You can redefine DeclareFieldFormat{labelnumberwidth}{…}
command:
\documentclass[a4paper, 11pt]{article}
\usepackage[utf8]{inputenc}
\usepackage{fourier, heuristica}
\usepackage[showframe, nomarginpar]{geometry}
\usepackage{biblatex}
\usepackage{filecontents}
\begin{filecontents*}{testname.bib}
@article{jdoe,
author={Doe, John Paul},
journal={Journal},
title={Title},
year=2014,
pages={111--222},
}
\end{filecontents*}
\DeclareFieldFormat{labelnumberwidth}{\hskip\parindent#1}
\addbibresource{testname.bib}
\begin{document}
Text text text text text text text text text text text text text text text text text text text text text text text text text Citation: \cite{jdoe}.
\printbibliography
\end{document}
