diff --git a/core/src/upgrade/either.rs b/core/src/upgrade/either.rs
index 6eb99bb3..9e6d0742 100644
--- a/core/src/upgrade/either.rs
+++ b/core/src/upgrade/either.rs
@@ -50,9 +50,7 @@ where
 impl<C, A, B, TA, TB, EA, EB> InboundUpgrade<C> for EitherUpgrade<A, B>
 where
     A: InboundUpgrade<C, Output = TA, Error = EA>,
-    <A as InboundUpgrade<C>>::Future: Unpin,
     B: InboundUpgrade<C, Output = TB, Error = EB>,
-    <B as InboundUpgrade<C>>::Future: Unpin,
 {
     type Output = EitherOutput<TA, TB>;
     type Error = EitherError<EA, EB>;
@@ -70,9 +68,7 @@ where
 impl<C, A, B, TA, TB, EA, EB> OutboundUpgrade<C> for EitherUpgrade<A, B>
 where
     A: OutboundUpgrade<C, Output = TA, Error = EA>,
-    <A as OutboundUpgrade<C>>::Future: Unpin,
     B: OutboundUpgrade<C, Output = TB, Error = EB>,
-    <B as OutboundUpgrade<C>>::Future: Unpin,
 {
     type Output = EitherOutput<TA, TB>;
     type Error = EitherError<EA, EB>;
diff --git a/core/src/upgrade/select.rs b/core/src/upgrade/select.rs
index a8ee6504..35d82042 100644
--- a/core/src/upgrade/select.rs
+++ b/core/src/upgrade/select.rs
@@ -76,9 +76,7 @@ where
 impl<C, A, B, TA, TB, EA, EB> OutboundUpgrade<C> for SelectUpgrade<A, B>
 where
     A: OutboundUpgrade<C, Output = TA, Error = EA>,
-    <A as OutboundUpgrade<C>>::Future: Unpin,
     B: OutboundUpgrade<C, Output = TB, Error = EB>,
-    <B as OutboundUpgrade<C>>::Future: Unpin,
 {
     type Output = EitherOutput<TA, TB>;
     type Error = EitherError<EA, EB>;