diff --git a/docshell/test/mochitest/test_bug1740516.html b/docshell/test/mochitest/test_bug1740516.html
index b54932c736ba..9f7b69abad6e 100644
--- a/docshell/test/mochitest/test_bug1740516.html
+++ b/docshell/test/mochitest/test_bug1740516.html
@@ -26,6 +26,8 @@
       });
     }
     async function runTest() {
+      await SimpleTest.enableLegacyUnpartitionedStorage();
+
       let outerBC = new BroadcastChannel("bug1740516_1");
       let innerBC = new BroadcastChannel("bug1740516_1_inner");
 
diff --git a/docshell/test/mochitest/test_bug1741132.html b/docshell/test/mochitest/test_bug1741132.html
index 1ae9727d9c34..7d147ae597e3 100644
--- a/docshell/test/mochitest/test_bug1741132.html
+++ b/docshell/test/mochitest/test_bug1741132.html
@@ -11,7 +11,9 @@
 
     SimpleTest.waitForExplicitFinish();
 
-    function runTest() {
+    async function runTest() {
+      await SimpleTest.enableLegacyUnpartitionedStorage();
+
       let bc = new BroadcastChannel("bug1741132");
 
       // Setting the pref to 0 should evict all content viewers.
diff --git a/docshell/test/mochitest/test_bug1743353.html b/docshell/test/mochitest/test_bug1743353.html
index a5d88df3f62d..3480f2c243ac 100644
--- a/docshell/test/mochitest/test_bug1743353.html
+++ b/docshell/test/mochitest/test_bug1743353.html
@@ -8,7 +8,9 @@
   <script>
     SimpleTest.waitForExplicitFinish();
 
-    function runTest() {
+    async function runTest() {
+      await SimpleTest.enableLegacyUnpartitionedStorage();
+
       let bc = new BroadcastChannel("bug1743353");
       new Promise((resolve) => {
         bc.addEventListener("message", () => {
diff --git a/docshell/test/mochitest/test_bug1747033.html b/docshell/test/mochitest/test_bug1747033.html
index 539b78fec05a..dc65c83e01f4 100644
--- a/docshell/test/mochitest/test_bug1747033.html
+++ b/docshell/test/mochitest/test_bug1747033.html
@@ -8,7 +8,9 @@
   <script>
     SimpleTest.waitForExplicitFinish();
 
-    function runTest() {
+    async function runTest() {
+      await SimpleTest.enableLegacyUnpartitionedStorage();
+
       let bc = new BroadcastChannel("bug1747033");
       new Promise(resolve => {
         bc.addEventListener("message", ({ data: { historyLength } }) => {
diff --git a/docshell/test/mochitest/test_bug1773192.html b/docshell/test/mochitest/test_bug1773192.html
index d4c42dc1a778..857ba71c3c0d 100644
--- a/docshell/test/mochitest/test_bug1773192.html
+++ b/docshell/test/mochitest/test_bug1773192.html
@@ -21,6 +21,8 @@
       });
     }
     async function runTest() {
+      await SimpleTest.enableLegacyUnpartitionedStorage();
+
       let bc = new BroadcastChannel("bug1743353");
 
       let getData = waitForData(bc);
diff --git a/docshell/test/mochitest/test_bug1850335.html b/docshell/test/mochitest/test_bug1850335.html
index 546aab59c8f1..a5e40fb604a1 100644
--- a/docshell/test/mochitest/test_bug1850335.html
+++ b/docshell/test/mochitest/test_bug1850335.html
@@ -15,6 +15,8 @@
     }
 
     async function runTest() {
+      await SimpleTest.enableLegacyUnpartitionedStorage();
+
       let bc = new BroadcastChannel("bug1850335");
 
       // Load the first page.
diff --git a/docshell/test/mochitest/test_bug660404.html b/docshell/test/mochitest/test_bug660404.html
index 94e3f67aa1b4..1c360bd310d3 100644
--- a/docshell/test/mochitest/test_bug660404.html
+++ b/docshell/test/mochitest/test_bug660404.html
@@ -43,31 +43,33 @@ var innerHTML =
 // eslint-disable-next-line no-useless-concat
 + `script></head>`
 ;
-var bc_multipart = new BroadcastChannel("bug660404_multipart");
-bc_multipart.onmessage = (msgEvent) => {
-    var msg = msgEvent.data;
-    var command = msg.command;
-    if (command == "finishTest") {
-      is(msg.textContent, textContent);
-      is(msg.innerHTML, innerHTML);
-      bc_multipart.close();
-      SimpleTest.finish();
-    }
-}
-var bc = new BroadcastChannel("bug660404");
-bc.onmessage = (msgEvent) => {
-    var msg = msgEvent.data;
-    var command = msg.command;
-    if (command == "pagehide") {
-      is(msg.persisted, true, "Should be bfcached when navigating to multipart");
-      bc.close();
-    }
-}
 
-// If Fission is disabled, the pref is no-op.
-SpecialPowers.pushPrefEnv({set: [["fission.bfcacheInParent", true]]}, () => {
-  // Have to open a new window, since there's no bfcache in subframes
-  window.open("file_bug660404-1.html", "", "noopener");
+SimpleTest.enableLegacyUnpartitionedStorage().then(() => {
+  var bc_multipart = new BroadcastChannel("bug660404_multipart");
+  bc_multipart.onmessage = (msgEvent) => {
+      var msg = msgEvent.data;
+      var command = msg.command;
+      if (command == "finishTest") {
+        is(msg.textContent, textContent);
+        is(msg.innerHTML, innerHTML);
+        bc_multipart.close();
+        SimpleTest.finish();
+      }
+  }
+  var bc = new BroadcastChannel("bug660404");
+  bc.onmessage = (msgEvent) => {
+      var msg = msgEvent.data;
+      var command = msg.command;
+      if (command == "pagehide") {
+        is(msg.persisted, true, "Should be bfcached when navigating to multipart");
+        bc.close();
+      }
+  }
+  // If Fission is disabled, the pref is no-op.
+  SpecialPowers.pushPrefEnv({set: [["fission.bfcacheInParent", true]]}, () => {
+    // Have to open a new window, since there's no bfcache in subframes
+    window.open("file_bug660404-1.html", "", "noopener");
+  });
 });
 
 </script>