How to display category description in this function

I have this function that lists child categories on the parent category archive page. Can someone help me to get the category descriptions displayed inline with the titles… thanks heaps.

<?php

    $term = get_queried_object();

    $children = get_terms( $term->taxonomy, array(
        'parent'    => $term->term_id,
        'hide_empty' => false
    ) );

    if ( $children ) { 
        foreach( $children as $subcat )
        {
            echo '<li style="list-style-type:none"><a href="' . esc_url(get_term_link($subcat, $subcat->taxonomy)) . '">' . $subcat->name . '</a> </li>';
        }
    }
?>