diff --git a/lisp/ox.el b/lisp/ox.el
index bc56414e4..83dc6d09d 100644
--- a/lisp/ox.el
+++ b/lisp/ox.el
@@ -5199,14 +5199,11 @@ all of them."
 	 ;; to a secondary string.  We check the latter option
 	 ;; first.
 	 (let ((parent (org-export-get-parent blob)))
-	   (or (and (not (memq (org-element-type blob)
-			       org-element-all-elements))
-		    (let ((sec-value
-			   (org-element-property
-			    (cdr (assq (org-element-type parent)
-				       org-element-secondary-value-alist))
-			    parent)))
-		      (and (memq blob sec-value) sec-value)))
+	   (or (let ((sec-value (org-element-property
+				 (cdr (assq (org-element-type parent)
+					    org-element-secondary-value-alist))
+				 parent)))
+		 (and (memq blob sec-value) sec-value))
 	       (org-element-contents parent))))
 	prev)
     (catch 'exit
@@ -5234,14 +5231,11 @@ them."
 	 ;; An object can belong to the contents of its parent or to
 	 ;; a secondary string.  We check the latter option first.
 	 (let ((parent (org-export-get-parent blob)))
-	   (or (and (not (memq (org-element-type blob)
-			       org-element-all-objects))
-		    (let ((sec-value
-			   (org-element-property
-			    (cdr (assq (org-element-type parent)
-				       org-element-secondary-value-alist))
-			    parent)))
-		      (cdr (memq blob sec-value))))
+	   (or (let ((sec-value (org-element-property
+				 (cdr (assq (org-element-type parent)
+					    org-element-secondary-value-alist))
+				 parent)))
+		 (cdr (memq blob sec-value)))
 	       (cdr (memq blob (org-element-contents parent))))))
 	next)
     (catch 'exit
diff --git a/testing/lisp/test-ox.el b/testing/lisp/test-ox.el
index 1aba00da9..47fc3d13f 100644
--- a/testing/lisp/test-ox.el
+++ b/testing/lisp/test-ox.el
@@ -2752,6 +2752,12 @@ Another text. (ref:text)
 	 (org-element-type
 	  (org-export-get-next-element
 	   (org-element-map tree 'plain-text 'identity info t) info)))))
+  (should
+   (eq 'verbatim
+       (org-test-with-parsed-data "* /italic/ =verb="
+	 (org-element-type
+	  (org-export-get-next-element
+	   (org-element-map tree 'italic 'identity info t) info)))))
   ;; Find next element in document keywords.
   (should
    (eq 'verbatim
@@ -2812,6 +2818,12 @@ Another text. (ref:text)
 	 (org-element-type
 	  (org-export-get-previous-element
 	   (org-element-map tree 'plain-text 'identity info t) info)))))
+  (should
+   (eq 'verbatim
+       (org-test-with-parsed-data "* =verb= /italic/"
+	 (org-element-type
+	  (org-export-get-previous-element
+	   (org-element-map tree 'italic 'identity info t) info)))))
   ;; Find previous element in document keywords.
   (should
    (eq 'verbatim