How to provide space for many or long sidenotes in tufte-book?

Question

I use tufte-book and have too many sidenotes to fit on a page. In these cases, the sidenotes run longer than the bottom margins and are lost for the reader. How can the sidenote text, which does not fit on a page, made to continue on the next one?

I have seen this attempt which seems not to have been successful.

An MWE, where sidenotes 5, 6 and 7 are lost:

\documentclass[a4paper,openany,nobib]  {tufte-book}

\usepackage{lipsum}

\begin{document}
\lipsum[1-2]
\sidenote{\lipsum[4]}
\lipsum[6]\sidenote{\lipsum[4]}\sidenote{\lipsum[4]}
%\clearpage
\sidenote{\lipsum[4]}
\sidenote{\lipsum[4]}
\lipsum[6]\sidenote{\lipsum[4]}\sidenote{\lipsum[4]}
\end{document}  

My text is long and I would rather not add manually \clearpage at appropriate positions (as the commented out code suggests), which seems to produce an acceptable result. Other acceptable solutions would be to break the sidenote (or sidenotes) at the bottom of the page (to break at the next paragraph break) and continue on the next one.

How can I achieve an automatic solution?