Вы можете использовать обработчик, чтобы обойти эту проблему: Как здесь fiddle
HTML:
<div id="Outer">
<div id="Hdr">About India</div>
<div id="Inner">
The Indian economy is the world's tenth-largest by nominal GDP and third-largest by purchasing power parity (PPP).
Following market-based economic reforms in 1991, India became one of the fastest-growing major economies; it is considered a
newly industrialised country. However, it continues to face the challenges of poverty, illiteracy, corruption, and inadequate public healthcare.
</div>
</div>
CSS:
#Outer{
width:400px;
border:1px solid blue;
position:absolute;
}
#Inner {
width:400px;
height:80px;
position:absolute;
border:1px solid blue;
overflow:auto;
}
#Hdr{
background:#ffcc99;
border-bottom:1px solid blue;
}
JS:
$(document).ready(function(){
$('#Outer').draggable({handle: "#Hdr"});
});