How to have the results of an `fzf` selection enter my bash history?

FZF is a lovely tool, the main issue I have is that the commands I end up running with it don't end up in my bash history. Let's say I do this

history | fzf

And I choose a command I ran recently, say echo "hello". When I then go through my bash history, my most recently run command isn't echo "hello", it's history | fzf. This means that I have to re-run the entire history | fzf and find the same echo "hello" command if I want to run it again. Is there a way to force my selected command that I got by using fzf into my bash history?