jQuery UI Accordion with sections wrapped in DIVs

I've successfully implemented an accordion as outlined here, but would like to wrap each section in a div, so my structure would be as follows:

<div id="accordion">
<div class="wrap">
<h3><a href="#">Header 1</a></h3>
<div>Collapsible content 1</div>
</div><!-- end wrap -->
<div class="wrap">
<h3><a href="#">Header 2</a></h3>
<div>Collapsible content 2</div>
</div><!-- end wrap -->
<div class="wrap">
<h3><a href="#">Header 3</a></h3>
<div>Collapsible content 3</div>
</div><!-- end wrap -->
</div>

Is this possible using the accordion functionality provided in jQuery UI? As of now, if I try to build it this way, it attempts to treat the <div class="wrap"> as the section header.