Thank you for posting your query in Wired Ethernet community.
you can try out the latest e1000e driver version 3.3.5 from the link below:
Thanks for the quick reply. I have downloaded and installed 3.3.5 and still have the same problem.
A clarification: Shutting down the machine from the OS is sufficient to reset the chip. I do not have to unplug the power supply or anything like that.