diff --git a/openmc/deplete/abc.py b/openmc/deplete/abc.py
index c304b8dc621..4b43dd22149 100644
--- a/openmc/deplete/abc.py
+++ b/openmc/deplete/abc.py
@@ -818,10 +818,35 @@ def _get_bos_data_from_restart(self, source_rate, bos_conc):
             rates *= source_rate / res.source_rate
         return bos_conc, OperatorResult(k, rates)
 
-    def _get_start_data(self):
+    def _get_start_data(self) -> tuple[float, int]:
+        """
+        This function fetches the starting state of a depletion simulation in
+        terms of the simulation physical time at which to start and the index at
+        which the depletion simulation should start. When no previous results
+        exist, the time and index are both zero. When previous results do exist,
+        it returns the time corresponding to beginning the previous results last
+        timestep and the index as N-1 where N is the number of previous
+        StepResults found in the previous Results (as expected from 0-based
+        indexing).
+
+        Note that the openmc.deplete.Results.time object is a list of float with
+        [t,t+dt] where t is the beginning of timestep time and t+dt is the end
+        of timestep time. If the previous results correspond to a simulation
+        that finished to completeion, it will contain a results in the form of
+        [t,t], but if a simulation doesn't finish all the given timesteps, it is
+        the t that is the desired start time, not t+dt. Thus, it is always safe
+        to take time[0].
+
+        Returns
+        -------
+        start_time : float
+            Time at which depletion simulation should start in [s]
+        index : int
+            Index at which depletion simulation should start
+        """
         if self.operator.prev_res is None:
             return 0.0, 0
-        return (self.operator.prev_res[-1].time[-1],
+        return (self.operator.prev_res[-1].time[0],
                 len(self.operator.prev_res) - 1)
 
     def integrate(
diff --git a/tests/unit_tests/test_deplete_continue.py b/tests/unit_tests/test_deplete_continue.py
index 53c4c56d29f..637c9d5e440 100644
--- a/tests/unit_tests/test_deplete_continue.py
+++ b/tests/unit_tests/test_deplete_continue.py
@@ -4,6 +4,7 @@
 """
 
 import pytest
+import numpy as np
 import openmc.deplete
 
 from tests import dummy_operator
@@ -26,6 +27,43 @@ def test_continue(run_in_tmpdir):
     bundle.solver(operator, [1.0, 2.0, 3.0, 4.0], [1.0, 2.0, 3.0, 4.0],
                   continue_timesteps=True).integrate()
 
+    final_res = openmc.deplete.Results(operator.output_dir / "depletion_results.h5")
+
+    assert np.array_equal(
+        np.diff(final_res.get_times(time_units="s")),
+        [1.0, 2.0, 3.0, 4.0]
+    )
+
+
+def test_continue_continue(run_in_tmpdir):
+    """Test to ensure that a continue run can be continued"""
+    # set up the problem
+    bundle = dummy_operator.SCHEMES['predictor']
+    operator = dummy_operator.DummyOperator()
+
+    # initial depletion
+    bundle.solver(operator, [1.0, 2.0], [1.0, 2.0]).integrate()
+
+    # set up continue run
+    prev_res = openmc.deplete.Results(operator.output_dir / "depletion_results.h5")
+    operator = dummy_operator.DummyOperator(prev_res)
+
+    # first continue run
+    bundle.solver(operator, [1.0, 2.0, 3.0, 4.0], [1.0, 2.0, 3.0, 4.0],
+                  continue_timesteps=True).integrate()
+
+    prev_res = openmc.deplete.Results(operator.output_dir / "depletion_results.h5")
+    # second continue run
+    bundle.solver(operator, [1.0, 2.0, 3.0, 4.0, 5.0, 6.0], [1.0, 2.0, 3.0, 4.0, 5.0, 6.0],
+                  continue_timesteps=True).integrate()
+
+    final_res = openmc.deplete.Results(operator.output_dir / "depletion_results.h5")
+
+    assert np.array_equal(
+        np.diff(final_res.get_times(time_units="s")),
+        [1.0, 2.0, 3.0, 4.0, 5.0, 6.0]
+    )
+
 
 def test_mismatched_initial_times(run_in_tmpdir):
     """Test to ensure that a continue run with different initial steps is properly caught"""