So, I have created a two-column latex document using the multicol package. For the main body of the text, the code looks something like this:
\documentclass[11pt, A4]{article}
\usepackage{wrapfig}
\usepackage{graphicx}
\usepackage{multicol}
\begin{document}
\begin{multicol*}{2}
Some text...
\begin{figure}[H]
\centering
\includegraphics[width=\linewidth]{images/test.jpg}
\captionof{figure}{Caption}
\label{fig:my_label1}
\end{figure}
More text...
\end{multicol}
\end{document}
This produces the following result:

Now, I want to have the text below the figure (Ut egestas mauris...) to wrap around the figure and fill the previous column as well. I tried using wrapfigure but that produces the following result:
\begin{wrapfigure}{r}{\linewidth}
\centering
\includegraphics[width=\linewidth]{images/test.jpg}
\captionof{figure}{Caption}
\label{fig:my_label1}
\end{wrapfigure}
This is close, but the figure should move to the next column while the text stays to fill the gap. Are there any options for wrapfigure that would do this, or any other package? I suppose the only thing it needs to do is have the text only wrap above and below the image, not beside it. However, I am not really familiar with how latex renders these things, so I do not know if it is even possible.

\documentclass{...}, the required\usepackage's,\begin{document}, and\end{document}. That may seem tedious to you, but think of the extra work it represents for TeX.SX users willing to give you a hand. Help them help you: remove that one hurdle between you and a solution to your problem. – dexteritas Feb 26 '20 at 11:23width=\linewidthtowidth=.5\linewidth. – dexteritas Feb 26 '20 at 11:24