diff --git a/src/gallium/drivers/zink/zink_screen.c b/src/gallium/drivers/zink/zink_screen.c
index 44c960b6e00..34bfe1fc04e 100644
--- a/src/gallium/drivers/zink/zink_screen.c
+++ b/src/gallium/drivers/zink/zink_screen.c
@@ -566,6 +566,8 @@ zink_get_param(struct pipe_screen *pscreen, enum pipe_cap param)
    }
    case PIPE_CAP_SUPPORTED_PRIM_MODES: {
       uint32_t modes = BITFIELD_MASK(MESA_PRIM_COUNT);
+      if (!screen->have_triangle_fans)
+        modes &= ~BITFIELD_BIT(MESA_PRIM_QUADS);
       modes &= ~BITFIELD_BIT(MESA_PRIM_QUAD_STRIP);
       modes &= ~BITFIELD_BIT(MESA_PRIM_POLYGON);
       modes &= ~BITFIELD_BIT(MESA_PRIM_LINE_LOOP);