diff --git a/packages/nextjs/package.json b/packages/nextjs/package.json
index f1e1ffae40fd..d981551304ca 100644
--- a/packages/nextjs/package.json
+++ b/packages/nextjs/package.json
@@ -37,7 +37,7 @@
     "next": "10.1.3"
   },
   "peerDependencies": {
-    "next": "^10.0.8 || ^11.0 || ^12.0",
+    "next": "^10.0.8 || ^11.0 || ^12.0 || ^13.0",
     "react": "15.x || 16.x || 17.x || 18.x",
     "webpack": ">= 4.0.0"
   },
diff --git a/packages/nextjs/test/run-integration-tests.sh b/packages/nextjs/test/run-integration-tests.sh
index 9ca5e776c300..62033d3982ad 100755
--- a/packages/nextjs/test/run-integration-tests.sh
+++ b/packages/nextjs/test/run-integration-tests.sh
@@ -30,7 +30,7 @@ echo "Running integration tests on Node $NODE_VERSION"
 # make a backup of our config file so we can restore it when we're done
 mv next.config.js next.config.js.bak
 
-for NEXTJS_VERSION in 10 11 12; do
+for NEXTJS_VERSION in 10 11 12 13; do
 
   # export this to the env so that we can behave differently depending on which version of next we're testing, without
   # having to pass this value from function to function to function to the one spot, deep in some callstack, where we
@@ -44,8 +44,14 @@ for NEXTJS_VERSION in 10 11 12; do
   fi
 
   # Next.js v11 requires at least Node v12
-  if [ "$NODE_MAJOR" -lt "12" ] && [ "$NEXTJS_VERSION" -eq "11" ]; then
-    echo "[nextjs$NEXTJS_VERSION] Not compatible with Node $NODE_MAJOR"
+  if [ "$NODE_MAJOR" -lt "12" ] && [ "$NEXTJS_VERSION" -ge "11" ]; then
+    echo "[nextjs@$NEXTJS_VERSION] Not compatible with Node $NODE_MAJOR"
+    exit 0
+  fi
+
+  # Next.js v13 requires at least Node v14
+  if [ "$NODE_MAJOR" -lt "14" ] && [ "$NEXTJS_VERSION" -ge "13" ]; then
+    echo "[nextjs@$NEXTJS_VERSION] Not compatible with Node $NODE_MAJOR"
     exit 0
   fi
 
@@ -61,6 +67,11 @@ for NEXTJS_VERSION in 10 11 12; do
   else
     sed -i /"next.*latest"/s/latest/"${NEXTJS_VERSION}.x"/ package.json
   fi
+
+  # Next.js v13 requires React 18.2.0
+  if [ "$NEXTJS_VERSION" -eq "13" ]; then
+    npm i --save react@18.2.0 react-dom@18.2.0
+  fi
   # We have to use `--ignore-engines` because sucrase claims to need Node 12, even though tests pass just fine on Node
   # 10
   yarn --no-lockfile --ignore-engines --silent >/dev/null 2>&1
@@ -84,11 +95,11 @@ for NEXTJS_VERSION in 10 11 12; do
     # https://github.com/webpack/webpack/issues/14532#issuecomment-947513562
     # Context: https://github.com/vercel/next.js/issues/30078#issuecomment-947338268
     if [ "$NODE_MAJOR" -gt "17" ] && [ "$WEBPACK_VERSION" -eq "4" ]; then
-      echo "[nextjs$NEXTJS_VERSION | webpack@$WEBPACK_VERSION] Node $NODE_MAJOR not compatible with Webpack $WEBPACK_VERSION"
+      echo "[nextjs@$NEXTJS_VERSION | webpack@$WEBPACK_VERSION] Node $NODE_MAJOR not compatible with Webpack $WEBPACK_VERSION"
       exit 0
     fi
     if [ "$NODE_MAJOR" -gt "17" ] && [ "$NEXTJS_VERSION" -eq "10" ]; then
-      echo "[nextjs$NEXTJS_VERSION | webpack@$WEBPACK_VERSION] Node $NODE_MAJOR not compatible with Webpack $WEBPACK_VERSION"
+      echo "[nextjs@$NEXTJS_VERSION | webpack@$WEBPACK_VERSION] Node $NODE_MAJOR not compatible with Webpack $WEBPACK_VERSION"
       exit 0
     fi