You are running a Dell, so not sure, but the ASUS systems that use an 82579 network adapter, there is a problem with it showing as a 82579LM in Windows 8 when it needs to be a 82579V. You may be in the same situation with your 82567 adapter.
Mine in Intel and yours seems to be Realtek, but I will see if I can find anything.
Which Dell XPS model do you have?
This is an XPS 435T, about 3 1/2 years old, 8GB's, i920 CPU and it is working OK and was under W7.
The RealTek is on the Motherboard. I can't tell the EXACT model either? Device Manager doesn't tell me a lot?
This is what the H/W ID's show as :
I've been playing with the ADVANCED setting for SPEED AND DUPLEX... default is AUTO NEGOTIATE, but I've seen forum appends that say use the 1GB setting and force that way and it works better. It seems to but it doesn't work every time? I've seen others that say set it to 100Mbps, but that isn't the speed I want, so I've not tried it.
Funny thing is that my Motherboard was to be replaced, but the part sent had a BIOS problem. Booting it once in did force an install of a new NIC driver, Broadcom I think, as the NIC was different on that boards on-board NIC. New board was returned and the reason for getting the new one was a battery problem I had, Dell can't ship JUST the battery but had to send a NEW BOARD (I kid you not!). So we just swapped batteries and solved THAT problem.