\begin{pullquote}
  {%
    object=%
    {%
      \begin{minipage}[b]{3cm}
        \includegraphics[width=3cm]{mill}
        \captionof{figure}{My caption}
      \end{minipage}%
    }%
  }%
  \lipsum[1-3]
\end{pullquote}

\begin{pullquote}
  {%
    object=%
    {%
      \parbox[b]{3cm}
      {%
        \includegraphics[width=3cm]{mill}
        \captionof{figure}{My caption}
      }%
    }%
  }%
  \lipsum[1-3]
\end{pullquote}