Mouse cursor doesn't identify correctly movement between two screens

Hi there,

I am having an annoying issue while trying to move between two screens (the MacBook screen and an additional one).

While moving from a screen to another, my mouse doesn't recognize that I have moved to another screen - and only responds to that screen if I click first with the mouse somewhere on the screen.

For example, I am on screen A doing something, now I am moving to screen B to click on some link on a webpage.

The mouse cursor moves, but it doesn't apply that button click before I click on that B screen to "notify" the mac I am on a different screen now.

How can I make my mac to identify I have moved to another screen and immediately make an action after the movement?

Thanks!