Git: Crear una rama a partir de cambios no editados / no confirmados en master

Contexto: Estoy trabajando en master agregando una característica simple. Después de unos minutos me di cuenta de que no era tan simple y que debería haber sido mejor trabajar en una nueva rama.

Esto siempre me sucede y no tengo idea de cómo cambiar a otra rama y tomar todos estos cambios no comprometidos conmigo dejando la rama maestra limpia. Supuse que git stash && git stash branch new_branch simplemente lograría eso, pero esto es lo que obtengo:

~/test $ git status
# On branch master
nothing to commit (working directory clean)

~/test $ echo "hello!" > testing 

~/test $ git status
# On branch master
# Changed but not updated:
#   (use "git add <file>..." to update what will be committed)
#   (use "git checkout -- <file>..." to discard changes in working directory)
#
#   modified:   testing
#
no changes added to commit (use "git add" and/or "git commit -a")

~/test $ git stash
Saved working directory and index state WIP on master: 4402b8c testing
HEAD is now at 4402b8c testing

~/test $ git status
# On branch master
nothing to commit (working directory clean)

~/test $ git stash branch new_branch
Switched to a new branch 'new_branch'
# On branch new_branch
# Changed but not updated:
#   (use "git add <file>..." to update what will be committed)
#   (use "git checkout -- <file>..." to discard changes in working directory)
#
#   modified:   testing
#
no changes added to commit (use "git add" and/or "git commit -a")
Dropped refs/stash@{0} (db1b9a3391a82d86c9fdd26dab095ba9b820e35b)

~/test $ git s
# On branch new_branch
# Changed but not updated:
#   (use "git add <file>..." to update what will be committed)
#   (use "git checkout -- <file>..." to discard changes in working directory)
#
#   modified:   testing
#
no changes added to commit (use "git add" and/or "git commit -a")

~/test $ git checkout master
M   testing
Switched to branch 'master'

~/test $ git status
# On branch master
# Changed but not updated:
#   (use "git add <file>..." to update what will be committed)
#   (use "git checkout -- <file>..." to discard changes in working directory)
#
#   modified:   testing
#
no changes added to commit (use "git add" and/or "git commit -a")

¿Sabes si hay alguna manera de lograr esto?