"Elbow push" English analogy

I'm trying to figure out an English expression for something that we have in my native language and I can't seem to find one.

When someone's speaking publicly, and says something wrong or something they're not supposed to, another person standing next to the speaker might give them a comical "elbow push", to signal (to both the person and the audience) that's one should correct themselves.

That's what we call it - "elbow push" - from where I'm from.

Here's a animated gif to illustrate the situation.

https://media.giphy.com/media/3oFzm6N9pmmtM7bq9i/giphy.gif

Is there an idiom for that?

UPDATE: edited the picture to avoid confusion

Solution 1:

In the GIF, Joey is poking Chandler.

But you can poke someone for a variety of reasons. I think the word that you're looking for is nudge. From M-W:

1: to touch or push gently
...
especially : to seek the attention of by a push of the elbow
nudged Ron in the ribs and pointed at Malfoy — J. K. Rowling

I don't think there's an English idiom that's as specific as in your native language. As in the example above, the reason for the nudge will usually be clarified.