diff --git a/composer/core/time.py b/composer/core/time.py
index ab2d6a60ee..90b3bfdb97 100644
--- a/composer/core/time.py
+++ b/composer/core/time.py
@@ -709,7 +709,10 @@ def to_next_batch(
             batch_wct=duration,
         )
 
-    def to_next_epoch(self):
+    def to_next_epoch(
+        self,
+        duration: Optional[datetime.timedelta] = None,
+    ):
         """Create a new :class:`.Timestamp`, advanced to the next epoch.
 
         Equivalent to:
@@ -720,25 +723,30 @@ def to_next_epoch(self):
             import datetime
 
             timestamp = Timestamp()
+            duration = datetime.timedelta(seconds=0)
 
         .. doctest::
 
             >>> timestamp.copy(
-            ...     epoch=timestamp.epoch+1,
+            ...     epoch=timestamp.epoch + 1,
             ...     batch_in_epoch=0,
             ...     sample_in_epoch=0,
             ...     token_in_epoch=0,
+            ...     total_wct=timestamp.total_wct + duration,
             ...     epoch_wct=datetime.timedelta(seconds=0),
             ...     batch_wct=datetime.timedelta(seconds=0),
             ... )
             Timestamp(...)
 
         """
+        if duration is None:
+            duration = datetime.timedelta(seconds=0)
         return self.copy(
             epoch=self.epoch + 1,
             batch_in_epoch=0,
             sample_in_epoch=0,
             token_in_epoch=0,
+            total_wct=self.total_wct + duration,
             epoch_wct=datetime.timedelta(seconds=0),
             batch_wct=datetime.timedelta(seconds=0),
         )
diff --git a/tests/test_time.py b/tests/test_time.py
index 58f1cf9747..611bf83f72 100644
--- a/tests/test_time.py
+++ b/tests/test_time.py
@@ -138,7 +138,7 @@ def test_timestamp_update():
 
 def test_timestamp_to_next_batch_epoch():
     timestamp = Timestamp()
-    # Step batch 0, epoch 0
+    # Step batch 0 in epoch 0
     timestamp = timestamp.to_next_batch(10, 20, datetime.timedelta(seconds=5))
     assert timestamp.batch == 1
     assert timestamp.batch_in_epoch == 1
@@ -152,7 +152,7 @@ def test_timestamp_to_next_batch_epoch():
     assert timestamp.batch_wct == datetime.timedelta(seconds=5)
 
     # Finish epoch 0
-    timestamp = timestamp.to_next_epoch()
+    timestamp = timestamp.to_next_epoch(datetime.timedelta(seconds=5))
     assert timestamp.epoch == 1
     assert timestamp.batch == 1
     assert timestamp.batch_in_epoch == 0
@@ -160,11 +160,11 @@ def test_timestamp_to_next_batch_epoch():
     assert timestamp.sample_in_epoch == 0
     assert timestamp.token == 20
     assert timestamp.token_in_epoch == 0
-    assert timestamp.total_wct == datetime.timedelta(seconds=5)
+    assert timestamp.total_wct == datetime.timedelta(seconds=10)
     assert timestamp.epoch_wct == datetime.timedelta(seconds=0)
     assert timestamp.batch_wct == datetime.timedelta(seconds=0)
 
-    # Step a batch 0 in epoch 1
+    # Step batch 0 in epoch 1
     timestamp = timestamp.to_next_batch(5, 0, datetime.timedelta(seconds=10))
     assert timestamp.epoch == 1
     assert timestamp.batch == 2
@@ -173,11 +173,11 @@ def test_timestamp_to_next_batch_epoch():
     assert timestamp.sample_in_epoch == 5
     assert timestamp.token == 20
     assert timestamp.token_in_epoch == 0
-    assert timestamp.total_wct == datetime.timedelta(seconds=15)
+    assert timestamp.total_wct == datetime.timedelta(seconds=20)
     assert timestamp.epoch_wct == datetime.timedelta(seconds=10)
     assert timestamp.batch_wct == datetime.timedelta(seconds=10)
 
-    # Step batch 1 in epoch 0
+    # Step batch 1 in epoch 1
     timestamp = timestamp.to_next_batch(5, 1, datetime.timedelta(seconds=10))
     assert timestamp.epoch == 1
     assert timestamp.batch == 3
@@ -186,10 +186,23 @@ def test_timestamp_to_next_batch_epoch():
     assert timestamp.sample_in_epoch == 10
     assert timestamp.token == 21
     assert timestamp.token_in_epoch == 1
-    assert timestamp.total_wct == datetime.timedelta(seconds=25)
+    assert timestamp.total_wct == datetime.timedelta(seconds=30)
     assert timestamp.epoch_wct == datetime.timedelta(seconds=20)
     assert timestamp.batch_wct == datetime.timedelta(seconds=10)
 
+    # Finish epoch 1
+    timestamp = timestamp.to_next_epoch()
+    assert timestamp.epoch == 2
+    assert timestamp.batch == 3
+    assert timestamp.batch_in_epoch == 0
+    assert timestamp.sample == 20
+    assert timestamp.sample_in_epoch == 0
+    assert timestamp.token == 21
+    assert timestamp.token_in_epoch == 0
+    assert timestamp.total_wct == datetime.timedelta(seconds=30)
+    assert timestamp.epoch_wct == datetime.timedelta(seconds=0)
+    assert timestamp.batch_wct == datetime.timedelta(seconds=0)
+
 
 def test_timestamp_repr():
     timestamp = Timestamp()