diff --git a/tests/test_pin_build.py b/tests/test_pin_build.py
index f2503a8f6..6b27c186f 100644
--- a/tests/test_pin_build.py
+++ b/tests/test_pin_build.py
@@ -155,7 +155,10 @@ class EveryBuildReferenceNamesThePin(unittest.TestCase):
                 token = value.split()[-1].rsplit("/", 1)[-1].removesuffix(".tar.gz")
                 return value in pins or any(token in v or v in value for v in versions)
 
-            if not any(names_it(str(r["value"])) for r in references):
+            # A reference that only dates a config_reads entry names the build
+            # the platform reads that file at, not this profile's pin.
+            justifies_pin = profile.get("pin_frozen") or profile.get("pin_follows")
+            if justifies_pin and not any(names_it(str(r["value"])) for r in references):
                 disagree.append(name)
             for reference in references:
                 if not cf.pin_build_revision(reference, REPO_ROOT / "platforms"):