diff --git a/ciborium/src/de/mod.rs b/ciborium/src/de/mod.rs
index 15545b4..ddfc7b1 100644
--- a/ciborium/src/de/mod.rs
+++ b/ciborium/src/de/mod.rs
@@ -333,6 +333,12 @@ where
                     }
                 }
 
+                // Longer strings require alloaction; delegate to `deserialize_string`
+                item @ Header::Text(_) => {
+                    self.decoder.push(item);
+                    self.deserialize_string(visitor)
+                }
+
                 header => Err(header.expected("str")),
             };
         }
@@ -371,6 +377,12 @@ where
                     visitor.visit_bytes(&self.scratch[..len])
                 }
 
+                // Longer byte sequences require alloaction; delegate to `deserialize_byte_buf`
+                item @ Header::Bytes(_) => {
+                    self.decoder.push(item);
+                    self.deserialize_byte_buf(visitor)
+                }
+
                 Header::Array(len) => self.recurse(|me| {
                     let access = Access(me, len);
                     visitor.visit_seq(access)