diff --git a/dlls/wined3d/adapter_gl.c b/dlls/wined3d/adapter_gl.c
index f2cbb068605..9040fad8a99 100644
--- a/dlls/wined3d/adapter_gl.c
+++ b/dlls/wined3d/adapter_gl.c
@@ -4635,13 +4635,7 @@ static void *adapter_gl_map_bo_address(struct wined3d_context *context,
 static void adapter_gl_unmap_bo_address(struct wined3d_context *context, const struct wined3d_bo_address *data,
         uint32_t bind_flags, unsigned int range_count, const struct wined3d_range *ranges)
 {
-    struct wined3d_context_gl *context_gl;
-    GLenum binding;
-
-    context_gl = wined3d_context_gl(context);
-    binding = wined3d_buffer_gl_binding_from_bind_flags(context_gl->gl_info, bind_flags);
-
-    wined3d_context_gl_unmap_bo_address(context_gl, data, binding, range_count, ranges);
+    wined3d_context_gl_unmap_bo_address(wined3d_context_gl(context), data, range_count, ranges);
 }
 
 static void adapter_gl_copy_bo_address(struct wined3d_context *context,
diff --git a/dlls/wined3d/context_gl.c b/dlls/wined3d/context_gl.c
index 2bb11c30680..a1aa3c0bb96 100644
--- a/dlls/wined3d/context_gl.c
+++ b/dlls/wined3d/context_gl.c
@@ -2554,8 +2554,8 @@ void *wined3d_context_gl_map_bo_address(struct wined3d_context_gl *context_gl,
     return memory;
 }
 
-void wined3d_context_gl_unmap_bo_address(struct wined3d_context_gl *context_gl, const struct wined3d_bo_address *data,
-        GLenum binding, unsigned int range_count, const struct wined3d_range *ranges)
+void wined3d_context_gl_unmap_bo_address(struct wined3d_context_gl *context_gl,
+        const struct wined3d_bo_address *data, unsigned int range_count, const struct wined3d_range *ranges)
 {
     const struct wined3d_gl_info *gl_info;
     struct wined3d_bo_gl *bo;
@@ -2565,18 +2565,19 @@ void wined3d_context_gl_unmap_bo_address(struct wined3d_context_gl *context_gl,
         return;
 
     gl_info = context_gl->gl_info;
-    wined3d_context_gl_bind_bo(context_gl, binding, bo->id);
+    wined3d_context_gl_bind_bo(context_gl, bo->binding, bo->id);
 
     if (gl_info->supported[ARB_MAP_BUFFER_RANGE])
     {
         for (i = 0; i < range_count; ++i)
         {
-            GL_EXTCALL(glFlushMappedBufferRange(binding, (UINT_PTR)data->addr + ranges[i].offset, ranges[i].size));
+            GL_EXTCALL(glFlushMappedBufferRange(bo->binding,
+                    (UINT_PTR)data->addr + ranges[i].offset, ranges[i].size));
         }
     }
 
-    GL_EXTCALL(glUnmapBuffer(binding));
-    wined3d_context_gl_bind_bo(context_gl, binding, 0);
+    GL_EXTCALL(glUnmapBuffer(bo->binding));
+    wined3d_context_gl_bind_bo(context_gl, bo->binding, 0);
     checkGLcall("Unmap buffer object");
 }
 
@@ -2611,8 +2612,8 @@ void wined3d_context_gl_copy_bo_address(struct wined3d_context_gl *context_gl,
 
             range.offset = 0;
             range.size = size;
-            wined3d_context_gl_unmap_bo_address(context_gl, dst, dst_bo->binding, 1, &range);
-            wined3d_context_gl_unmap_bo_address(context_gl, src, src_bo->binding, 0, NULL);
+            wined3d_context_gl_unmap_bo_address(context_gl, dst, 1, &range);
+            wined3d_context_gl_unmap_bo_address(context_gl, src, 0, NULL);
         }
     }
     else if (!dst_bo && src_bo)
diff --git a/dlls/wined3d/texture.c b/dlls/wined3d/texture.c
index e549a413099..7f317335477 100644
--- a/dlls/wined3d/texture.c
+++ b/dlls/wined3d/texture.c
@@ -2178,7 +2178,7 @@ static void wined3d_texture_gl_upload_data(struct wined3d_context *context,
                     dst_z + z, update_w, update_h, 1, converted_mem, srgb, dst_texture, gl_info);
         }
 
-        wined3d_context_gl_unmap_bo_address(context_gl, &bo, GL_PIXEL_UNPACK_BUFFER, 0, NULL);
+        wined3d_context_gl_unmap_bo_address(context_gl, &bo, 0, NULL);
         heap_free(converted_mem);
     }
     else
@@ -2820,7 +2820,7 @@ static BOOL wined3d_texture_gl_load_texture(struct wined3d_texture_gl *texture_g
                 width, height, &texture_gl->t.async.gl_color_key);
         src_row_pitch = dst_row_pitch;
         src_slice_pitch = dst_slice_pitch;
-        wined3d_context_gl_unmap_bo_address(context_gl, &data, GL_PIXEL_UNPACK_BUFFER, 0, NULL);
+        wined3d_context_gl_unmap_bo_address(context_gl, &data, 0, NULL);
 
         data.buffer_object = 0;
         data.addr = dst_mem;
diff --git a/dlls/wined3d/wined3d_private.h b/dlls/wined3d/wined3d_private.h
index f835432b685..6a6b26a6ff5 100644
--- a/dlls/wined3d/wined3d_private.h
+++ b/dlls/wined3d/wined3d_private.h
@@ -2209,7 +2209,7 @@ void wined3d_context_gl_texture_update(struct wined3d_context_gl *context_gl,
         const struct wined3d_texture_gl *texture_gl) DECLSPEC_HIDDEN;
 void wined3d_context_gl_unload_tex_coords(const struct wined3d_context_gl *context_gl) DECLSPEC_HIDDEN;
 void wined3d_context_gl_unmap_bo_address(struct wined3d_context_gl *context_gl, const struct wined3d_bo_address *data,
-        GLenum binding, unsigned int range_count, const struct wined3d_range *ranges) DECLSPEC_HIDDEN;
+        unsigned int range_count, const struct wined3d_range *ranges) DECLSPEC_HIDDEN;
 void wined3d_context_gl_update_stream_sources(struct wined3d_context_gl *context_gl,
         const struct wined3d_state *state) DECLSPEC_HIDDEN;