diff --git a/ophyd_devices/sim/sim_positioner.py b/ophyd_devices/sim/sim_positioner.py
index a0bb397..f06824a 100644
--- a/ophyd_devices/sim/sim_positioner.py
+++ b/ophyd_devices/sim/sim_positioner.py
@@ -90,6 +90,7 @@ class SimPositioner(Device, PositionerBase):
         self._stopped = False
 
         self.sim = self.sim_cls(parent=self, **kwargs)
+        self._status_list = []
 
         super().__init__(name=name, parent=parent, kind=kind, **kwargs)
         self.sim.sim_state[self.name] = self.sim.sim_state.pop(self.readback.name, None)
@@ -155,46 +156,58 @@ class SimPositioner(Device, PositionerBase):
             timestamp=self.sim.sim_state[self.readback.name]["timestamp"],
         )
 
-    def _move_and_finish(self, start_pos, stop_pos, st):
-        """Move the simulated device and finish the motion."""
-        target = stop_pos + self.tolerance.get() * np.random.uniform(-1, 1)
-
-        updates = np.ceil(np.abs(target - start_pos) / self.velocity.get() * self.update_frequency)
-
+    def _move_to_setpoint(self) -> None:
+        """Move the simulated device to the setpoint."""
         try:
-            for ii in np.linspace(start_pos, target, int(updates)):
-                ttime.sleep(1 / self.update_frequency)
-                self._update_state(ii)
+            while True:
+                setpoint = self.setpoint.get()
+                value = self.readback.get()
+
+                increment = np.sign(setpoint - value) * self.velocity.get() / self.update_frequency
+                next_val = value + increment + np.random.uniform(-1, 1) * self.tolerance.get()
+
+                # Check if next_val would overshoot the setpoint
+                if (increment > 0 and next_val > setpoint) or (
+                    increment < 0 and next_val < setpoint
+                ):
+                    next_val = setpoint + np.random.uniform(-1, 1) * self.tolerance.get()
+
+                self._update_state(next_val)
+                if np.isclose(setpoint, next_val, atol=self.tolerance.get()):
+                    break
                 if self._stopped:
                     raise DeviceStopError(f"{self.name} was stopped")
-            self._update_state(target)
-            st.set_finished()
+                ttime.sleep(1 / self.update_frequency)
+            self._update_state(self.readback.get())
+            for status in self._status_list:
+                status.set_finished()
         # pylint: disable=broad-except
         except Exception as exc:
             content = traceback.format_exc()
             logger.warning(
                 f"Error in on_complete call in device {self.name}. Error traceback: {content}"
             )
-            st.set_exception(exc=exc)
+            for status in self._status_list:
+                status.set_exception(exc=exc)
         finally:
             self._set_sim_state(self.motor_is_moving.name, 0)
             if not self._stopped:
-                self._update_state(target)
+                self._update_state(self.readback.get())
+            self._status_list = []
 
     def move(self, value: float, **kwargs) -> DeviceStatus:
         """Change the setpoint of the simulated device, and simultaneously initiate a motion."""
         self._stopped = False
         self.check_value(value)
-        start_pos = self._get_sim_state(self.setpoint.name)
         self._set_sim_state(self.motor_is_moving.name, 1)
         self._set_sim_state(self.setpoint.name, value)
 
         st = DeviceStatus(device=self)
+        self._status_list.append(st)
         if self.delay:
-            self.move_thread = threading.Thread(
-                target=self._move_and_finish, args=(start_pos, value, st)
-            )
-            self.move_thread.start()
+            if self.move_thread is None or not self.move_thread.is_alive():
+                self.move_thread = threading.Thread(target=self._move_to_setpoint)
+                self.move_thread.start()
         else:
             self._done_moving()
             self._set_sim_state(self.motor_is_moving.name, 0)
@@ -254,3 +267,26 @@ class SimLinearTrajectoryPositioner(SimPositioner):
             st.set_exception(exc=exc)
         finally:
             self._set_sim_state(self.motor_is_moving.name, 0)
+
+    def move(self, value: float, **kwargs) -> DeviceStatus:
+        """Change the setpoint of the simulated device, and simultaneously initiate a motion."""
+        self._stopped = False
+        self.check_value(value)
+        self._set_sim_state(self.motor_is_moving.name, 1)
+        self._set_sim_state(self.setpoint.name, value)
+
+        st = DeviceStatus(device=self)
+        if self.delay:
+            if self.move_thread is None or not self.move_thread.is_alive():
+                self.move_thread = threading.Thread(
+                    target=self._move_and_finish, args=(self.position, value, st)
+                )
+                self.move_thread.start()
+            else:
+                raise RuntimeError(f"{self.name} is already moving. Cannot start a new move.")
+        else:
+            self._done_moving()
+            self._set_sim_state(self.motor_is_moving.name, 0)
+            self._update_state(value)
+            st.set_finished()
+        return st