diff --git a/src/blocking/request.rs b/src/blocking/request.rs
index 9acc1e16a..8ac112444 100644
--- a/src/blocking/request.rs
+++ b/src/blocking/request.rs
@@ -211,7 +211,12 @@ impl RequestBuilder {
             match <HeaderName as TryFrom<K>>::try_from(key) {
                 Ok(key) => match <HeaderValue as TryFrom<V>>::try_from(value) {
                     Ok(mut value) => {
-                        value.set_sensitive(sensitive);
+                        // We want to potentially make an unsensitive header
+                        // to be sensitive, not the reverse. So, don't turn off
+                        // a previously sensitive header.
+                        if sensitive {
+                            value.set_sensitive(true);
+                        }
                         req.headers_mut().append(key, value);
                     }
                     Err(e) => error = Some(crate::error::builder(e.into())),