diff --git a/packages/deprecated/http/httpcall_tests.js b/packages/deprecated/http/httpcall_tests.js
index f77f56bc49..20a3da63dc 100644
--- a/packages/deprecated/http/httpcall_tests.js
+++ b/packages/deprecated/http/httpcall_tests.js
@@ -467,7 +467,7 @@ if (Meteor.isServer) {
     function (test, expect) {
       // Suppress error printing for this test (and for any other code that sets
       // the x-suppress-error header).
-      WebApp.suppressExpressErrors();
+      WebApp._suppressExpressErrors();
 
       function do_test (path, code, match) {
         const prefix = Meteor.isModern
diff --git a/packages/webapp/webapp.d.ts b/packages/webapp/webapp.d.ts
index f701d4e893..6dbe152088 100644
--- a/packages/webapp/webapp.d.ts
+++ b/packages/webapp/webapp.d.ts
@@ -36,10 +36,14 @@ export declare module WebApp {
   var httpServer: http.Server;
   var expressApp: express.Application;
   /**
-   * @deprecated use suppressExpressErrors instead
+   * Should be used only for testing
+   * @deprecated use _suppressExpressErrors instead
    */
   function suppressConnectErrors(): void;
-  function suppressExpressErrors(): void;
+  /**
+   * Should be used only for testing
+   */
+  function _suppressExpressErrors(): void;
   function onListening(callback: Function): void;
 
   type RuntimeConfigHookCallback = (options: {
diff --git a/packages/webapp/webapp_server.js b/packages/webapp/webapp_server.js
index b7a0cbe058..6764d4ddaf 100644
--- a/packages/webapp/webapp_server.js
+++ b/packages/webapp/webapp_server.js
@@ -1349,6 +1349,8 @@ async function runWebAppServer() {
     suppressExpressErrors = true;
   };
 
+  let warnedAboutConnectUsage = false;
+
   // start up app
   _.extend(WebApp, {
     connectHandlers: packageAndAppHandlers,
@@ -1358,8 +1360,14 @@ async function runWebAppServer() {
     httpServer: httpServer,
     expressApp: app,
     // For testing.
-    suppressConnectErrors: suppressErrors,
-    suppressExpressErrors: suppressErrors,
+    suppressConnectErrors: () => {
+      if (! warnedAboutConnectUsage) {
+        Meteor._debug("WebApp.suppressConnectErrors has been renamed to Meteor._suppressExpressErrors and it should be used only in tests.");
+        warnedAboutConnectUsage = true;
+      }
+      suppressErrors();
+    },
+    _suppressExpressErrors: suppressErrors,
     onListening: function(f) {
       if (onListeningCallbacks) onListeningCallbacks.push(f);
       else f();