diff --git a/src/gallium/drivers/panfrost/pan_resource.c b/src/gallium/drivers/panfrost/pan_resource.c
index 4e114f2ccbf..d653fe6ceb5 100644
--- a/src/gallium/drivers/panfrost/pan_resource.c
+++ b/src/gallium/drivers/panfrost/pan_resource.c
@@ -337,6 +337,10 @@ panfrost_should_afbc(struct panfrost_device *dev,
    if (pres->base.usage == PIPE_USAGE_STREAM)
       return false;
 
+   /* If constant (non-data-dependent) format is requested, don't AFBC: */
+   if (pres->base.bind & PIPE_BIND_CONST_BW)
+      return false;
+
    /* Only a small selection of formats are AFBC'able */
    if (!panfrost_format_supports_afbc(dev, fmt))
       return false;
diff --git a/src/gallium/drivers/panfrost/pan_screen.c b/src/gallium/drivers/panfrost/pan_screen.c
index 0286c01e7bb..5517c9891cb 100644
--- a/src/gallium/drivers/panfrost/pan_screen.c
+++ b/src/gallium/drivers/panfrost/pan_screen.c
@@ -123,6 +123,7 @@ panfrost_get_param(struct pipe_screen *screen, enum pipe_cap param)
    case PIPE_CAP_FRAMEBUFFER_NO_ATTACHMENT:
    case PIPE_CAP_QUADS_FOLLOW_PROVOKING_VERTEX_CONVENTION:
    case PIPE_CAP_SHADER_PACK_HALF_FLOAT:
+   case PIPE_CAP_HAS_CONST_BW:
       return 1;
 
    case PIPE_CAP_MAX_RENDER_TARGETS: