diff --git a/packages/babel-parser/src/parser/error-message.js b/packages/babel-parser/src/parser/error-message.js
index 4fb6c3ddfcce..b71b813f1072 100644
--- a/packages/babel-parser/src/parser/error-message.js
+++ b/packages/babel-parser/src/parser/error-message.js
@@ -213,8 +213,7 @@ export const ErrorMessages = makeErrorTemplates(
       "`new.target` can only be used in functions or class properties.",
     UnexpectedNumericSeparator:
       "A numeric separator is only allowed between two digits.",
-    UnexpectedPrivateField:
-      "Private names can only be used as the name of a class element (i.e. class C { #p = 42; #m() {} } )\n or a property of member expression (i.e. this.#p).",
+    UnexpectedPrivateField: "Unexpected private name.",
     UnexpectedReservedWord: "Unexpected reserved word '%0'.",
     UnexpectedSuper: "'super' is only allowed in object methods and classes.",
     UnexpectedToken: "Unexpected token '%0'.",
diff --git a/packages/babel-parser/test/fixtures/es2022/class-private-properties/invalid-destructuring-arguments/output.json b/packages/babel-parser/test/fixtures/es2022/class-private-properties/invalid-destructuring-arguments/output.json
index 8a1f3e458127..e335d94d997e 100644
--- a/packages/babel-parser/test/fixtures/es2022/class-private-properties/invalid-destructuring-arguments/output.json
+++ b/packages/babel-parser/test/fixtures/es2022/class-private-properties/invalid-destructuring-arguments/output.json
@@ -2,7 +2,7 @@
   "type": "File",
   "start":0,"end":46,"loc":{"start":{"line":1,"column":0},"end":{"line":4,"column":1}},
   "errors": [
-    "SyntaxError: Private names can only be used as the name of a class element (i.e. class C { #p = 42; #m() {} } )\n or a property of member expression (i.e. this.#p). (3:11)"
+    "SyntaxError: Unexpected private name. (3:11)"
   ],
   "program": {
     "type": "Program",
@@ -107,4 +107,4 @@
     ],
     "directives": []
   }
-}
\ No newline at end of file
+}
diff --git a/packages/babel-parser/test/fixtures/es2022/class-private-properties/invalid-destructuring/output.json b/packages/babel-parser/test/fixtures/es2022/class-private-properties/invalid-destructuring/output.json
index 0f46840ba8c7..ed66d5125c00 100644
--- a/packages/babel-parser/test/fixtures/es2022/class-private-properties/invalid-destructuring/output.json
+++ b/packages/babel-parser/test/fixtures/es2022/class-private-properties/invalid-destructuring/output.json
@@ -2,7 +2,7 @@
   "type": "File",
   "start":0,"end":59,"loc":{"start":{"line":1,"column":0},"end":{"line":6,"column":1}},
   "errors": [
-    "SyntaxError: Private names can only be used as the name of a class element (i.e. class C { #p = 42; #m() {} } )\n or a property of member expression (i.e. this.#p). (4:12)"
+    "SyntaxError: Unexpected private name. (4:12)"
   ],
   "program": {
     "type": "Program",
@@ -116,4 +116,4 @@
     ],
     "directives": []
   }
-}
\ No newline at end of file
+}
diff --git a/packages/babel-parser/test/fixtures/es2022/class-private-properties/invalid-object-method/output.json b/packages/babel-parser/test/fixtures/es2022/class-private-properties/invalid-object-method/output.json
index 10e0158086e0..a7446d847fd7 100644
--- a/packages/babel-parser/test/fixtures/es2022/class-private-properties/invalid-object-method/output.json
+++ b/packages/babel-parser/test/fixtures/es2022/class-private-properties/invalid-object-method/output.json
@@ -2,7 +2,7 @@
   "type": "File",
   "start":0,"end":33,"loc":{"start":{"line":1,"column":0},"end":{"line":3,"column":1}},
   "errors": [
-    "SyntaxError: Private names can only be used as the name of a class element (i.e. class C { #p = 42; #m() {} } )\n or a property of member expression (i.e. this.#p). (2:11)"
+    "SyntaxError: Unexpected private name. (2:11)"
   ],
   "program": {
     "type": "Program",
@@ -78,4 +78,4 @@
     ],
     "directives": []
   }
-}
\ No newline at end of file
+}
diff --git a/packages/babel-parser/test/fixtures/es2022/class-private-properties/invalid-object-property/output.json b/packages/babel-parser/test/fixtures/es2022/class-private-properties/invalid-object-property/output.json
index 7c27ba1380b6..f3622c7378cb 100644
--- a/packages/babel-parser/test/fixtures/es2022/class-private-properties/invalid-object-property/output.json
+++ b/packages/babel-parser/test/fixtures/es2022/class-private-properties/invalid-object-property/output.json
@@ -2,7 +2,7 @@
   "type": "File",
   "start":0,"end":32,"loc":{"start":{"line":1,"column":0},"end":{"line":3,"column":1}},
   "errors": [
-    "SyntaxError: Private names can only be used as the name of a class element (i.e. class C { #p = 42; #m() {} } )\n or a property of member expression (i.e. this.#p). (2:11)"
+    "SyntaxError: Unexpected private name. (2:11)"
   ],
   "program": {
     "type": "Program",
@@ -77,4 +77,4 @@
     ],
     "directives": []
   }
-}
\ No newline at end of file
+}
diff --git a/packages/babel-parser/test/fixtures/es2022/class-private-properties/invalid-ts-type-literal/output.json b/packages/babel-parser/test/fixtures/es2022/class-private-properties/invalid-ts-type-literal/output.json
index abaf592123d0..c53dd5371ec0 100644
--- a/packages/babel-parser/test/fixtures/es2022/class-private-properties/invalid-ts-type-literal/output.json
+++ b/packages/babel-parser/test/fixtures/es2022/class-private-properties/invalid-ts-type-literal/output.json
@@ -2,7 +2,7 @@
   "type": "File",
   "start":0,"end":28,"loc":{"start":{"line":1,"column":0},"end":{"line":3,"column":1}},
   "errors": [
-    "SyntaxError: Private names can only be used as the name of a class element (i.e. class C { #p = 42; #m() {} } )\n or a property of member expression (i.e. this.#p). (2:3)"
+    "SyntaxError: Unexpected private name. (2:3)"
   ],
   "program": {
     "type": "Program",
@@ -49,4 +49,4 @@
     ],
     "directives": []
   }
-}
\ No newline at end of file
+}