Copy text in remote tmux/irrsi to local machine

I have my IRC setup done in the following way: my VPS runs tmux, which runs an instance of irssi. I connect to my VPS using mosh, which is SSH over UDP. Now, when someone posts a link in an IRC channel, I cannot right click on the link, nor copy it to my local clipboard. Currently I am copying it through the copy mode builtin into tmux to a file in opened in vim, which I save and view outside of tmux, where I can copy it into my local clipboard and visit it. How can I make it possible to directly click on the link inside irssi inside tmux? Or at least make it possible to select the text and copy it. Before someone is suggesting xclip or something, that would not be easily work as I would have to navigate inside tmux to the right section in my window. To clarify: I can right click on links in irssi when I SSH into my server. It does not work when I SSH into my server and open irssi inside tmux. But on my local machine, it can right click on links when I open irssi in tmux. I tried it inside xfce4-terminal and gnome-terminal, behavior is the same.