diff --git a/packages/rest-explorer/src/__tests__/acceptance/rest-explorer.acceptance.ts b/packages/rest-explorer/src/__tests__/acceptance/rest-explorer.acceptance.ts
index dc27d939a174..53c7c011c036 100644
--- a/packages/rest-explorer/src/__tests__/acceptance/rest-explorer.acceptance.ts
+++ b/packages/rest-explorer/src/__tests__/acceptance/rest-explorer.acceptance.ts
@@ -20,6 +20,11 @@ describe('API Explorer (acceptance)', () => {
   let app: RestApplication;
   let request: Client;
 
+  afterEach(async () => {
+    if (app) await app.stop();
+    (app as unknown) = undefined;
+  });
+
   context('with default config', () => {
     beforeEach(async () => {
       app = givenRestApplication();
@@ -109,6 +114,26 @@ describe('API Explorer (acceptance)', () => {
     }
   });
 
+  context('with custom basePath', () => {
+    beforeEach(async () => {
+      app = givenRestApplication();
+      app.basePath('/api');
+      app.component(RestExplorerComponent);
+      await app.start();
+      request = createRestAppClient(app);
+    });
+
+    it('uses correct URLs', async () => {
+      // static assets (including swagger-ui) honor basePath
+      await request
+        .get('/api/explorer/')
+        .expect(200)
+        .expect('content-type', /html/)
+        // OpenAPI endpoints DO NOT honor basePath
+        .expect(/url\: '\/openapi\.json'\,/);
+    });
+  });
+
   function givenRestApplication(config?: RestServerConfig) {
     const rest = Object.assign({}, givenHttpServerConfig(), config);
     return new RestApplication({rest});
diff --git a/packages/rest-explorer/src/__tests__/acceptance/rest-explorer.express.acceptance.ts b/packages/rest-explorer/src/__tests__/acceptance/rest-explorer.express.acceptance.ts
index 60a1962be6fe..97c0a8dbd9b6 100644
--- a/packages/rest-explorer/src/__tests__/acceptance/rest-explorer.express.acceptance.ts
+++ b/packages/rest-explorer/src/__tests__/acceptance/rest-explorer.express.acceptance.ts
@@ -3,12 +3,7 @@
 // This file is licensed under the MIT License.
 // License text available at https://opensource.org/licenses/MIT
 
-import {
-  HttpRequestListener,
-  RestApplication,
-  RestServer,
-  RestServerConfig,
-} from '@loopback/rest';
+import {RestApplication, RestServer, RestServerConfig} from '@loopback/rest';
 import {
   Client,
   createClientForHandler,
@@ -21,7 +16,6 @@ describe('REST Explorer mounted as an express router', () => {
   let client: Client;
   let expressApp: express.Application;
   let server: RestServer;
-  let handler: HttpRequestListener;
   beforeEach(givenLoopBackApp);
   beforeEach(givenExpressApp);
   beforeEach(givenClient);
@@ -41,6 +35,17 @@ describe('REST Explorer mounted as an express router', () => {
       .expect('location', '/api/explorer/');
   });
 
+  it('honors basePath config', async () => {
+    server.basePath('/v1');
+    await client
+      // static assets (including swagger-ui) honor basePath
+      .get('/api/v1/explorer/')
+      .expect(200)
+      .expect('content-type', /html/)
+      // OpenAPI endpoints DO NOT honor basePath
+      .expect(/url\: '\/api\/openapi\.json'\,/);
+  });
+
   async function givenLoopBackApp(
     options: {rest: RestServerConfig} = {rest: {port: 0}},
   ) {
@@ -48,7 +53,6 @@ describe('REST Explorer mounted as an express router', () => {
     const app = new RestApplication(options);
     app.component(RestExplorerComponent);
     server = await app.getServer(RestServer);
-    handler = server.requestHandler;
   }
 
   /**
@@ -56,7 +60,10 @@ describe('REST Explorer mounted as an express router', () => {
    */
   function givenExpressApp() {
     expressApp = express();
-    expressApp.use('/api', handler);
+    expressApp.use('/api', (req, res, _next) => {
+      // defer calling of `server.requestHandler` until a request arrives
+      server.requestHandler(req, res);
+    });
   }
 
   function givenClient() {
diff --git a/packages/rest-explorer/src/rest-explorer.controller.ts b/packages/rest-explorer/src/rest-explorer.controller.ts
index 149b7fe4f8c9..acc67b893407 100644
--- a/packages/rest-explorer/src/rest-explorer.controller.ts
+++ b/packages/rest-explorer/src/rest-explorer.controller.ts
@@ -5,11 +5,11 @@
 
 import {inject} from '@loopback/context';
 import {
-  RestBindings,
-  RestServerConfig,
   OpenApiSpecForm,
   Request,
   Response,
+  RestBindings,
+  RestServerConfig,
 } from '@loopback/rest';
 import * as ejs from 'ejs';
 import * as fs from 'fs';
@@ -26,6 +26,7 @@ export class ExplorerController {
   constructor(
     @inject(RestBindings.CONFIG, {optional: true})
     restConfig: RestServerConfig = {},
+    @inject(RestBindings.BASE_PATH) private serverBasePath: string,
     @inject(RestBindings.Http.REQUEST) private request: Request,
     @inject(RestBindings.Http.RESPONSE) private response: Response,
   ) {
@@ -39,8 +40,20 @@ export class ExplorerController {
 
   index() {
     let openApiSpecUrl = this.openApiSpecUrl;
-    if (this.request.baseUrl && this.request.baseUrl !== '/') {
-      openApiSpecUrl = this.request.baseUrl + openApiSpecUrl;
+
+    // baseURL is composed from mountPath and basePath
+    // OpenAPI endpoints ignore basePath but do honor mountPath
+    let rootPath = this.request.baseUrl;
+    if (
+      this.serverBasePath &&
+      this.serverBasePath !== '/' &&
+      rootPath.endsWith(this.serverBasePath)
+    ) {
+      rootPath = rootPath.slice(0, -this.serverBasePath.length);
+    }
+
+    if (rootPath && rootPath !== '/') {
+      openApiSpecUrl = rootPath + openApiSpecUrl;
     }
     const data = {
       openApiSpecUrl,