diff --git a/testing/web-platform/tests/storage/estimate-indexeddb.https.any.js b/testing/web-platform/tests/storage/estimate-indexeddb.https.any.js
index dc37f6a08c0eb..f46dffb969407 100644
--- a/testing/web-platform/tests/storage/estimate-indexeddb.https.any.js
+++ b/testing/web-platform/tests/storage/estimate-indexeddb.https.any.js
@@ -1,20 +1,7 @@
 
 
 
-test(t => {
-  assert_true('estimate' in navigator.storage);
-  assert_equals(typeof navigator.storage.estimate, 'function');
-  assert_true(navigator.storage.estimate() instanceof Promise);
-}, 'estimate() method exists and returns a Promise');
 
-promise_test(async t => {
-  const estimate = await navigator.storage.estimate();
-  assert_equals(typeof estimate, 'object');
-  assert_true('usage' in estimate);
-  assert_equals(typeof estimate.usage, 'number');
-  assert_true('quota' in estimate);
-  assert_equals(typeof estimate.quota, 'number');
-}, 'estimate() resolves to dictionary with members');
 
 promise_test(async t => {
   const arraySize = 1e6;
diff --git a/testing/web-platform/tests/storage/storagemanager-estimate.https.any.js b/testing/web-platform/tests/storage/storagemanager-estimate.https.any.js
index f0fd595d5da09..f0cac421e4f3e 100644
--- a/testing/web-platform/tests/storage/storagemanager-estimate.https.any.js
+++ b/testing/web-platform/tests/storage/storagemanager-estimate.https.any.js
@@ -1,60 +1,16 @@
 
 
-test(function(t) {
-    assert_true(navigator.storage.estimate() instanceof Promise);
-}, 'estimate() method returns a Promise');
+test(t => {
+  assert_true('estimate' in navigator.storage);
+  assert_equals(typeof navigator.storage.estimate, 'function');
+  assert_true(navigator.storage.estimate() instanceof Promise);
+}, 'estimate() method exists and returns a Promise');
 
-promise_test(function(t) {
-    return navigator.storage.estimate().then(function(result) {
-        assert_equals(typeof result, 'object');
-        assert_true('usage' in result);
-        assert_equals(typeof result.usage, 'number');
-        assert_true('quota' in result);
-        assert_equals(typeof result.quota, 'number');
-    });
+promise_test(async t => {
+  const result = await navigator.storage.estimate();
+  assert_equals(typeof result, 'object');
+  assert_true('usage' in result);
+  assert_equals(typeof result.usage, 'number');
+  assert_true('quota' in result);
+  assert_equals(typeof result.quota, 'number');
 }, 'estimate() resolves to dictionary with members');
-
-promise_test(function(t) {
-    const large_value = new Uint8Array(1e6);
-    const dbname = `db-${location}-${t.name}`;
-    let db, before, after;
-
-    indexedDB.deleteDatabase(dbname);
-    return new Promise((resolve, reject) => {
-            const open = indexedDB.open(dbname);
-            open.onerror = () => { reject(open.error); };
-            open.onupgradeneeded = () => {
-                const connection = open.result;
-                connection.createObjectStore('store');
-            };
-            open.onsuccess = () => {
-                const connection = open.result;
-                t.add_cleanup(() => {
-                    connection.close();
-                    indexedDB.deleteDatabase(dbname);
-                });
-                resolve(connection);
-            };
-        })
-        .then(connection => {
-            db = connection;
-            return navigator.storage.estimate();
-        })
-        .then(estimate => {
-            before = estimate.usage;
-            return new Promise((resolve, reject) => {
-                const tx = db.transaction('store', 'readwrite');
-                tx.objectStore('store').put(large_value, 'key');
-                tx.onabort = () => { reject(tx.error); };
-                tx.oncomplete = () => { resolve(); };
-            });
-        })
-        .then(() => {
-            return navigator.storage.estimate();
-        })
-        .then(estimate => {
-            after = estimate.usage;
-            assert_greater_than(after, before,
-                                'estimated usage should increase');
-        });
-}, 'estimate() shows usage increase after 1MB IndexedDB record is stored');