diff --git a/packages/core/src/index.tsx b/packages/core/src/index.tsx
index 0819dd1e7..a6cb76e21 100644
--- a/packages/core/src/index.tsx
+++ b/packages/core/src/index.tsx
@@ -3,7 +3,9 @@
  * This product includes software developed at Datadog (https://www.datadoghq.com/).
  * Copyright 2016-Present Datadog, Inc.
  */
+/* eslint-disable arca/import-ordering */
 
+import './polyfills';
 import {
     DatadogProviderConfiguration,
     DdSdkReactNativeConfiguration,
@@ -32,6 +34,8 @@ import { DefaultTimeProvider } from './utils/time-provider/DefaultTimeProvider';
 import { TimeProvider } from './utils/time-provider/TimeProvider';
 import type { Timestamp } from './utils/time-provider/TimeProvider';
 
+/* eslint-enable arca/import-ordering */
+
 export {
     DatadogProvider,
     DatadogProviderConfiguration,
diff --git a/packages/core/src/polyfills.js b/packages/core/src/polyfills.js
new file mode 100644
index 000000000..b20a4c847
--- /dev/null
+++ b/packages/core/src/polyfills.js
@@ -0,0 +1,31 @@
+import { version as reactNativeVersion } from 'react-native/package.json';
+
+function applyBigIntPolyfill() {
+    const rnVersion = reactNativeVersion.split('.').map(Number);
+    const isRn63 = rnVersion[0] === 0 && rnVersion[1] === 63;
+
+    if (isRn63 && typeof BigInt === 'undefined') {
+        try {
+            // eslint-disable-next-line global-require, import/no-extraneous-dependencies
+            global.BigInt = require('big-integer');
+            console.warn(
+                'React Native 0.63 does not support BigInt, which is required starting from v2.4.0 of Datadog React Native SDK. ' +
+                    'The missing type has been polyfilled using `big-integer` to grant back-compatibility. ' +
+                    'We strongly suggest updating to a greater version of React Native (>= 0.64).'
+            );
+        } catch (e) {
+            if (e instanceof Error && e.code === 'MODULE_NOT_FOUND') {
+                throw new Error(
+                    'React Native 0.63 does not support BigInt, which is required starting from v2.4.0 of Datadog React Native SDK. ' +
+                        'We strongly suggest updating to a greater version of React Native (>= 0.64).\n\n' +
+                        'You can install `big-integer` to enable our polyfill that grants back-compatibility with RN 63:\n\n' +
+                        '`yarn add big-integer`\n\nOR\n\n`npm install --save big-integer`'
+                );
+            } else {
+                throw e;
+            }
+        }
+    }
+}
+
+applyBigIntPolyfill();