Index: django/db/models/fields/related.py
===================================================================
--- django/db/models/fields/related.py	(revision 6709)
+++ django/db/models/fields/related.py	(working copy)
@@ -17,7 +17,7 @@
     from sets import Set as set   # Python 2.3 fallback
 
 # Values for Relation.edit_inline.
-TABULAR, STACKED = 1, 2
+TABULAR, STACKED = 'inline_tabular ', 'inline_stacked '
 
 RECURSIVE_RELATIONSHIP_CONSTANT = 'self'
 
Index: django/contrib/admin/templatetags/admin_modify.py
===================================================================
--- django/contrib/admin/templatetags/admin_modify.py	(revision 6709)
+++ django/contrib/admin/templatetags/admin_modify.py	(working copy)
@@ -166,15 +166,19 @@
     def render(self, context):
         relation = self.rel_var.resolve(context)
         context.push()
-        if relation.field.rel.edit_inline == models.TABULAR:
+        edit_inline = relation.field.rel.edit_inline
+        if edit_inline.startswith(models.TABULAR):
             bound_related_object_class = TabularBoundRelatedObject
-        elif relation.field.rel.edit_inline == models.STACKED:
+            edit_inline = edit_inline[len(models.TABULAR):]
+        elif edit_inline.startswith(models.STACKED):
             bound_related_object_class = StackedBoundRelatedObject
+            edit_inline = edit_inline[len(models.STACKED):]
         else:
             bound_related_object_class = relation.field.rel.edit_inline
         original = context.get('original', None)
         bound_related_object = relation.bind(context['form'], original, bound_related_object_class)
         context['bound_related_object'] = bound_related_object
+        context['extra_classes'] = edit_inline
         t = loader.get_template(bound_related_object.template_name())
         output = t.render(context)
         context.pop()
Index: django/contrib/admin/templates/admin/edit_inline_stacked.html
===================================================================
--- django/contrib/admin/templates/admin/edit_inline_stacked.html	(revision 6709)
+++ django/contrib/admin/templates/admin/edit_inline_stacked.html	(working copy)
@@ -1,5 +1,5 @@
 {% load admin_modify %}
-<fieldset class="module aligned">
+<fieldset class="module aligned {{extra_classes}}">
    {% for fcw in bound_related_object.form_field_collection_wrappers %}
       <h2>{{ bound_related_object.relation.opts.verbose_name|capfirst }}&nbsp;#{{ forloop.counter }}</h2>
       {% if bound_related_object.show_url %}{% if fcw.obj.original %}
Index: django/contrib/admin/templates/admin/edit_inline_tabular.html
===================================================================
--- django/contrib/admin/templates/admin/edit_inline_tabular.html	(revision 6709)
+++ django/contrib/admin/templates/admin/edit_inline_tabular.html	(working copy)
@@ -1,5 +1,5 @@
 {% load admin_modify %}
-<fieldset class="module">
+<fieldset class="module {{extra_classes}}">
    <h2>{{ bound_related_object.relation.opts.verbose_name_plural|capfirst }}</h2><table>
    <thead><tr>
    {% for fw in bound_related_object.field_wrapper_list %}
Index: docs/model-api.txt
===================================================================
--- docs/model-api.txt	(revision 6709)
+++ docs/model-api.txt	(working copy)
@@ -818,8 +818,13 @@
                              interface. Use either ``models.TABULAR`` or ``models.STACKED``,
                              which, respectively, designate whether the inline-editable
                              objects are displayed as a table or as a "stack" of
-                             fieldsets.
+                             fieldsets. You can append a string specifying extra CSS
+                             classes to be used for the inline fieldsets; the ``collapse``
+                             and ``wide`` classes, documented below, are useful.
+                             For example:
 
+                                edit_inline = models.TABULAR + 'collapse'
+
     ``limit_choices_to``     A dictionary of lookup arguments and values (see
                              the `Database API reference`_) that limit the
                              available admin choices for this object. Use this