diff --git a/packages/x-charts-pro/README.md b/packages/x-charts-pro/README.md
index f65d2f65836b..4e4c99c2e35a 100644
--- a/packages/x-charts-pro/README.md
+++ b/packages/x-charts-pro/README.md
@@ -11,11 +11,11 @@ Install the package in your project directory with:
 npm install @mui/x-charts-pro
 ```
 
-This component has the following peer dependencies that you will need to install as well.
+This component has the following peer dependencies that you need to install as well.
 
 ```json
 "peerDependencies": {
-  "@mui/material": "^5.15.14",
+  "@mui/material": "^5.15.14 || ^6.0.0",
   "react": "^17.0.0 || ^18.0.0",
   "react-dom": "^17.0.0 || ^18.0.0"
 },
diff --git a/packages/x-charts/README.md b/packages/x-charts/README.md
index babe6333320c..cda7ac8e591e 100644
--- a/packages/x-charts/README.md
+++ b/packages/x-charts/README.md
@@ -11,11 +11,11 @@ Install the package in your project directory with:
 npm install @mui/x-charts
 ```
 
-This component has the following peer dependencies that you will need to install as well.
+This component has the following peer dependencies that you need to install as well.
 
 ```json
 "peerDependencies": {
-  "@mui/material": "^5.15.14",
+  "@mui/material": "^5.15.14 || ^6.0.0",
   "react": "^17.0.0 || ^18.0.0",
   "react-dom": "^17.0.0 || ^18.0.0"
 },
diff --git a/packages/x-data-grid-premium/README.md b/packages/x-data-grid-premium/README.md
index c8527da8ec8b..cdb502174687 100644
--- a/packages/x-data-grid-premium/README.md
+++ b/packages/x-data-grid-premium/README.md
@@ -11,11 +11,11 @@ Install the package in your project directory with:
 npm install @mui/x-data-grid-premium
 ```
 
-This component has the following peer dependencies that you will need to install as well.
+This component has the following peer dependencies that you need to install as well.
 
 ```json
 "peerDependencies": {
-  "@mui/material": "^5.15.14",
+  "@mui/material": "^5.15.14 || ^6.0.0",
   "react": "^17.0.0 || ^18.0.0",
   "react-dom": "^17.0.0 || ^18.0.0"
 },
diff --git a/packages/x-data-grid-pro/README.md b/packages/x-data-grid-pro/README.md
index 25a3704effd4..8f230f5d7d25 100644
--- a/packages/x-data-grid-pro/README.md
+++ b/packages/x-data-grid-pro/README.md
@@ -11,11 +11,11 @@ Install the package in your project directory with:
 npm install @mui/x-data-grid-pro
 ```
 
-This component has the following peer dependencies that you will need to install as well.
+This component has the following peer dependencies that you need to install as well.
 
 ```json
 "peerDependencies": {
-  "@mui/material": "^5.15.14",
+  "@mui/material": "^5.15.14 || ^6.0.0",
   "react": "^17.0.0 || ^18.0.0",
   "react-dom": "^17.0.0 || ^18.0.0"
 },
diff --git a/packages/x-data-grid/README.md b/packages/x-data-grid/README.md
index 25de6af92b19..e8af2fbf99ab 100644
--- a/packages/x-data-grid/README.md
+++ b/packages/x-data-grid/README.md
@@ -11,11 +11,11 @@ Install the package in your project directory with:
 npm install @mui/x-data-grid
 ```
 
-This component has the following peer dependencies that you will need to install as well.
+This component has the following peer dependencies that you need to install as well.
 
 ```json
 "peerDependencies": {
-  "@mui/material": "^5.15.14",
+  "@mui/material": "^5.15.14 || ^6.0.0",
   "react": "^17.0.0 || ^18.0.0",
   "react-dom": "^17.0.0 || ^18.0.0"
 },
diff --git a/packages/x-date-pickers-pro/README.md b/packages/x-date-pickers-pro/README.md
index 8a5f497bc1aa..5e6e0bd885c1 100644
--- a/packages/x-date-pickers-pro/README.md
+++ b/packages/x-date-pickers-pro/README.md
@@ -30,11 +30,11 @@ npm install luxon
 npm install moment
 ```
 
-This component has the following peer dependencies that you will need to install as well.
+This component has the following peer dependencies that you need to install as well.
 
 ```json
 "peerDependencies": {
-  "@mui/material": "^5.15.14",
+  "@mui/material": "^5.15.14 || ^6.0.0",
   "react": "^17.0.0 || ^18.0.0",
   "react-dom": "^17.0.0 || ^18.0.0"
 },
diff --git a/packages/x-date-pickers/README.md b/packages/x-date-pickers/README.md
index aa2376eac454..b66cfe572b1a 100644
--- a/packages/x-date-pickers/README.md
+++ b/packages/x-date-pickers/README.md
@@ -30,11 +30,11 @@ npm install luxon
 npm install moment
 ```
 
-This component has the following peer dependencies that you will need to install as well.
+This component has the following peer dependencies that you need to install as well.
 
 ```json
 "peerDependencies": {
-  "@mui/material": "^5.15.14",
+  "@mui/material": "^5.15.14 || ^6.0.0",
   "react": "^17.0.0 || ^18.0.0",
   "react-dom": "^17.0.0 || ^18.0.0"
 },
diff --git a/packages/x-tree-view-pro/README.md b/packages/x-tree-view-pro/README.md
index 9d9bfe64f275..b9177bb79f5f 100644
--- a/packages/x-tree-view-pro/README.md
+++ b/packages/x-tree-view-pro/README.md
@@ -11,11 +11,11 @@ Install the package in your project directory with:
 npm install @mui/x-tree-view-pro
 ```
 
-This component has the following peer dependencies that you will need to install as well.
+This component has the following peer dependencies that you need to install as well.
 
 ```json
 "peerDependencies": {
-  "@mui/material": "^5.15.14",
+  "@mui/material": "^5.15.14 || ^6.0.0",
   "react": "^17.0.0 || ^18.0.0",
   "react-dom": "^17.0.0 || ^18.0.0"
 },
diff --git a/packages/x-tree-view/README.md b/packages/x-tree-view/README.md
index 567adb406dfb..6b16d4b1273f 100644
--- a/packages/x-tree-view/README.md
+++ b/packages/x-tree-view/README.md
@@ -11,11 +11,11 @@ Install the package in your project directory with:
 npm install @mui/x-tree-view
 ```
 
-This component has the following peer dependencies that you will need to install as well.
+This component has the following peer dependencies that you need to install as well.
 
 ```json
 "peerDependencies": {
-  "@mui/material": "^5.15.14",
+  "@mui/material": "^5.15.14 || ^6.0.0",
   "react": "^17.0.0 || ^18.0.0",
   "react-dom": "^17.0.0 || ^18.0.0"
 },