diff --git a/CHANGES b/CHANGES
index 01865c9e6..d3d93568b 100644
--- a/CHANGES
+++ b/CHANGES
@@ -53,6 +53,7 @@ Deprecated
 * ``sphinx.util.pycompat.u``
 * ``sphinx.writers.latex.LaTeXTranslator.babel_defmacro()``
 * ``sphinx.writers.latex.TextTranslator._make_visit_admonition()``
+* ``sphinx.writers.texinfo.TexinfoTranslator._make_visit_admonition()``
 * ``sphinx.writers.text.TextTranslator._make_depart_admonition()``
 * template variables for LaTeX template
 
diff --git a/doc/extdev/index.rst b/doc/extdev/index.rst
index 5dd86052a..48cbe90e4 100644
--- a/doc/extdev/index.rst
+++ b/doc/extdev/index.rst
@@ -192,6 +192,11 @@ The following is a list of deprecated interfaces.
      - 3.0
      - N/A
 
+   * - ``sphinx.writers.texinfo.TexinfoTranslator._make_visit_admonition()``
+     - 2.0
+     - 3.0
+     - N/A
+
    * - ``sphinx.writers.text.TextTranslator._make_depart_admonition()``
      - 2.0
      - 3.0
diff --git a/sphinx/writers/texinfo.py b/sphinx/writers/texinfo.py
index 1132d893c..6fa676b0f 100644
--- a/sphinx/writers/texinfo.py
+++ b/sphinx/writers/texinfo.py
@@ -11,12 +11,14 @@
 
 import re
 import textwrap
+import warnings
 from os import path
 from typing import Iterable, cast
 
 from docutils import nodes, writers
 
 from sphinx import addnodes, __display_version__
+from sphinx.deprecation import RemovedInSphinx30Warning
 from sphinx.errors import ExtensionError
 from sphinx.locale import admonitionlabels, _, __
 from sphinx.util import logging
@@ -1205,36 +1207,34 @@ class TexinfoTranslator(SphinxTranslator):
             name = self.escape(node[0].astext())
         self.body.append(u'\n@cartouche\n@quotation %s ' % name)
 
+    def _visit_named_admonition(self, node):
+        # type: (nodes.Element) -> None
+        label = admonitionlabels[node.tagname]
+        self.body.append(u'\n@cartouche\n@quotation %s ' % label)
+
     def depart_admonition(self, node):
         # type: (nodes.admonition) -> None
         self.ensure_eol()
         self.body.append('@end quotation\n'
                          '@end cartouche\n')
 
-    def _make_visit_admonition(name):
-        # type: (unicode) -> Callable[[TexinfoTranslator, nodes.Node], None]
-        def visit(self, node):
-            # type: (nodes.Node) -> None
-            self.visit_admonition(node, admonitionlabels[name])
-        return visit
-
-    visit_attention = _make_visit_admonition('attention')
+    visit_attention = _visit_named_admonition
     depart_attention = depart_admonition
-    visit_caution = _make_visit_admonition('caution')
+    visit_caution = _visit_named_admonition
     depart_caution = depart_admonition
-    visit_danger = _make_visit_admonition('danger')
+    visit_danger = _visit_named_admonition
     depart_danger = depart_admonition
-    visit_error = _make_visit_admonition('error')
+    visit_error = _visit_named_admonition
     depart_error = depart_admonition
-    visit_hint = _make_visit_admonition('hint')
+    visit_hint = _visit_named_admonition
     depart_hint = depart_admonition
-    visit_important = _make_visit_admonition('important')
+    visit_important = _visit_named_admonition
     depart_important = depart_admonition
-    visit_note = _make_visit_admonition('note')
+    visit_note = _visit_named_admonition
     depart_note = depart_admonition
-    visit_tip = _make_visit_admonition('tip')
+    visit_tip = _visit_named_admonition
     depart_tip = depart_admonition
-    visit_warning = _make_visit_admonition('warning')
+    visit_warning = _visit_named_admonition
     depart_warning = depart_admonition
 
     # -- Misc
@@ -1741,3 +1741,13 @@ class TexinfoTranslator(SphinxTranslator):
         self.body.append('\n\n@example\n%s\n@end example\n\n' %
                          self.escape_arg(node.astext()))
         raise nodes.SkipNode
+
+    def _make_visit_admonition(name):
+        # type: (unicode) -> Callable[[TexinfoTranslator, nodes.Node], None]
+        warnings.warn('TexinfoTranslator._make_visit_admonition() is deprecated.',
+                      RemovedInSphinx30Warning)
+
+        def visit(self, node):
+            # type: (nodes.Node) -> None
+            self.visit_admonition(node, admonitionlabels[name])
+        return visit