diff --git a/History.md b/History.md
index 91442a9..4f2eaf2 100644
--- a/History.md
+++ b/History.md
@@ -2,6 +2,8 @@
 
 ## Unreleased
 
+- Calculate travel_offset to align with the precision of argument to Timecop.travel ([#421](https://github.com/travisjeffery/timecop/pull/421))
+
 ## v0.9.10
 
 - Make Process.clock_gettime configurable and turned off by default (for backwards compatability) ([#427](https://github.com/travisjeffery/timecop/pull/427))
diff --git a/lib/timecop/time_stack_item.rb b/lib/timecop/time_stack_item.rb
index ef49150..82373d6 100644
--- a/lib/timecop/time_stack_item.rb
+++ b/lib/timecop/time_stack_item.rb
@@ -157,7 +157,7 @@ def parse_time(*args)
     end
 
     def compute_travel_offset
-      time - Time.now_without_mock_time
+      time.to_r - Time.now_without_mock_time.to_r
     end
 
     def times_are_equal_within_epsilon t1, t2, epsilon_in_seconds
diff --git a/test/time_stack_item_test.rb b/test/time_stack_item_test.rb
index ed5ccf7..e65bbeb 100644
--- a/test/time_stack_item_test.rb
+++ b/test/time_stack_item_test.rb
@@ -296,4 +296,22 @@ def test_datetime_timezones
       assert_equal dt, now, "#{dt.to_f}, #{now.to_f}"
     end
   end
+
+  def test_travel_offset_aligns_to_clock
+    t = Time.now
+    stack_item = Timecop::TimeStackItem.new(:travel, t)
+    travel_offset_denom = stack_item.travel_offset.to_r.denominator
+    clock_resolution = Process.clock_getres(:CLOCK_REALTIME, :hertz)
+    assert_equal 0, clock_resolution.modulo(travel_offset_denom),
+      "travel offset precision (#{travel_offset_denom}) does not align with clock resolution (#{clock_resolution})"
+  end
+
+  def test_travel_offset_aligns_to_travel_time
+    t = Time.now + 0.001_002_003_004
+    stack_item = Timecop::TimeStackItem.new(:travel, t)
+    travel_offset_denom = stack_item.travel_offset.to_r.denominator
+    travel_time_denom = t.to_r.denominator
+    assert_equal 0, travel_time_denom.modulo(travel_offset_denom),
+      "travel offset precision (#{travel_offset_denom}) does not align with travel time precision (#{travel_time_denom})"
+  end
 end