diff --git a/constraints.pro b/constraints.pro
index 39eebacb9df9..8beae223e6b4 100644
--- a/constraints.pro
+++ b/constraints.pro
@@ -57,10 +57,12 @@ gen_enforced_field(WorkspaceCwd, 'author', 'The Babel Team (https://babel.dev/te
 gen_enforced_field(WorkspaceCwd, 'author', null) :-
   workspace_field(WorkspaceCwd, 'private', true).
 
-% Enforces the main field to start with ./
-gen_enforced_field(WorkspaceCwd, 'main', ExpectedValue) :-
+% Enforces the main and types field to start with ./
+gen_enforced_field(WorkspaceCwd, FieldName, ExpectedValue) :-
+  % Fields the rule applies to
+  member(FieldName, ['main', 'types']),
   % Get current value
-  workspace_field(WorkspaceCwd, 'main', CurrentValue),
+  workspace_field(WorkspaceCwd, FieldName, CurrentValue),
   % Must not start with ./ already
   \+ atom_concat('./', _, CurrentValue),
   % Store './' + CurrentValue in ExpectedValue
diff --git a/packages/babel-parser/package.json b/packages/babel-parser/package.json
index db2591bc699c..8dc297752cec 100644
--- a/packages/babel-parser/package.json
+++ b/packages/babel-parser/package.json
@@ -23,7 +23,7 @@
     "directory": "packages/babel-parser"
   },
   "main": "./lib/index.js",
-  "types": "typings/babel-parser.d.ts",
+  "types": "./typings/babel-parser.d.ts",
   "files": [
     "bin",
     "lib",
diff --git a/packages/babel-types/package.json b/packages/babel-types/package.json
index e930875eb6de..ea103ec8fb28 100644
--- a/packages/babel-types/package.json
+++ b/packages/babel-types/package.json
@@ -15,7 +15,7 @@
     "directory": "packages/babel-types"
   },
   "main": "./lib/index.js",
-  "types": "lib/index-legacy.d.ts",
+  "types": "./lib/index-legacy.d.ts",
   "typesVersions": {
     ">=3.7": {
       "lib/index-legacy.d.ts": [