diff --git a/src/js_parser/visit/visit_binary.rs b/src/js_parser/visit/visit_binary.rs
index e86ba8da5398..5aac0f05ad35 100644
--- a/src/js_parser/visit/visit_binary.rs
+++ b/src/js_parser/visit/visit_binary.rs
@@ -120,8 +120,16 @@ impl BinaryExpressionVisitor {
         let was_anonymous_named_expr = e_.right.is_anonymous_named();
         let prev_decorator_class_name = p.decorator_class_name;
 
-        // Propagate name for anonymous decorated class expressions in assignments
-        if e_.op == Op::Code::BinAssign && was_anonymous_named_expr {
+        // Only these four assignment operators perform NamedEvaluation of the right operand.
+        if was_anonymous_named_expr
+            && matches!(
+                e_.op,
+                Op::Code::BinAssign
+                    | Op::Code::BinNullishCoalescingAssign
+                    | Op::Code::BinLogicalOrAssign
+                    | Op::Code::BinLogicalAndAssign
+            )
+        {
             if let ExprData::EClass(class) = &e_.right.data {
                 if class.should_lower_standard_decorators {
                     if let ExprData::EIdentifier(ident) = e_.left.data {
diff --git a/test/bundler/transpiler/es-decorators.test.ts b/test/bundler/transpiler/es-decorators.test.ts
index 41845a031c45..bc70cb6341c9 100644
--- a/test/bundler/transpiler/es-decorators.test.ts
+++ b/test/bundler/transpiler/es-decorators.test.ts
@@ -1396,4 +1396,123 @@ describe("ES Decorators", () => {
       expect(exitCode).toBe(0);
     });
   });
+
+  describe("anonymous decorated class assigned with a logical assignment operator", () => {
+    // `x ??= class {}` names the class "x" exactly like `x = class {}` does (the
+    // same goes for `||=` and `&&=`). The lowering rewrites the class to
+    // `_class = class {}`, so the parser has to record the target name for these
+    // operators the way it already does for `=`. The expected `.name` values are
+    // what node prints for the same code with the decorators (and the `accessor`
+    // member, which node does not parse) removed.
+    test.concurrent("??=, ||= and &&= name the class after the identifier target", async () => {
+      const { stdout, stderr, exitCode } = await runDecorator(`
+        function dec() {}
+        let Nullish; Nullish ??= class { @dec m() {} };
+        let Or = null; Or ||= class { @dec m() {} };
+        let And = 1; And &&= class { @dec m() {} };
+        let Assigned; Assigned = class { @dec m() {} };
+        let Outer, Inner; Outer = Inner ??= class { @dec m() {} };
+        let InFunction; (() => { InFunction ||= class { @dec m() {} }; })();
+        let AccessorOnly; AccessorOnly ??= class { accessor v = 1; };
+        console.log(JSON.stringify({
+          nullish: Nullish.name,
+          or: Or.name,
+          and: And.name,
+          assigned: Assigned.name,
+          chained: Outer.name,
+          inFunction: InFunction.name,
+          accessorOnly: [AccessorOnly.name, new AccessorOnly().v],
+        }));
+      `);
+      expect(stderr).toBe("");
+      expect(JSON.parse(stdout)).toEqual({
+        nullish: "Nullish",
+        or: "Or",
+        and: "And",
+        assigned: "Assigned",
+        chained: "Inner",
+        inFunction: "InFunction",
+        accessorOnly: ["AccessorOnly", 1],
+      });
+      expect(exitCode).toBe(0);
+    });
+
+    test.concurrent("class decorator sees the target name as context.name", async () => {
+      const { stdout, stderr, exitCode } = await runDecorator(`
+        const contextNames = [];
+        function dec(cls, ctx) { contextNames.push(ctx.name); }
+        let Nullish; Nullish ??= @dec class {};
+        let Or = null; Or ||= @dec class {};
+        let And = 1; And &&= @dec class {};
+        console.log(JSON.stringify({
+          contextNames,
+          classNames: [Nullish.name, Or.name, And.name],
+        }));
+      `);
+      expect(stderr).toBe("");
+      expect(JSON.parse(stdout)).toEqual({
+        contextNames: ["Nullish", "Or", "And"],
+        classNames: ["Nullish", "Or", "And"],
+      });
+      expect(exitCode).toBe(0);
+    });
+
+    test.concurrent("the target name is only used for an anonymous class directly on the right", async () => {
+      const { stdout, stderr, exitCode } = await runDecorator(`
+        const contextNames = [];
+        function dec(cls, ctx) { contextNames.push(ctx.name); }
+        let Explicit; Explicit ??= @dec class Named {};
+        const holder = {}; holder.member ??= @dec class {};
+        let Nested; Nested ||= [@dec class {}][0];
+        let Concatenated = ""; Concatenated += @dec class {};
+        console.log(JSON.stringify({
+          classNames: [Explicit.name, holder.member.name, Nested.name],
+          contextNames,
+        }));
+      `);
+      expect(stderr).toBe("");
+      expect(JSON.parse(stdout)).toEqual({
+        classNames: ["Named", "", ""],
+        contextNames: ["Named", "", "", ""],
+      });
+      expect(exitCode).toBe(0);
+    });
+
+    test.concurrent("the class body still refers to the variable being assigned", async () => {
+      // Recording the target name must not introduce a class binding of that
+      // name: `Or` inside the body is the outer variable, as in the source and
+      // as node prints for this program with the decorators removed.
+      const { stdout, stderr, exitCode } = await runDecorator(`
+        function dec() {}
+        function replace(cls) { return class extends cls {}; }
+        let Or = null;
+        Or ||= class { static seenDuringDefinition = Or; @dec m() { return Or; } };
+        const OrOriginal = Or;
+        Or = "reassigned";
+        let And = 1;
+        And &&= class { static seenDuringDefinition = And; @dec m() {} };
+        let Replaced;
+        Replaced ??= @replace class { static self() { return Replaced; } };
+        let Assigned;
+        Assigned ??= class { @dec m() { Assigned = "assigned from the body"; } };
+        new Assigned().m();
+        console.log(JSON.stringify({
+          names: [OrOriginal.name, And.name],
+          seenDuringDefinition: [OrOriginal.seenDuringDefinition === null, And.seenDuringDefinition === 1],
+          methodSeesReassignment: new OrOriginal().m(),
+          bodySeesReplacement: Replaced.self() === Replaced,
+          assigned: Assigned,
+        }));
+      `);
+      expect(stderr).toBe("");
+      expect(JSON.parse(stdout)).toEqual({
+        names: ["Or", "And"],
+        seenDuringDefinition: [true, true],
+        methodSeesReassignment: "reassigned",
+        bodySeesReplacement: true,
+        assigned: "assigned from the body",
+      });
+      expect(exitCode).toBe(0);
+    });
+  });
 });