diff --git a/README.md b/README.md
index b6a5c01..a76f2f2 100644
--- a/README.md
+++ b/README.md
@@ -89,8 +89,12 @@ Tell Bash to use */dev/null* instead of *~/.bash_history*. This is the first com
 
 ```sh
 export HISTFILE=/dev/null
+unset SSH_CONNECTION
+unset SSH_CLIENT
 ```
 
+(We also clear SSH_* variables in case we logged in with SSH. Otherwise any process we start gets a copy of our IP in /proc/self/environ.)
+
 It is good housekeeping to 'commit suicide' when exiting a shell:
 ```sh
 alias exit='kill -9 $$'