I am working on a heavy content site. 
On desktop post page i have sticky sidebar that displays the next posts. 

On mobile at the bottom of the page when the post is over, the read next stories are following the share buttons. 

The client wants to have a flyout post at the bottom to prompt the user to click. My concern is that this never work well on mobile and that the experience will be compromised if the user will be about to share an article and then that thing will fly out, or if he will want to keep scrolling and read the articles that are at the bottom.

So i would like to say no on that but maybe there are other options i can do on mobile, Does anyone have any suggestions ?