...
addtocontents{toc}{protectenlargethispage*{3baselineskip}}
chapter{Preliminaries} % your second chapter
...

documentclass{book}
begin{document}
tableofcontents
%...
addtocontents{toc}{protectvspace{-4em}}
chapter{One}
%
addtocontents{toc}{protectenlargethispage*{3baselineskip}}
chapter{Preliminaries}
%
end{document}