diff --git a/lib/index.cjs b/lib/index.cjs
index b04314774bb93ff76872fd3a54229f0c5189c04c..4ba475083a031781e8bb88fa97085a3e5e0f45d6 100644
--- a/lib/index.cjs
+++ b/lib/index.cjs
@@ -1584,10 +1584,9 @@ var ExportMap = class ExportMap {
 				}
 				for (const s of n.specifiers) processSpecifier(s, n, m);
 			}
-			const exports$1 = ["TSExportAssignment"];
-			if (isEsModuleInteropTrue()) exports$1.push("TSNamespaceExportDeclaration");
-			if (exports$1.includes(n.type)) {
-				const exportedName = n.type === "TSNamespaceExportDeclaration" ? (n.id || n.name).name : "expression" in n && n.expression && ("name" in n.expression && n.expression.name || "id" in n.expression && n.expression.id && n.expression.id.name) || null;
+			if (n.type === "TSExportAssignment") {
+				m.hasExportAssignment = true;
+				const exportedName = "expression" in n && n.expression && ("name" in n.expression && n.expression.name || "id" in n.expression && n.expression.id && n.expression.id.name) || null;
 				const getRoot = (node) => {
 					if (node.left.type === "TSQualifiedName") return getRoot(node.left);
 					return node.left;
@@ -1660,6 +1659,8 @@ var ExportMap = class ExportMap {
 	/** Dependencies of this module that are not explicitly re-exported */
 	imports = new Map();
 	exports = new Map();
+	/** Whether this module has an `export = ns` assignment */
+	hasExportAssignment = false;
 	errors = [];
 	parseGoal = "ambiguous";
 	constructor(path$21) {
@@ -4828,6 +4829,7 @@ var no_named_as_default_member_default = createRule({
 					if (fileImport == null) continue;
 					for (const { propName, node } of lookups) {
 						if (propName === "default") continue;
+						if (fileImport.exportMap.hasExportAssignment) continue;
 						if (!fileImport.exportMap.namespace.has(propName)) continue;
 						context.report({
 							node,
@@ -4873,6 +4875,7 @@ var no_named_as_default_default = createRule({
 				}
 				if (!exportMapOfImported.hasDefault) return;
 				if (!exportMapOfImported.has(nameValue)) return;
+				if (exportMapOfImported.hasExportAssignment) return;
 				if (exportMapOfImported.exports.has("default") && exportMapOfImported.exports.has(nameValue)) context.report({
 					node: defaultSpecifier,
 					messageId: "default",
diff --git a/lib/rules/no-named-as-default-member.js b/lib/rules/no-named-as-default-member.js
index 3aae00046b68d3ac47549b9570529e867e3c1a88..59452aa7fa42b592c28ccf415c1bba5972f1b027 100644
--- a/lib/rules/no-named-as-default-member.js
+++ b/lib/rules/no-named-as-default-member.js
@@ -68,6 +68,9 @@ export default createRule({
                         if (propName === 'default') {
                             continue;
                         }
+                        if (fileImport.exportMap.hasExportAssignment) {
+                            continue;
+                        }
                         if (!fileImport.exportMap.namespace.has(propName)) {
                             continue;
                         }
diff --git a/lib/rules/no-named-as-default.js b/lib/rules/no-named-as-default.js
index cc08f38f05647d150e24e0b596c2caeeecdd362f..5b79fe484ac6ca4975f07c3ce2c8127188d01d07 100644
--- a/lib/rules/no-named-as-default.js
+++ b/lib/rules/no-named-as-default.js
@@ -35,6 +35,9 @@ export default createRule({
                 if (!exportMapOfImported.has(nameValue)) {
                     return;
                 }
+                if (exportMapOfImported.hasExportAssignment) {
+                    return;
+                }
                 if (exportMapOfImported.exports.has('default') &&
                     exportMapOfImported.exports.has(nameValue)) {
                     context.report({
diff --git a/lib/utils/export-map.d.ts b/lib/utils/export-map.d.ts
index 2c93f36928ba2aa7ffd4e78ebc3111833c9e09d4..0133cac6af6d40734715f987141835ea2e4f8d7a 100644
--- a/lib/utils/export-map.d.ts
+++ b/lib/utils/export-map.d.ts
@@ -29,6 +29,7 @@ export declare class ExportMap {
     dependencies: Set<() => ExportMap | null>;
     imports: Map<string, ModuleImport>;
     exports: Map<string, TSESTree.Identifier | TSESTree.ProgramStatement>;
+    hasExportAssignment: boolean;
     errors: ParseError[];
     parseGoal: 'ambiguous' | 'Module' | 'Script';
     visitorKeys: TSESLint.SourceCode.VisitorKeys | null;
diff --git a/lib/utils/export-map.js b/lib/utils/export-map.js
index 1595cf11112adf7d40cf947e8b92c489ef386bd2..c1cf2cb33081b314298ece64267be95744ad346e 100644
--- a/lib/utils/export-map.js
+++ b/lib/utils/export-map.js
@@ -343,21 +343,15 @@ export class ExportMap {
                     processSpecifier(s, n, m);
                 }
             }
-            const exports = ['TSExportAssignment'];
-            if (isEsModuleInteropTrue()) {
-                exports.push('TSNamespaceExportDeclaration');
-            }
-            if (exports.includes(n.type)) {
-                const exportedName = n.type === 'TSNamespaceExportDeclaration'
-                    ? (n.id ||
-                        n.name).name
-                    : ('expression' in n &&
-                        n.expression &&
-                        (('name' in n.expression && n.expression.name) ||
-                            ('id' in n.expression &&
-                                n.expression.id &&
-                                n.expression.id.name))) ||
-                        null;
+            if (n.type === 'TSExportAssignment') {
+                m.hasExportAssignment = true;
+                const exportedName = ('expression' in n &&
+                    n.expression &&
+                    (('name' in n.expression && n.expression.name) ||
+                        ('id' in n.expression &&
+                            n.expression.id &&
+                            n.expression.id.name))) ||
+                    null;
                 const getRoot = (node) => {
                     if (node.left.type === 'TSQualifiedName') {
                         return getRoot(node.left);
@@ -470,6 +464,7 @@ export class ExportMap {
         this.dependencies = new Set();
         this.imports = new Map();
         this.exports = new Map();
+        this.hasExportAssignment = false;
         this.errors = [];
         this.parseGoal = 'ambiguous';
     }