\documentclass[UKenglish,a4paper,11pt]{report}
\usepackage{babel}

%% Adjustments
\addtolength{\topmargin}{-1\baselineskip}
\addtolength{\textheight}{4\baselineskip}
\pretolerance = 2000
\tolerance = 5000   \hbadness = \tolerance

%% Smaller font
\usepackage{mathptmx}

%% LISTINGS
\usepackage[final]{listings}
\lstset{
    xleftmargin=1.5em,
    framexleftmargin=1em,
    framextopmargin=0.5ex,
%%  THE FRAME:
    framerule=1pt,
    frame=tblr
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\usepackage{lipsum}     % for demo
\begin{document}
\subsubsection{Lorem}   % some fiddling to get the "wrong spacing just right":
\lipsum[1-3]
\subsubsection{Ipsum}
\lipsum[1] and then some text

\begin{lstlisting}
Here is a listing with
three lines of code;
The bottom border is placed on the next page!
\end{lstlisting}

Can you believe it..?!
\end{document}