That chip is not supported by the rtl8139 driver out of the box.
The workaround is as follows:

First, you must change the following file: /usr/include/linux/modversions.h Using any text editor 
such as nano, insert the following line into this file:

#include   linux/modsetver.h

Then continue with the compilation and install:

foo@somehost:$>cd where/the/source/4/rtl8139/is 
foo@somehost:#>cp rtl8139.c /root(or any temp directory)
foo@somehost:#>cd /root
foo@somehost:#>gcc -I /usr/src/linux/include -DMODULE -D__KERNEL__ -Wall -Wstrict-prototypes -O6 -c 
rtl8139.c `[ -f /usr/include/linux/modversions.h ] && echo -DMODVERSIONS`
foo@somehost:#>insmod rtl8139.o

> -----Original Message-----
> From: Brent Fortman [mailto:Brent.Fortman@radioshack.com]
> Sent: Wednesday, November 26, 2003 7:57 AM
> To: Brian Densmore; kclug@kclug.org
> Subject: RE: Need Help! Install Network card for Cable modem 
> connection
> 
> 
> Thanks.  I have resolved the immediate issue.  I was never able to
> insert the rtl8139 driver into the running kernel without 
> getting the "
> init_module: No such device." error.
> 
> However, it loads fine at boot time after being added to
> /etc/modules.conf as "alias eth0 rtl8139". I verified the new driver
> works with an old NIC card that I had previously working with 8139too.
> 
> The new NIC card I am trying to install is the D-Link 
> DFE-530TX+ REV E1
> (D10038D chipset) on RedHat 9, 2.4.20-8.  I have tried both 
> the 8139too
> and rtl8139 drivers - both do not work. The system correctly 
> identifies
> the hardware (lspci -v) but fails to be able to configure eth0 (
> Determining IP information... [fail] ). I have been unable to find any
> other source of information that might suggest that there is 
> yet another
> driver that will make this thing tick.  I am starting to wonder if it
> may simply be a bad piece of hardware.
> 
> Brent Fortman
> 
> 
> 
> -----Original Message-----
> From: Brian Densmore [mailto:DensmoreB@ctbsonline.com] 
> Sent: Tuesday, November 25, 2003 4:35 PM
> To: Brent Fortman; kclug@kclug.org
> Subject: RE: Need Help! Install Network card for Cable modem 
> connection
> 
> 
> Wow, that's an old thread! Last year.
> 
> http://www.yvca.org/archives/2002/jun/0540.shtml
> 
> Anyway, you are using the same exact card?
> Give us some specifics in your case. What version Linux?
> What is the output of lsmod?
> What does dmesg show?
> Have you tried building the module into the kernel?
> What NIC modules are already compiled into the kernel?
> 
> 
> > -----Original Message-----
> > From: Jason Clinton [mailto:me@jasonclinton.com]
> > Sent: Tuesday, November 25, 2003 4:04 PM
> > To: Brent Fortman
> > Cc: kclug@kclug.org
> > Subject: Re: Need Help! Install Network card for Cable modem 
> > connection
> > 
> > 
> > -----BEGIN PGP SIGNED MESSAGE-----
> > Hash: SHA1
> > 
> > Brent Fortman wrote:
> > | Did you ever get the rtl8139.o driver to install?  I know 
> this is an
> > | old thread, but I have come across the same EXACT 
> scenario.  I have
> > | not be able to resolve the problem yet.  Any help is greatly
> > | appreciated. Thanks.
> > 
> > I can't find the thread to which you are refering. Could you 
> > point to it
> > on our archives? http://www.kclug.org/
> > 
> > I'd be happy to look at it.
> > 
> > -----BEGIN PGP SIGNATURE-----
> > Version: GnuPG v1.2.3 (MingW32)
> > Comment: Using GnuPG with Thunderbird - http://enigmail.mozdev.org
> > 
> > iD8DBQE/w9HitSqjk42zvwkRAnPTAKCIUaezkPfonbO9XeGCAgataTWnUACfZjKv
> > iNHDn4j1CHZfrEfayeR1660=
> > =wg+w
> > -----END PGP SIGNATURE-----
> > 
> > 
> > 
> > majordomo@kclug.org
> > 
>