diff --git a/src/gallium/drivers/llvmpipe/lp_screen.c b/src/gallium/drivers/llvmpipe/lp_screen.c
index 37bb29f9543..96c7623c461 100644
--- a/src/gallium/drivers/llvmpipe/lp_screen.c
+++ b/src/gallium/drivers/llvmpipe/lp_screen.c
@@ -241,7 +241,7 @@ llvmpipe_get_param(struct pipe_screen *screen, enum pipe_cap param)
    case PIPE_CAP_MAX_TEXTURE_BUFFER_SIZE:
       return 65536;
    case PIPE_CAP_TEXTURE_BUFFER_OFFSET_ALIGNMENT:
-      return 1;
+      return 16;
    case PIPE_CAP_PREFER_BLIT_BASED_TEXTURE_TRANSFER:
       return 0;
    case PIPE_CAP_MAX_VIEWPORTS: