diff --git a/crates/turbo-tasks-memory/src/output.rs b/crates/turbo-tasks-memory/src/output.rs
index 43f50580c1fb7..d1c83f7ef216a 100644
--- a/crates/turbo-tasks-memory/src/output.rs
+++ b/crates/turbo-tasks-memory/src/output.rs
@@ -56,7 +56,17 @@ impl Output {
 
     pub fn link(&mut self, target: RawVc, turbo_tasks: &dyn TurboTasksBackendApi<MemoryBackend>) {
         debug_assert!(*self != target);
-        self.assign(OutputContent::Link(target), turbo_tasks)
+        if let OutputContent::Link(old_target) = &self.content {
+            if *old_target == target {
+                // unchanged
+                return;
+            }
+        }
+        self.content = OutputContent::Link(target);
+        // notify
+        if !self.dependent_tasks.is_empty() {
+            turbo_tasks.schedule_notify_tasks_set(&take(&mut self.dependent_tasks));
+        }
     }
 
     pub fn error(&mut self, error: Error, turbo_tasks: &dyn TurboTasksBackendApi<MemoryBackend>) {
@@ -79,18 +89,6 @@ impl Output {
         }
     }
 
-    pub fn assign(
-        &mut self,
-        content: OutputContent,
-        turbo_tasks: &dyn TurboTasksBackendApi<MemoryBackend>,
-    ) {
-        self.content = content;
-        // notify
-        if !self.dependent_tasks.is_empty() {
-            turbo_tasks.schedule_notify_tasks_set(&take(&mut self.dependent_tasks));
-        }
-    }
-
     pub fn gc_drop(self, turbo_tasks: &dyn TurboTasksBackendApi<MemoryBackend>) {
         // notify
         if !self.dependent_tasks.is_empty() {
diff --git a/crates/turbopack-core/src/source_map/mod.rs b/crates/turbopack-core/src/source_map/mod.rs
index 2af9fcbef4717..98031567bd621 100644
--- a/crates/turbopack-core/src/source_map/mod.rs
+++ b/crates/turbopack-core/src/source_map/mod.rs
@@ -43,7 +43,7 @@ pub trait GenerateSourceMap {
 /// The distinction between the source map spec's [sourcemap::Index] and our
 /// [SourceMap::Sectioned] is whether the sections are represented with Vcs
 /// pointers.
-#[turbo_tasks::value(shared)]
+#[turbo_tasks::value(shared, cell = "new")]
 pub enum SourceMap {
     /// A decoded source map contains no Vcs.
     Decoded(#[turbo_tasks(trace_ignore)] InnerSourceMap),
diff --git a/crates/turbopack-css/src/process.rs b/crates/turbopack-css/src/process.rs
index 23a901ecd97f5..202a309261f97 100644
--- a/crates/turbopack-css/src/process.rs
+++ b/crates/turbopack-css/src/process.rs
@@ -274,7 +274,7 @@ impl<'i, 'o> StyleSheetLike<'i, 'o> {
 #[turbo_tasks::value(transparent)]
 pub struct UnresolvedUrlReferences(pub Vec<(String, Vc<UrlAssetReference>)>);
 
-#[turbo_tasks::value(shared, serialization = "none", eq = "manual")]
+#[turbo_tasks::value(shared, serialization = "none", eq = "manual", cell = "new")]
 pub enum ParseCssResult {
     Ok {
         #[turbo_tasks(debug_ignore, trace_ignore)]
@@ -296,13 +296,7 @@ pub enum ParseCssResult {
     NotFound,
 }
 
-impl PartialEq for ParseCssResult {
-    fn eq(&self, _: &Self) -> bool {
-        false
-    }
-}
-
-#[turbo_tasks::value(shared, serialization = "none", eq = "manual")]
+#[turbo_tasks::value(shared, serialization = "none", eq = "manual", cell = "new")]
 pub enum CssWithPlaceholderResult {
     Ok {
         parse_result: Vc<ParseCssResult>,
@@ -324,12 +318,6 @@ pub enum CssWithPlaceholderResult {
     NotFound,
 }
 
-impl PartialEq for CssWithPlaceholderResult {
-    fn eq(&self, _: &Self) -> bool {
-        false
-    }
-}
-
 #[turbo_tasks::value(shared, serialization = "none", eq = "manual")]
 pub enum FinalCssResult {
     Ok {
@@ -390,10 +378,10 @@ pub async fn process_css_with_placeholder(
                 url_references: *url_references,
                 placeholders: HashMap::new(),
             }
-            .into())
+            .cell())
         }
-        ParseCssResult::Unparseable => Ok(CssWithPlaceholderResult::Unparseable.into()),
-        ParseCssResult::NotFound => Ok(CssWithPlaceholderResult::NotFound.into()),
+        ParseCssResult::Unparseable => Ok(CssWithPlaceholderResult::Unparseable.cell()),
+        ParseCssResult::NotFound => Ok(CssWithPlaceholderResult::NotFound.cell()),
     }
 }
 
@@ -602,7 +590,7 @@ async fn process_content(
                                 }
                                 .cell()
                                 .emit();
-                                return Ok(ParseCssResult::Unparseable.into());
+                                return Ok(ParseCssResult::Unparseable.cell());
                             }
 
                             _ => {
@@ -629,7 +617,7 @@ async fn process_content(
                     }
                     .cell()
                     .emit();
-                    return Ok(ParseCssResult::Unparseable.into());
+                    return Ok(ParseCssResult::Unparseable.cell());
                 }
             }
         })
@@ -669,12 +657,12 @@ async fn process_content(
             Ok(v) => v,
             Err(err) => {
                 err.to_diagnostics(&handler).emit();
-                return Ok(ParseCssResult::Unparseable.into());
+                return Ok(ParseCssResult::Unparseable.cell());
             }
         };
 
         if handler.has_errors() {
-            return Ok(ParseCssResult::Unparseable.into());
+            return Ok(ParseCssResult::Unparseable.cell());
         }
 
         if matches!(ty, CssModuleAssetType::Module) {
@@ -722,7 +710,7 @@ async fn process_content(
         url_references: Vc::cell(url_references),
         options: config,
     }
-    .into())
+    .cell())
 }
 
 /// Visitor that lints wrong css module usage.