When someone clicks on the link on my site, I want the site they go to not to be seen as coming from my site

When someone clicks on the link on my site, I want the site they go to not to be seen as coming from my site.
Sample..

www.mysite.com is my site. and I have such a link on my site.

<a href=”www.someonessite.com”>Someone’s website</a>

When the visitor of my site clicks on this link, I want the outgoing site not to be seen as coming from my site.

Like in php. You can see where is visitor coming from by tis code $_SERVER[‘HTTP_REFERER’] And i want to hide it or
I want it to look like he is coming from another site

annotation:
I cannot use link shortening systems. my site gets links from some sites in the form of bots and my visitors click on this link and go to that site