diff --git a/tests/ui/not_unpin/conflict-unpin.stderr b/tests/ui/not_unpin/conflict-unpin.stderr
index b8a8abc9..dbd785ae 100644
--- a/tests/ui/not_unpin/conflict-unpin.stderr
+++ b/tests/ui/not_unpin/conflict-unpin.stderr
@@ -6,8 +6,6 @@ error[E0119]: conflicting implementations of trait `Unpin` for type `Foo<_, _>`
 ...
 12 | impl<T, U> Unpin for Foo<T, U> where T: Unpin {}
    | --------------------------------------------- first implementation here
-   |
-   = note: upstream crates may add a new impl of trait `std::marker::Unpin` for type `_::_pin_project::__private::Wrapper<'_, std::marker::PhantomPinned>` in future versions
 
 error[E0119]: conflicting implementations of trait `Unpin` for type `Bar<_, _>`
   --> tests/ui/not_unpin/conflict-unpin.rs:14:15
@@ -17,8 +15,6 @@ error[E0119]: conflicting implementations of trait `Unpin` for type `Bar<_, _>`
 ...
 21 | impl<T, U> Unpin for Bar<T, U> {}
    | ------------------------------ first implementation here
-   |
-   = note: upstream crates may add a new impl of trait `std::marker::Unpin` for type `_::_pin_project::__private::Wrapper<'_, std::marker::PhantomPinned>` in future versions
 
 error[E0119]: conflicting implementations of trait `Unpin` for type `Baz<_, _>`
   --> tests/ui/not_unpin/conflict-unpin.rs:23:15
@@ -28,5 +24,3 @@ error[E0119]: conflicting implementations of trait `Unpin` for type `Baz<_, _>`
 ...
 30 | impl<T: Unpin, U: Unpin> Unpin for Baz<T, U> {}
    | -------------------------------------------- first implementation here
-   |
-   = note: upstream crates may add a new impl of trait `std::marker::Unpin` for type `_::_pin_project::__private::Wrapper<'_, std::marker::PhantomPinned>` in future versions
diff --git a/tests/ui/not_unpin/impl-unsafe-unpin.stderr b/tests/ui/not_unpin/impl-unsafe-unpin.stderr
index c889feb2..f00aa5c7 100644
--- a/tests/ui/not_unpin/impl-unsafe-unpin.stderr
+++ b/tests/ui/not_unpin/impl-unsafe-unpin.stderr
@@ -7,7 +7,6 @@ error[E0119]: conflicting implementations of trait `UnsafeUnpin` for type `Foo<_
 12 | unsafe impl<T, U> UnsafeUnpin for Foo<T, U> where T: Unpin {}
    | ---------------------------------------------------------- first implementation here
    |
-   = note: upstream crates may add a new impl of trait `std::marker::Unpin` for type `_::_pin_project::__private::Wrapper<'_, std::marker::PhantomPinned>` in future versions
    = note: this error originates in the derive macro `::pin_project::__private::__PinProjectInternalDerive` (in Nightly builds, run with -Z macro-backtrace for more info)
 
 error[E0119]: conflicting implementations of trait `UnsafeUnpin` for type `Bar<_, _>`
@@ -19,7 +18,6 @@ error[E0119]: conflicting implementations of trait `UnsafeUnpin` for type `Bar<_
 21 | unsafe impl<T, U> UnsafeUnpin for Bar<T, U> {}
    | ------------------------------------------- first implementation here
    |
-   = note: upstream crates may add a new impl of trait `std::marker::Unpin` for type `_::_pin_project::__private::Wrapper<'_, std::marker::PhantomPinned>` in future versions
    = note: this error originates in the derive macro `::pin_project::__private::__PinProjectInternalDerive` (in Nightly builds, run with -Z macro-backtrace for more info)
 
 error[E0119]: conflicting implementations of trait `UnsafeUnpin` for type `Baz<_, _>`
@@ -31,5 +29,4 @@ error[E0119]: conflicting implementations of trait `UnsafeUnpin` for type `Baz<_
 30 | unsafe impl<T: Unpin, U: Unpin> UnsafeUnpin for Baz<T, U> {}
    | --------------------------------------------------------- first implementation here
    |
-   = note: upstream crates may add a new impl of trait `std::marker::Unpin` for type `_::_pin_project::__private::Wrapper<'_, std::marker::PhantomPinned>` in future versions
    = note: this error originates in the derive macro `::pin_project::__private::__PinProjectInternalDerive` (in Nightly builds, run with -Z macro-backtrace for more info)