diff --git a/test/cross.auto_refresh.test.js b/test/cross.auto_refresh.test.js
index 2b0ebf2d..65001c8d 100644
--- a/test/cross.auto_refresh.test.js
+++ b/test/cross.auto_refresh.test.js
@@ -896,12 +896,12 @@ addTestCases((name, transferMethod, setupFunc, setupArgs = []) => {
 
             assert(
                 consoleLogs.includes(
-                    "Saving to cookies was not successful, this indicates a configuration error or the browser preventing us from writing the cookies (e.g.: incognito mode)."
+                    "Saving to cookies was not successful, this indicates a configuration error or the browser preventing us from writing the cookies."
                 )
             );
             assert(
                 consoleLogs.includes(
-                    "Failed to retrieve local session state from cookies after a successful session refresh. This indicates a configuration error or that the browser is preventing cookie writes (e.g., incognito mode)."
+                    "Failed to retrieve local session state from cookies after a successful session refresh. This indicates a configuration error or that the browser is preventing cookie writes."
                 )
             );
         });
diff --git a/test/interception.basic1.test.js b/test/interception.basic1.test.js
index c2db9207..587d122a 100644
--- a/test/interception.basic1.test.js
+++ b/test/interception.basic1.test.js
@@ -280,13 +280,18 @@ addTestCases((name, transferMethod, setupFunc, setupArgs = []) => {
             assert(
                 logs.some(str =>
                     str.includes(
-                        "Saving to cookies was not successful, this indicates a configuration error or the browser preventing us from writing the cookies (e.g.: incognito mode)."
+                        "Saving to cookies was not successful, this indicates a configuration error or the browser preventing us from writing the cookies."
                     )
                 )
             );
 
             const cookies = await page.cookies();
-            assert.strictEqual(cookies.length, 0);
+            // Assert that none of the frontend cookies are set
+            const frontendCookies =
+                transferMethod === "cookie"
+                    ? ["sAntiCsrf", "sFrontToken", "st-last-access-token-update"]
+                    : ["sFrontToken", "st-last-access-token-update", "st-access-token", "st-refresh-token"];
+            assert(frontendCookies.every(cookieName => !cookies.find(cookie => cookie.name === cookieName)));
         });
 
         it("test rid is there", async function () {