diff --git a/dlls/wined3d/arb_program_shader.c b/dlls/wined3d/arb_program_shader.c
index 84ec4fc7de1..42b107a4c49 100644
--- a/dlls/wined3d/arb_program_shader.c
+++ b/dlls/wined3d/arb_program_shader.c
@@ -134,7 +134,7 @@ static unsigned int shader_arb_load_constantsF(IWineD3DBaseShaderImpl* This, Win
         ret = 0;
         LIST_FOR_EACH_ENTRY(lconst, &This->baseShader.constantsF, local_constant, entry) {
             dirty_consts[lconst->idx] = 1; /* Dirtify so the non-immediate constant overwrites it next time */
-            ret = max(ret, lconst->idx);
+            ret = max(ret, lconst->idx + 1);
             GL_EXTCALL(glProgramEnvParameter4fvARB(target_type, lconst->idx, (GLfloat*)lconst->value));
         }
         checkGLcall("glProgramEnvParameter4fvARB()");
diff --git a/dlls/wined3d/device.c b/dlls/wined3d/device.c
index 7a0cce29792..26c1c9caad3 100644
--- a/dlls/wined3d/device.c
+++ b/dlls/wined3d/device.c
@@ -3602,7 +3602,7 @@ UINT count) {
      */
     memset(This->activeContext->vshader_const_dirty + start, 1,
            sizeof(*This->activeContext->vshader_const_dirty) * count);
-    This->highest_dirty_vs_const = max(This->highest_dirty_vs_const, start+count);
+    This->highest_dirty_vs_const = max(This->highest_dirty_vs_const, start+count+1);
 
     IWineD3DDeviceImpl_MarkStateDirty(This, STATE_VERTEXSHADERCONSTANT);
 
@@ -4030,7 +4030,7 @@ static HRESULT WINAPI IWineD3DDeviceImpl_SetPixelShaderConstantF_DirtyConst(
      */
     memset(This->activeContext->pshader_const_dirty + start, 1,
            sizeof(*This->activeContext->pshader_const_dirty) * count);
-    This->highest_dirty_ps_const = max(This->highest_dirty_ps_const, start+count);
+    This->highest_dirty_ps_const = max(This->highest_dirty_ps_const, start+count+1);
 
     IWineD3DDeviceImpl_MarkStateDirty(This, STATE_PIXELSHADERCONSTANT);