Textarea newline prevention on Enter (jQuery)

I have:

$('#myTextArea').keyup(function(e) {
     if(e.keyCode == 13) {
       e.preventDefault(); // Makes no difference
     $(this).parent().submit(); // Submit form it belongs to
   }
});

How do I prevent the newline that shows up right before form submission? preventDefault() and stopPropagation don't work. I could manually reset the field text, but...