diff --git a/src/isSupported.js b/src/isSupported.js
index 56864ac..b2224cd 100644
--- a/src/isSupported.js
+++ b/src/isSupported.js
@@ -9,6 +9,10 @@ function hasStorage(name) {
     storage.removeItem(TEST_KEY);
     return true;
   } catch (e) {
+    // Storage is supported but the quota has been exceeded
+    if (e instanceof Error && e.name === "QuotaExceededError") {
+      return true;
+    }
     return false;
   }
 }