Running header at center after the first page in article class

Can I do this without explicitly putting in \newpage or a page break? Note that I also have sections in my article.

\documentclass{article}
\usepackage{lipsum}
\begin{document}
\thispagestyle{empty}
\section{test1}
\lipsum[1-4]
\section{test2}
\lipsum[1-4]
\section{test3}
\lipsum[1-4]
\end{document}


Note Adding to the answer, if you want a specific text at the center: \makeatletter\def\@oddhead{\hfil{\small\emph{Specific text}}\hfil}\makeatother

Yes

\documentclass{article}
\usepackage{lipsum}
\begin{document}