Keyboard shortcut for switching search engines in Safari search box

[Liedenfrost]

Is there a keyboard shortcut for switching search engines in Safari's search box (I believe Chrome had this feature before they got rid of the search box in the latest version)? The arrow on the left-hand side is cumbersome.

Thanks,
Alan

 

[mksd]

Arrow down once you're in the search box (Command-Option-F).

Markus