diff --git a/dlls/d3d9/directx.c b/dlls/d3d9/directx.c
index fe7163fa88a..08c3131614f 100644
--- a/dlls/d3d9/directx.c
+++ b/dlls/d3d9/directx.c
@@ -580,7 +580,8 @@ BOOL d3d9_init(struct d3d9 *d3d9, BOOL extended)
 {
     DWORD flags = WINED3D_PRESENT_CONVERSION | WINED3D_HANDLE_RESTORE | WINED3D_PIXEL_CENTER_INTEGER
             | WINED3D_SRGB_READ_WRITE_CONTROL | WINED3D_LEGACY_UNBOUND_RESOURCE_COLOR
-            | WINED3D_NO_PRIMITIVE_RESTART | WINED3D_LEGACY_CUBEMAP_FILTERING;
+            | WINED3D_NO_PRIMITIVE_RESTART | WINED3D_LEGACY_CUBEMAP_FILTERING
+            | WINED3D_NORMALIZED_DEPTH_BIAS;
 
     if (!extended)
         flags |= WINED3D_VIDMEM_ACCOUNTING;
diff --git a/dlls/wined3d/state.c b/dlls/wined3d/state.c
index 0b7c7474746..db1711ef76c 100644
--- a/dlls/wined3d/state.c
+++ b/dlls/wined3d/state.c
@@ -1692,7 +1692,7 @@ static void state_depthbias(struct wined3d_context *context, const struct wined3
             || state->render_states[WINED3D_RS_DEPTHBIAS])
     {
         const struct wined3d_rendertarget_view *depth = state->fb->depth_stencil;
-        float scale;
+        float factor, units, scale;
 
         union
         {
@@ -1703,14 +1703,9 @@ static void state_depthbias(struct wined3d_context *context, const struct wined3
         scale_bias.d = state->render_states[WINED3D_RS_SLOPESCALEDEPTHBIAS];
         const_bias.d = state->render_states[WINED3D_RS_DEPTHBIAS];
 
-        gl_info->gl_ops.gl.p_glEnable(GL_POLYGON_OFFSET_FILL);
-        checkGLcall("glEnable(GL_POLYGON_OFFSET_FILL)");
-
         if (context->d3d_info->wined3d_creation_flags & WINED3D_LEGACY_DEPTH_BIAS)
         {
-            float bias = -(float)const_bias.d;
-            gl_info->gl_ops.gl.p_glPolygonOffset(bias, bias);
-            checkGLcall("glPolygonOffset");
+            factor = units = -(float)const_bias.d;
         }
         else
         {
@@ -1719,24 +1714,28 @@ static void state_depthbias(struct wined3d_context *context, const struct wined3
                 scale = depth->format->depth_bias_scale;
 
                 TRACE("Depth format %s, using depthbias scale of %.8e.\n",
-                      debug_d3dformat(depth->format->id), scale);
+                        debug_d3dformat(depth->format->id), scale);
             }
             else
             {
                 /* The context manager will reapply this state on a depth stencil change */
-                TRACE("No depth stencil, using depthbias scale of 0.0.\n");
+                TRACE("No depth stencil, using depth bias scale of 0.0.\n");
                 scale = 0.0f;
             }
 
-            gl_info->gl_ops.gl.p_glPolygonOffset(scale_bias.f, const_bias.f * scale);
-            checkGLcall("glPolygonOffset(...)");
+            factor = scale_bias.f;
+            units = const_bias.f * scale;
         }
+
+        gl_info->gl_ops.gl.p_glEnable(GL_POLYGON_OFFSET_FILL);
+        gl_info->gl_ops.gl.p_glPolygonOffset(factor, units);
     }
     else
     {
         gl_info->gl_ops.gl.p_glDisable(GL_POLYGON_OFFSET_FILL);
-        checkGLcall("glDisable(GL_POLYGON_OFFSET_FILL)");
     }
+
+    checkGLcall("depth bias");
 }
 
 static void state_zvisible(struct wined3d_context *context, const struct wined3d_state *state, DWORD state_id)
diff --git a/dlls/wined3d/utils.c b/dlls/wined3d/utils.c
index 76b1d8998ac..b3003f13028 100644
--- a/dlls/wined3d/utils.c
+++ b/dlls/wined3d/utils.c
@@ -3706,7 +3706,8 @@ static float wined3d_adapter_find_polyoffset_scale(struct wined3d_caps_gl_ctx *c
     return (float)(1u << cur);
 }
 
-static void init_format_depth_bias_scale(struct wined3d_caps_gl_ctx *ctx)
+static void init_format_depth_bias_scale(struct wined3d_caps_gl_ctx *ctx,
+        const struct wined3d_d3d_info *d3d_info)
 {
     const struct wined3d_gl_info *gl_info = ctx->gl_info;
     unsigned int i;
@@ -3719,6 +3720,17 @@ static void init_format_depth_bias_scale(struct wined3d_caps_gl_ctx *ctx)
         {
             TRACE("Testing depth bias scale for format %s.\n", debug_d3dformat(format->id));
             format->depth_bias_scale = wined3d_adapter_find_polyoffset_scale(ctx, format->glInternal);
+
+            if (!(d3d_info->wined3d_creation_flags & WINED3D_NORMALIZED_DEPTH_BIAS))
+            {
+                /* The single-precision binary floating-point format has
+                 * a significand precision of 24 bits.
+                 */
+                if (format->flags[WINED3D_GL_RES_TYPE_TEX_2D] & WINED3DFMT_FLAG_FLOAT)
+                    format->depth_bias_scale /= 1u << 24;
+                else
+                    format->depth_bias_scale /= 1u << format->depth_size;
+            }
         }
     }
 }
@@ -3741,7 +3753,7 @@ BOOL wined3d_adapter_init_format_info(struct wined3d_adapter *adapter, struct wi
     init_format_fbo_compat_info(ctx);
     init_format_filter_info(gl_info, adapter->driver_info.vendor);
     if (!init_typeless_formats(gl_info)) goto fail;
-    init_format_depth_bias_scale(ctx);
+    init_format_depth_bias_scale(ctx, &adapter->d3d_info);
 
     return TRUE;
 
diff --git a/include/wine/wined3d.h b/include/wine/wined3d.h
index 282e7338db4..a519e94bb30 100644
--- a/include/wine/wined3d.h
+++ b/include/wine/wined3d.h
@@ -1306,6 +1306,7 @@ enum wined3d_shader_byte_code_format
 #define WINED3D_LEGACY_UNBOUND_RESOURCE_COLOR                   0x00000400
 #define WINED3D_NO_PRIMITIVE_RESTART                            0x00000800
 #define WINED3D_LEGACY_CUBEMAP_FILTERING                        0x00001000
+#define WINED3D_NORMALIZED_DEPTH_BIAS                           0x00002000
 
 #define WINED3D_RESZ_CODE                                       0x7fa05000