diff --git a/selfdrive/controls/lib/drive_helpers.py b/selfdrive/controls/lib/drive_helpers.py
index 64cbf473d6..66b92319ca 100644
--- a/selfdrive/controls/lib/drive_helpers.py
+++ b/selfdrive/controls/lib/drive_helpers.py
@@ -5,12 +5,15 @@ from openpilot.common.realtime import DT_CTRL
 MIN_SPEED = 1.0
 CONTROL_N = 17
 CAR_ROTATION_RADIUS = 0.0
+# This is a turn radius smaller than most cars can achieve
+MAX_CURVATURE = 0.2
 
 # EU guidelines
 MAX_LATERAL_JERK = 5.0
 MAX_VEL_ERR = 5.0
 
 def clip_curvature(v_ego, prev_curvature, new_curvature):
+  new_curvature = clip(new_curvature, -MAX_CURVATURE, MAX_CURVATURE)
   v_ego = max(MIN_SPEED, v_ego)
   max_curvature_rate = MAX_LATERAL_JERK / (v_ego**2) # inexact calculation, check https://github.com/commaai/openpilot/pull/24755
   safe_desired_curvature = clip(new_curvature,
diff --git a/selfdrive/modeld/fill_model_msg.py b/selfdrive/modeld/fill_model_msg.py
index 115ec94f88..a13d632aa6 100644
--- a/selfdrive/modeld/fill_model_msg.py
+++ b/selfdrive/modeld/fill_model_msg.py
@@ -3,11 +3,22 @@ import capnp
 import numpy as np
 from cereal import log
 from openpilot.selfdrive.modeld.constants import ModelConstants, Plan, Meta
+from openpilot.selfdrive.controls.lib.drive_helpers import MIN_SPEED
 
 SEND_RAW_PRED = os.getenv('SEND_RAW_PRED')
 
 ConfidenceClass = log.ModelDataV2.ConfidenceClass
 
+def curv_from_psis(psi_target, psi_rate, vego, delay):
+  vego = np.clip(vego, MIN_SPEED, np.inf)
+  curv_from_psi = psi_target / (vego * delay)  # epsilon to prevent divide-by-zero
+  return 2*curv_from_psi - psi_rate / vego
+
+def get_curvature_from_plan(plan, vego, delay):
+  psi_target = np.interp(delay, ModelConstants.T_IDXS, plan[:, Plan.T_FROM_CURRENT_EULER][:, 2])
+  psi_rate = plan[:, Plan.ORIENTATION_RATE][0, 2]
+  return curv_from_psis(psi_target, psi_rate, vego, delay)
+
 class PublishState:
   def __init__(self):
     self.disengage_buffer = np.zeros(ModelConstants.CONFIDENCE_BUFFER_LEN*ModelConstants.DISENGAGE_WIDTH, dtype=np.float32)
@@ -55,14 +66,17 @@ def fill_lane_line_meta(builder, lane_lines, lane_line_probs):
   builder.rightProb = lane_line_probs[2]
 
 def fill_model_msg(base_msg: capnp._DynamicStructBuilder, extended_msg: capnp._DynamicStructBuilder,
-                   net_output_data: dict[str, np.ndarray], publish_state: PublishState,
-                   vipc_frame_id: int, vipc_frame_id_extra: int, frame_id: int, frame_drop: float,
-                   timestamp_eof: int, model_execution_time: float, valid: bool) -> None:
+                   net_output_data: dict[str, np.ndarray], v_ego: float, delay: float,
+                   publish_state: PublishState, vipc_frame_id: int, vipc_frame_id_extra: int,
+                   frame_id: int, frame_drop: float, timestamp_eof: int, model_execution_time: float,
+                   valid: bool) -> None:
   frame_age = frame_id - vipc_frame_id if frame_id > vipc_frame_id else 0
   frame_drop_perc = frame_drop * 100
   extended_msg.valid = valid
   base_msg.valid = valid
 
+  desired_curv = float(get_curvature_from_plan(net_output_data['plan'][0], v_ego, delay))
+
   driving_model_data = base_msg.drivingModelData
 
   driving_model_data.frameId = vipc_frame_id
@@ -71,7 +85,7 @@ def fill_model_msg(base_msg: capnp._DynamicStructBuilder, extended_msg: capnp._D
   driving_model_data.modelExecutionTime = model_execution_time
 
   action = driving_model_data.action
-  action.desiredCurvature = float(net_output_data['desired_curvature'][0,0])
+  action.desiredCurvature = desired_curv
 
   modelV2 = extended_msg.modelV2
   modelV2.frameId = vipc_frame_id
@@ -106,7 +120,7 @@ def fill_model_msg(base_msg: capnp._DynamicStructBuilder, extended_msg: capnp._D
 
   # lateral planning
   action = modelV2.action
-  action.desiredCurvature = float(net_output_data['desired_curvature'][0,0])
+  action.desiredCurvature = desired_curv
 
   # times at X_IDXS according to model plan
   PLAN_T_IDXS = [np.nan] * ModelConstants.IDX_N
diff --git a/selfdrive/modeld/modeld.py b/selfdrive/modeld/modeld.py
index 4b19d103b4..f406039951 100755
--- a/selfdrive/modeld/modeld.py
+++ b/selfdrive/modeld/modeld.py
@@ -295,7 +295,8 @@ def main(demo=False):
       modelv2_send = messaging.new_message('modelV2')
       drivingdata_send = messaging.new_message('drivingModelData')
       posenet_send = messaging.new_message('cameraOdometry')
-      fill_model_msg(drivingdata_send, modelv2_send, model_output, publish_state, meta_main.frame_id, meta_extra.frame_id, frame_id,
+      fill_model_msg(drivingdata_send, modelv2_send, model_output, v_ego, steer_delay,
+                     publish_state, meta_main.frame_id, meta_extra.frame_id, frame_id,
                      frame_drop_ratio, meta_main.timestamp_eof, model_execution_time, live_calib_seen)
 
       desire_state = modelv2_send.modelV2.meta.desireState
diff --git a/selfdrive/modeld/models/supercombo.onnx b/selfdrive/modeld/models/supercombo.onnx
index a57e5dd225..1588d4d576 100644
--- a/selfdrive/modeld/models/supercombo.onnx
+++ b/selfdrive/modeld/models/supercombo.onnx
@@ -1,3 +1,3 @@
 version https://git-lfs.github.com/spec/v1
-oid sha256:9dc64f5d1e7d6b67f1d4659a3483f03b4324b4c7b969a5ba90c4e37e62bf6fce
+oid sha256:dfe3ee4516187abac1198fda50d5961d6329b07e61e9d295be01a0ef2303f536
 size 50320584
diff --git a/selfdrive/test/process_replay/ref_commit b/selfdrive/test/process_replay/ref_commit
index d4892b51f2..c746ad22d5 100644
--- a/selfdrive/test/process_replay/ref_commit
+++ b/selfdrive/test/process_replay/ref_commit
@@ -1 +1 @@
-7a1b6253e715cec2a254c3e7b6839d6f2bd06fb1
+cae12bc0a2960de17104a9e22fafe33d797fbcee