Use latexmk on dtx file and then run it again on the tex file(s) it creates

I'm using `latexmk` on a `dtx` file that generates tex files as follows:

``````%<*driver>
\input docstrip.tex
I'm trying to get `latexmk` to run `pdflatex` on `dtx` file once, and then run it again on the tex files the `dtx` file generates. Is this possible? Or do I need a standard `makefile` to do this?