diff --git a/packages/babel-plugin-proposal-logical-assignment-operators/src/index.js b/packages/babel-plugin-proposal-logical-assignment-operators/src/index.js
index 813dcd761f7c..b3797f85be36 100644
--- a/packages/babel-plugin-proposal-logical-assignment-operators/src/index.js
+++ b/packages/babel-plugin-proposal-logical-assignment-operators/src/index.js
@@ -39,11 +39,18 @@ export default declare(api => {
           }
         }
 
+        const isRHSAnonymousFunction = t.isFunctionExpression(right, {
+          id: null,
+        });
+        const rightExpression = isRHSAnonymousFunction
+          ? t.sequenceExpression([t.numericLiteral(0), right])
+          : right;
+
         path.replaceWith(
           t.logicalExpression(
             operator.slice(0, -1),
             lhs,
-            t.assignmentExpression("=", left, right),
+            t.assignmentExpression("=", left, rightExpression),
           ),
         );
       },
diff --git a/packages/babel-plugin-proposal-logical-assignment-operators/test/fixtures/logical-assignment/anonymous-function/input.js b/packages/babel-plugin-proposal-logical-assignment-operators/test/fixtures/logical-assignment/anonymous-function/input.js
new file mode 100644
index 000000000000..426a65a92731
--- /dev/null
+++ b/packages/babel-plugin-proposal-logical-assignment-operators/test/fixtures/logical-assignment/anonymous-function/input.js
@@ -0,0 +1,8 @@
+var a;
+console.log((a ||= function () {}).name);
+
+var b = 1;
+console.log((b &&= function () {}).name);
+
+var c;
+console.log((c ??= function () {}).name);
diff --git a/packages/babel-plugin-proposal-logical-assignment-operators/test/fixtures/logical-assignment/anonymous-function/options.json b/packages/babel-plugin-proposal-logical-assignment-operators/test/fixtures/logical-assignment/anonymous-function/options.json
new file mode 100644
index 000000000000..259c77d8e49c
--- /dev/null
+++ b/packages/babel-plugin-proposal-logical-assignment-operators/test/fixtures/logical-assignment/anonymous-function/options.json
@@ -0,0 +1,3 @@
+{
+  "plugins": ["proposal-logical-assignment-operators"]
+}
diff --git a/packages/babel-plugin-proposal-logical-assignment-operators/test/fixtures/logical-assignment/anonymous-function/output.js b/packages/babel-plugin-proposal-logical-assignment-operators/test/fixtures/logical-assignment/anonymous-function/output.js
new file mode 100644
index 000000000000..79297c746323
--- /dev/null
+++ b/packages/babel-plugin-proposal-logical-assignment-operators/test/fixtures/logical-assignment/anonymous-function/output.js
@@ -0,0 +1,6 @@
+var a;
+console.log((a || (a = (0, function () {}))).name);
+var b = 1;
+console.log((b && (b = (0, function () {}))).name);
+var c;
+console.log((c ?? (c = (0, function () {}))).name);