I have not ran across that problem even though I have a realtek card:
╔═ comhack@Cerberus 12:08 AM
╚═══ ~-> lspci | grep -i realtek
0c:01.0 Ethernet controller: Realtek Semiconductor Co., Ltd. RTL-8139/8139C/8139C+ (rev 10)
[root@Cerberus log]# cat kernel.log | grep eth0
Jun 17 12:12:08 Cerberus kernel: [ 4.162770] 8139too 0000:0c:01.0: eth0: RealTek RTL8139 at 0xffffc90007168000, 6c:fd:b9:47:05:ec, IRQ 16
Jun 17 12:12:08 Cerberus kernel: [ 7.145666] 8139too 0000:0c:01.0: eth0: link up, 100Mbps, full-duplex, lpa 0x45E1
Jun 17 17:12:45 Cerberus kernel: [ 17.875818] eth0: no IPv6 routers present
Jun 17 20:02:51 Cerberus kernel: [ 4.110356] 8139too 0000:0c:01.0: eth0: RealTek RTL8139 at 0xffffc900065d2000, 6c:fd:b9:47:05:ec, IRQ 16
Jun 17 20:02:51 Cerberus kernel: [ 6.821783] 8139too 0000:0c:01.0: eth0: link up, 100Mbps, full-duplex, lpa 0x45E1
Jun 18 01:03:28 Cerberus kernel: [ 17.023855] eth0: no IPv6 routers present
Jun 18 13:47:52 Cerberus kernel: [ 4.654952] 8139too 0000:0c:01.0: eth0: RealTek RTL8139 at 0xffffc900065ce000, 6c:fd:b9:47:05:ec, IRQ 16
Jun 18 13:47:52 Cerberus kernel: [ 9.036053] 8139too 0000:0c:01.0: eth0: link up, 100Mbps, full-duplex, lpa 0x45E1
Jun 18 18:48:30 Cerberus kernel: [ 19.203776] eth0: no IPv6 routers present
Jun 19 01:54:05 Cerberus kernel: [ 9.484103] 8139too 0000:0c:01.0: eth0: RealTek RTL8139 at 0xffffc900065d2000, 6c:fd:b9:47:05:ec, IRQ 16
Jun 19 01:54:05 Cerberus kernel: [ 12.690061] 8139too 0000:0c:01.0: eth0: link up, 100Mbps, full-duplex, lpa 0x45E1
Jun 19 01:54:15 Cerberus kernel: [ 23.287271] eth0: no IPv6 routers present
Jun 19 10:40:24 Cerberus kernel: [ 4.328065] 8139too 0000:0c:01.0: eth0: RealTek RTL8139 at 0xffffc900065fe000, 6c:fd:b9:47:05:ec, IRQ 16
Jun 19 10:40:24 Cerberus kernel: [ 7.099796] 8139too 0000:0c:01.0: eth0: link up, 100Mbps, full-duplex, lpa 0x45E1
Jun 19 10:40:33 Cerberus kernel: [ 17.433214] eth0: no IPv6 routers present
Jun 19 15:09:18 Cerberus kernel: [ 7.264345] 8139too 0000:0c:01.0: eth0: RealTek RTL8139 at 0xffffc90007166000, 6c:fd:b9:47:05:ec, IRQ 16
Jun 19 15:09:18 Cerberus kernel: [ 26.925075] 8139too 0000:0c:01.0: eth0: link up, 100Mbps, full-duplex, lpa 0x45E1
Jun 19 15:09:28 Cerberus kernel: [ 37.604717] eth0: no IPv6 routers present
Jun 20 03:56:33 Cerberus kernel: [ 4.264858] 8139too 0000:0c:01.0: eth0: RealTek RTL8139 at 0xffffc900065e6000, 6c:fd:b9:47:05:ec, IRQ 16
Jun 20 03:56:33 Cerberus kernel: [ 6.982254] 8139too 0000:0c:01.0: eth0: link up, 100Mbps, full-duplex, lpa 0x45E1
Jun 20 08:57:13 Cerberus kernel: [ 17.273539] eth0: no IPv6 routers present
Jun 20 07:29:08 Cerberus kernel: [ 4.913898] 8139too 0000:0c:01.0: eth0: RealTek RTL8139 at 0xffffc900065ea000, 6c:fd:b9:47:05:ec, IRQ 16
Jun 20 07:29:08 Cerberus kernel: [ 7.571711] 8139too 0000:0c:01.0: eth0: link up, 100Mbps, full-duplex, lpa 0x45E1
Jun 20 12:29:49 Cerberus kernel: [ 18.165411] eth0: no IPv6 routers present
Jun 21 09:36:27 Cerberus kernel: [ 4.135297] 8139too 0000:0c:01.0: eth0: RealTek RTL8139 at 0xffffc90007330000, 6c:fd:b9:47:05:ec, IRQ 16
Jun 21 09:36:27 Cerberus kernel: [ 9.048697] 8139too 0000:0c:01.0: eth0: link up, 100Mbps, full-duplex, lpa 0x45E1
Jun 21 14:37:12 Cerberus kernel: [ 19.493535] eth0: no IPv6 routers present
Jun 22 11:21:00 Cerberus kernel: [74528.993272] 8139too 0000:0c:01.0: eth0: PCI Bus error e290
Jun 22 11:21:00 Cerberus kernel: [74528.993302] 8139too 0000:0c:01.0: eth0: PCI Bus error e290
Jun 22 11:21:00 Cerberus kernel: [74528.993316] 8139too 0000:0c:01.0: eth0: PCI Bus error 0290
Jun 22 06:25:54 Cerberus kernel: [ 7.944126] 8139too 0000:0c:01.0: eth0: RealTek RTL8139 at 0xffffc900065e6000, 6c:fd:b9:47:05:ec, IRQ 16
Jun 22 06:25:54 Cerberus kernel: [ 11.933247] 8139too 0000:0c:01.0: eth0: link up, 100Mbps, full-duplex, lpa 0x45E1
Jun 22 11:26:41 Cerberus kernel: [ 22.698188] eth0: no IPv6 routers present
[root@Cerberus log]#