In your situation, git rebase
would also do the trick. Since you have no changes that master doesn't have, git will just fast-forward. If you are working with a rebase workflow, that might be more advisable, as you wouldn't end up with a merge commit if you mess up.
username@workstation:~/work$ git status
# On branch master
# Your branch is behind 'origin/master' by 1 commit, and can be fast-forwarded.
# (use "git pull" to update your local branch)
#
nothing to commit, working directory clean
username@workstation:~/work$ git rebase
First, rewinding head to replay your work on top of it...
Fast-forwarded master to refs/remotes/origin/master.
# On branch master
nothing to commit, working directory clean