diff --git a/freezegun/api.py b/freezegun/api.py
index 81d4da17..85eb8293 100644
--- a/freezegun/api.py
+++ b/freezegun/api.py
@@ -322,7 +322,11 @@ def __sub__(self, other):
 
     @classmethod
     def today(cls):
-        result = cls._date_to_freeze() + cls._tz_offset()
+        if _should_use_real_time():
+            result = real_date.today()
+        else:
+            result = cls._date_to_freeze() + cls._tz_offset()
+
         return date_to_fakedate(result)
 
     @staticmethod
@@ -383,7 +387,11 @@ def timestamp(self):
 
     @classmethod
     def now(cls, tz=None):
-        now = cls._time_to_freeze() or real_datetime.now()
+        if _should_use_real_time():
+            now = real_datetime.now()
+        else:
+            now = cls._time_to_freeze() or real_datetime.now()
+
         if tz:
             result = tz.fromutc(now.replace(tzinfo=tz)) + cls._tz_offset()
         else:
@@ -407,7 +415,10 @@ def today(cls):
 
     @classmethod
     def utcnow(cls):
-        result = cls._time_to_freeze() or real_datetime.utcnow()
+        if _should_use_real_time():
+            result = real_datetime.utcnow()
+        else:
+            result = cls._time_to_freeze() or real_datetime.now()
         return datetime_to_fakedatetime(result)
 
     @staticmethod
diff --git a/tests/another_module.py b/tests/another_module.py
index 637c889b..fc4a119b 100644
--- a/tests/another_module.py
+++ b/tests/another_module.py
@@ -61,3 +61,18 @@ def get_fake_gmtime():
 
 def get_fake_strftime():
     return fake_strftime
+
+
+# Getters
+
+
+def get_datetime_now():
+    return datetime.now()
+
+
+def get_datetime_utcnow():
+    return datetime.utcnow()
+
+
+def get_date_today():
+    return date.today()
\ No newline at end of file
diff --git a/tests/test_class_import.py b/tests/test_class_import.py
index 709dc6e1..643613c8 100644
--- a/tests/test_class_import.py
+++ b/tests/test_class_import.py
@@ -180,6 +180,24 @@ def test_import_after_start():
     assert another_module.get_fake_strftime() is fake_strftime
     del sys.modules['tests.another_module']
 
+
+def test_ignore_import_after_start():
+    with freeze_time("2012-01-14", ignore=["tests.another_module"]):
+        assert "tests.another_module" not in sys.modules.keys()
+        from tests import another_module
+
+        utcnow = another_module.get_datetime_utcnow()
+        assert utcnow != FakeDatetime(2012, 1, 14)
+
+        now = another_module.get_datetime_now()
+        assert now != FakeDatetime(2012, 1, 14)
+
+        today = another_module.get_date_today()
+        assert today != FakeDate(2012, 1, 14)
+
+    del sys.modules["tests.another_module"]
+
+
 def test_none_as_initial():
     with freeze_time() as ft:
         ft.move_to('2012-01-14')