HTML Code

<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="utf-8">
  <title>mouseenter handler</title>
  <style>
    body { font-family: sans-serif; padding: 16px; }
    #outer { padding: 20px; background: #dbeafe; border: 2px solid #3b82f6; border-radius: 8px; display: inline-block; }
    #inner { padding: 16px; background: #fef08a; margin-top: 10px; border-radius: 4px; }
    #log { margin-top: 12px; color: #1d4ed8; font-size: 14px; max-width: 420px; line-height: 1.6; }
  </style>
</head>
<body>
  <div id="outer">Outer
    <div id="inner">Inner (moving here does NOT re-fire mouseenter on Outer)</div>
  </div>
  <div id="log">Move into Outer above.</div>
  <script src="https://code.jquery.com/jquery-3.7.1.min.js"></script>
  <script>
    $("#outer").on("mouseenter", function() {
      $("#log").append(" Handler for mouseenter called.");
    });
  </script>
</body>
</html>

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jQuery mouseenter event — bind handler on #outer (Try It)