In the settings of the EA app you can choose if you want to automatically update your game or not. I can't check right now where exactly in the app but I have automatic updates turned off.
If automatic updates are turned on, you should not have to do anything and will get the update. If they are turned off, you *should* be able to play without the patch in offline mode. I say should because some people seem to have issues with the EA app. In this case you will have to click update to update your game.