One option would be to use the comment package and to enclose the \bibliography command (in the body of your document) inside a comment environment initially deactivated; i.e., schematically to write something like
\documentclass{article}
\usepackage{comment}
\includecomment{comment}
%\excludecomment{comment}
\begin{document}
\cite{key1},\cite{key2},...,\cite{keyn}
\bibliographystyle{plain}
\begin{comment}
\bibliography{biblio}
\end{comment}
\end{document}
then, process your document in the usual way: pdflatex+bibtex+pdflatex+pdflatex to get the citations and the bibliography, and then to activate the comment environment (by uncommenting the \excludecomment{comment} line and commenting out \includecomment{comment}
) and then run pdflatex one more time.