Here is the solution I found that worked for me.
Disable e-mail order items table from e-mail template and copy the function as a custom function into your theme.
<tbody>
<?php //echo $order->email_order_items_table( $order->is_download_permitted(), true, ($order->status=='processing') ? true : false );
echo custom_order_table($order);
?>
</tbody>
So your custom function will look like:
function custom_order_table($order) {
foreach($order->get_items() as $item) :
$_product = $order->get_product_from_item( $item );
$file = $variation = $image = '';
if ($show_image) :
$src = wp_get_attachment_image_src( get_post_thumbnail_id( $_product->id ), 'thumbnail');
$image = apply_filters('woocommerce_order_product_image', '<img src="'.$src[0].'" alt="Product Image" height="'.$image_size[1].'" width="'.$image_size[0].'" style="vertical-align:middle; margin-right: 10px;" />', $_product);
endif;
$return .= '<tr>
<td style="text-align:left; vertical-align:middle; border: 1px solid #eee;">'. $image . apply_filters('woocommerce_order_product_title', $item['name'], $_product) . $file . $variation . '</td>
<td style="text-align:left; vertical-align:middle; border: 1px solid #eee;">'.$item['qty'].'</td>';
$return .= '<td style="text-align:left; vertical-align:middle; border: 1px solid #eee;">';
if ( $order->display_cart_ex_tax || !$order->prices_include_tax ) :
$ex_tax_label = ( $order->prices_include_tax ) ? 1 : 0;
$return .= woocommerce_price( $order->get_line_subtotal( $item ), array('ex_tax_label' => $ex_tax_label ));
else :
$return .= woocommerce_price( $order->get_line_subtotal( $item, true ) );
endif;
$return .= '</td></tr>';
// Show any purchase notes
if ($show_purchase_note) :
if ($purchase_note = get_post_meta( $_product->id, '_purchase_note', true)) :
$return .= '<tr><td colspan="3" style="text-align:left; vertical-align:middle; border: 1px solid #eee;">' . apply_filters('the_content', $purchase_note) . '</td></tr>';
endif;
endif;
endforeach;
echo $return;
}
This is a modified version from here.