WordPress installed in network drive and running in 2 servers.

Hi,

The current way of setting up the site works, but I am wondering if it is possible installing the WordPress root in a network drive and the copy of code running in 2 servers. Please read the following for detail:
Currently there is a load balancer, 2 Unix servers with Apache installed. Separate copy of WordPress installed within both servers and connecting with one MySQL database.
In Server 1, WordPress root is installed under:
/export/home/wordpress/html/
In Server 2, WordPress root is installed under:
/export/home/wordpress/html/

If I mount the WordPress root in the same network drive and both servers running the same WordPress code under the network drive, would this cause any potential issues?

Thanks