Not for a very long time.
It's not really an issue though. It's not even an environmental issue, the trees that are used to make paper were grown specifically for the purpose. There is no deforestation involved in the paper industry.
The problem is, if you want to go "paperless," you have to deal with users who liked it the old way, technology costs, and many other issues that simply do not exist with a printout.
EDIT: Creating a paperless office depends entirely on the business you are in, how much funding you have, and the users you have.