diff --git a/conda_smithy/configure_feedstock.py b/conda_smithy/configure_feedstock.py
index 07e5aa168..69e17e84e 100644
--- a/conda_smithy/configure_feedstock.py
+++ b/conda_smithy/configure_feedstock.py
@@ -2694,15 +2694,13 @@ def make_jinja_env(feedstock_directory):
 def get_migrations_in_dir(migrations_root):
     """
     Given a directory, return the migrations as a mapping
-    from the (filename, timestamp) to (full_path, migration_number, use_local)
+    from the filename to a tuple of (full_path, migration_number, use_local)
     """
     res = {}
     for full_path in glob.glob(os.path.join(migrations_root, "*.yaml")):
         with open(full_path, encoding="utf-8") as f:
             contents = f.read()
             migration_yaml = yaml.load(contents, Loader=yaml.loader.BaseLoader) or {}
-            # Use a object as timestamp to not delete it
-            ts = migration_yaml.get("migrator_ts", object())
             migration_number = migration_yaml.get("__migrator", {}).get(
                 "migration_number", 1
             )
@@ -2711,7 +2709,7 @@ def get_migrations_in_dir(migrations_root):
                 == "true"
             )
             fn = os.path.basename(full_path)
-            res[(fn, ts)] = (full_path, migration_number, use_local)
+            res[fn] = (full_path, migration_number, use_local)
     return res
 
 
@@ -2754,14 +2752,12 @@ def set_migration_fns(forge_dir, forge_config):
     migrations_in_cfp = get_migrations_in_dir(cfp_migrations_dir)
 
     result = []
-    for (fn, ts), (full_path, num, use_local) in migrations_in_feedstock.items():
-        if use_local or not isinstance(ts, (int, str, float)):
-            # This file has a setting to use the file in the feedstock
-            # or doesn't have a timestamp. Use it as it is.
+    for fn, (full_path, num, use_local) in migrations_in_feedstock.items():
+        if use_local:
             result.append(full_path)
-        elif (fn, ts) in migrations_in_cfp:
+        elif fn in migrations_in_cfp:
             # Use the one from cfp if migration_numbers match
-            new_full_path, new_num, _ = migrations_in_cfp[(fn, ts)]
+            new_full_path, new_num, _ = migrations_in_cfp[fn]
             if num == new_num:
                 logger.info(
                     "%s from feedstock is ignored and upstream version is used",
@@ -2773,9 +2769,8 @@ def set_migration_fns(forge_dir, forge_config):
         else:
             # Delete this as this migration is over.
             logger.info(
-                "%s with timestamp %s does not exist in global pinning (anymore), removing it.",
+                "%s does not exist in global pinning (anymore), removing it.",
                 fn,
-                ts,
             )
             logger.info(
                 "If it should be applied nevertheless, check that migrator_ts/migration_number match the ones in "
diff --git a/news/2368-don't-use-timestamps-to-determine-migration-application.rst b/news/2368-don't-use-timestamps-to-determine-migration-application.rst
new file mode 100644
index 000000000..218d517cd
--- /dev/null
+++ b/news/2368-don't-use-timestamps-to-determine-migration-application.rst
@@ -0,0 +1,23 @@
+**Added:**
+
+* <news item>
+
+**Changed:**
+
+* Avoid using migration timestamps to determine whether migrations should be applied. The logic for ``use_local`` and ``migration_number`` remains unchanged, but migrations are now uniformly applied based on the name of the migrator file, and timestamps are only used to order the application of migrators (#2368).
+
+**Deprecated:**
+
+* <news item>
+
+**Removed:**
+
+* <news item>
+
+**Fixed:**
+
+* <news item>
+
+**Security:**
+
+* <news item>