diff --git a/src/proto/h1/dispatch.rs b/src/proto/h1/dispatch.rs
index be0a88c1f9..a9236fe851 100644
--- a/src/proto/h1/dispatch.rs
+++ b/src/proto/h1/dispatch.rs
@@ -108,8 +108,6 @@ where
     /// This is useful for old-style HTTP upgrades, but ignores
     /// newer-style upgrade API.
     pub(crate) fn poll_without_shutdown(&mut self, cx: &mut Context<'_>) -> Poll<crate::Result<()>>
-    where
-        Self: Unpin,
     {
         Pin::new(self).poll_catch(cx, false).map_ok(|ds| {
             if let Dispatched::Upgrade(pending) = ds {
diff --git a/src/server/conn/http1.rs b/src/server/conn/http1.rs
index cf22316296..cfe374466d 100644
--- a/src/server/conn/http1.rs
+++ b/src/server/conn/http1.rs
@@ -166,7 +166,6 @@ where
     where
         S: Unpin,
         S::Future: Unpin,
-        B: Unpin,
     {
         self.conn.poll_without_shutdown(cx)
     }
@@ -178,10 +177,6 @@ where
     ///
     /// This errors if the underlying connection protocol is not HTTP/1.
     pub fn without_shutdown(self) -> impl Future<Output = crate::Result<Parts<I, S>>>
-    where
-        S: Unpin,
-        S::Future: Unpin,
-        B: Unpin,
     {
         let mut zelf = Some(self);
         futures_util::future::poll_fn(move |cx| {