diff --git a/flit/init.py b/flit/init.py
index 4524d60f..8c48c19f 100644
--- a/flit/init.py
+++ b/flit/init.py
@@ -49,10 +49,10 @@ def store_defaults(d):
     ('skip', "Skip - choose a license later"),
 ]
 
-license_names_to_classifiers = {
-    'mit': 'License :: OSI Approved :: MIT License',
-    'gpl3': 'License :: OSI Approved :: GNU General Public License v3 or later (GPLv3+)',
-    'apache': 'License :: OSI Approved :: Apache Software License'
+license_names_to_spdx = {
+    'mit': 'MIT',
+    'apache': 'Apache-2.0',
+    'gpl3': 'GPL-3.0-or-later',
 }
 
 license_templates_dir = Path(__file__).parent / 'license_templates'
@@ -119,11 +119,11 @@ def write_license(self, name, author):
         if (self.directory / 'LICENSE').exists():
             return
         year = date.today().year
-        with (license_templates_dir / name).open(encoding='utf-8') as f:
-            license_text = f.read()
+        license_text = (license_templates_dir / name).read_text('utf-8')
 
-        with (self.directory / 'LICENSE').open('w', encoding='utf-8') as f:
-            f.write(license_text.format(year=year, author=author))
+        (self.directory / 'LICENSE').write_text(
+            license_text.format(year=year, author=author), encoding='utf-8'
+        )
 
     def find_readme(self):
         allowed = ("readme.md","readme.rst","readme.txt")
@@ -213,9 +213,7 @@ def initialise(self):
         else:
             authors_list = "[]"
 
-        classifiers = []
         if license != 'skip':
-            classifiers = [license_names_to_classifiers[license]]
             self.write_license(license, author)
 
         with (self.directory / 'pyproject.toml').open('w', encoding='utf-8') as f:
@@ -225,9 +223,8 @@ def initialise(self):
             if readme:
                 f.write(tomli_w.dumps({'readme': readme}))
             if license != 'skip':
-                f.write('license = {file = "LICENSE"}\n')
-            if classifiers:
-                f.write(f"classifiers = {json.dumps(classifiers)}\n")
+                f.write(tomli_w.dumps({'license': license_names_to_spdx[license]}))
+                f.write(f"license-files = {json.dumps(['LICENSE'])}\n")
             f.write('dynamic = ["version", "description"]\n')
             if home_page:
                 f.write("\n" + tomli_w.dumps({
@@ -239,7 +236,7 @@ def initialise(self):
 
 TEMPLATE = """\
 [build-system]
-requires = ["flit_core >=3.2,<4"]
+requires = ["flit_core >=3.11,<4"]
 build-backend = "flit_core.buildapi"
 
 [project]
diff --git a/tests/test_init.py b/tests/test_init.py
index 832343fe..94f93851 100644
--- a/tests/test_init.py
+++ b/tests/test_init.py
@@ -113,7 +113,8 @@ def test_init():
             data = tomllib.load(f)
         assert data['project']['authors'][0]['email'] == "test@example.com"
         license = Path(td) / 'LICENSE'
-        assert data['project']['license']['file'] == 'LICENSE'
+        assert data['project']['license'] == 'MIT'
+        assert data['project']['license-files'] == ['LICENSE']
         assert_isfile(license)
         with license.open() as f:
             license_text = f.read()