vmnic4 offset 2d length 1
ethtool –e vmnic4 offset 2e length 1
We can then use that to associate with a specific version. What information are you trying to associate with a version?