diff --git a/Lib/test/test_resource.py b/Lib/test/test_resource.py
index 5fd076bee38..0e24613ea8b 100644
--- a/Lib/test/test_resource.py
+++ b/Lib/test/test_resource.py
@@ -35,13 +35,10 @@ def test_args(self):
     @unittest.skipUnless(hasattr(resource, 'RLIMIT_FSIZE'), 'requires resource.RLIMIT_FSIZE')
     def test_fsize_ismax(self):
         (cur, max) = resource.getrlimit(resource.RLIMIT_FSIZE)
-        # RLIMIT_FSIZE should be RLIM_INFINITY, which will be a really big
-        # number on a platform with large file support.  On these platforms,
-        # we need to test that the get/setrlimit functions properly convert
-        # the number to a C long long and that the conversion doesn't raise
-        # an error.
-        self.assertGreater(resource.RLIM_INFINITY, 0)
-        self.assertEqual(resource.RLIM_INFINITY, max)
+        # Test that the get/setrlimit functions properly handle large values
+        # for RLIMIT_FSIZE. On platforms with large file support, max may be
+        # RLIM_INFINITY, but on systems with file size restrictions, it may
+        # be a smaller value.
         self.assertLessEqual(cur, max)
         resource.setrlimit(resource.RLIMIT_FSIZE, (max, max))
         resource.setrlimit(resource.RLIMIT_FSIZE, (cur, max))
@@ -155,7 +152,6 @@ def expected(cur):
                      "setting RLIMIT_FSIZE is not supported on VxWorks")
     @unittest.skipUnless(hasattr(resource, 'RLIMIT_FSIZE'), 'requires resource.RLIMIT_FSIZE')
     def test_fsize_negative(self):
-        self.assertGreater(resource.RLIM_INFINITY, 0)
         (cur, max) = resource.getrlimit(resource.RLIMIT_FSIZE)
         for value in -5, -2**31, -2**32-5, -2**63, -2**64-5, -2**1000:
             with self.subTest(value=value):
diff --git a/Misc/NEWS.d/next/Tests/2025-11-18-10-16-34.gh-issue-37883.gH4xKm.rst b/Misc/NEWS.d/next/Tests/2025-11-18-10-16-34.gh-issue-37883.gH4xKm.rst
new file mode 100644
index 00000000000..69811d6f4ec
--- /dev/null
+++ b/Misc/NEWS.d/next/Tests/2025-11-18-10-16-34.gh-issue-37883.gH4xKm.rst
@@ -0,0 +1,3 @@
+Fix ``test_resource.test_fsize_ismax`` to handle systems where
+``RLIMIT_FSIZE`` max limit is less than ``RLIM_INFINITY``. Patched by
+Shamil Abdulaev.