diff --git a/dlls/wined3d/directx.c b/dlls/wined3d/directx.c
index 89506b1b02e..164f9c95baf 100644
--- a/dlls/wined3d/directx.c
+++ b/dlls/wined3d/directx.c
@@ -4049,7 +4049,11 @@ static BOOL wined3d_adapter_init_gl_caps(struct wined3d_adapter *adapter,
         gl_info->supported[WINED3D_GL_BLEND_EQUATION] = TRUE;
 
     if (gl_version >= MAKEDWORD_VERSION(2, 0))
+    {
         gl_info->supported[WINED3D_GL_VERSION_2_0] = TRUE;
+        /* We want to use the core APIs for two-sided stencil in GL 2.0. */
+        gl_info->supported[EXT_STENCIL_TWO_SIDE] = FALSE;
+    }
     if (gl_version >= MAKEDWORD_VERSION(3, 2))
         gl_info->supported[WINED3D_GL_VERSION_3_2] = TRUE;
 
diff --git a/dlls/wined3d/state.c b/dlls/wined3d/state.c
index 175fd14a0ef..34e08e9ba51 100644
--- a/dlls/wined3d/state.c
+++ b/dlls/wined3d/state.c
@@ -1003,7 +1003,7 @@ static void state_stencil(struct wined3d_context *context, const struct wined3d_
     }
 }
 
-static void state_stencilwrite2s(struct wined3d_context *context, const struct wined3d_state *state, DWORD state_id)
+static void state_stencilwrite2s_ext(struct wined3d_context *context, const struct wined3d_state *state, DWORD state_id)
 {
     DWORD mask = state->fb->depth_stencil ? state->render_states[WINED3D_RS_STENCILWRITEMASK] : 0;
     const struct wined3d_gl_info *gl_info = context->gl_info;
@@ -4603,7 +4603,7 @@ const struct StateEntryTemplate misc_state_template[] =
     { STATE_RENDER(WINED3D_RS_STENCILFUNC),               { STATE_RENDER(WINED3D_RS_STENCILENABLE),             NULL                }, WINED3D_GL_EXT_NONE             },
     { STATE_RENDER(WINED3D_RS_STENCILREF),                { STATE_RENDER(WINED3D_RS_STENCILENABLE),             NULL                }, WINED3D_GL_EXT_NONE             },
     { STATE_RENDER(WINED3D_RS_STENCILMASK),               { STATE_RENDER(WINED3D_RS_STENCILENABLE),             NULL                }, WINED3D_GL_EXT_NONE             },
-    { STATE_RENDER(WINED3D_RS_STENCILWRITEMASK),          { STATE_RENDER(WINED3D_RS_STENCILWRITEMASK),          state_stencilwrite2s}, EXT_STENCIL_TWO_SIDE            },
+    { STATE_RENDER(WINED3D_RS_STENCILWRITEMASK),          { STATE_RENDER(WINED3D_RS_STENCILWRITEMASK),          state_stencilwrite2s_ext}, EXT_STENCIL_TWO_SIDE        },
     { STATE_RENDER(WINED3D_RS_STENCILWRITEMASK),          { STATE_RENDER(WINED3D_RS_STENCILWRITEMASK),          state_stencilwrite  }, WINED3D_GL_EXT_NONE             },
     { STATE_RENDER(WINED3D_RS_TWOSIDEDSTENCILMODE),       { STATE_RENDER(WINED3D_RS_STENCILENABLE),             NULL                }, WINED3D_GL_EXT_NONE             },
     { STATE_RENDER(WINED3D_RS_BACK_STENCILFAIL),          { STATE_RENDER(WINED3D_RS_STENCILENABLE),             NULL                }, WINED3D_GL_EXT_NONE             },