The current configured Flutter SDK is not known to be fully supported. Please update your SDK and restart IntelliJ
Solution 1
Without the versions of the tools you are using (Flutter SDK, Flutter plugin, IDEA), I've dug into the IDEA's Flutter plugin repo to check when is that warning shown.
So you get that warning when you either (1) don't have Flutter SDK installed on your OS and configured in your IDE, or (2) your installed version is less than minimum recommended version 0.0.12.
I doubt it's the latter (you would have had to go back 2.5 years to find that relic). For the former, since the plugin needs the Flutter SDK, make sure you follow this if you haven't already to get the latest Flutter SDK, and then configure that path within your IDE (File -> Settings -> Languages & Frameworks -> Flutter -> Flutter SDK path).
Solution 2
Restarting my computer and IDE worked for me. If that doesn't work run flutter upgrade
in your Terminal