diff --git a/src/gallium/drivers/panfrost/pan_screen.c b/src/gallium/drivers/panfrost/pan_screen.c
index eaa2b7e5b33..8c119168a16 100644
--- a/src/gallium/drivers/panfrost/pan_screen.c
+++ b/src/gallium/drivers/panfrost/pan_screen.c
@@ -219,11 +219,11 @@ panfrost_get_param(struct pipe_screen *screen, enum pipe_cap param)
                 return 1;
 
         case PIPE_CAP_MAX_TEXTURE_2D_SIZE:
-                return 4096;
+                return 1 << (MAX_MIP_LEVELS - 1);
+
         case PIPE_CAP_MAX_TEXTURE_3D_LEVELS:
-                return 13;
         case PIPE_CAP_MAX_TEXTURE_CUBE_LEVELS:
-                return 13;
+                return MAX_MIP_LEVELS;
 
         case PIPE_CAP_TGSI_FS_COORD_ORIGIN_LOWER_LEFT:
                 /* Hardware is natively upper left */
diff --git a/src/panfrost/include/panfrost-job.h b/src/panfrost/include/panfrost-job.h
index 67c9805e6c4..19e537fcebf 100644
--- a/src/panfrost/include/panfrost-job.h
+++ b/src/panfrost/include/panfrost-job.h
@@ -232,8 +232,11 @@ typedef uint64_t mali_ptr;
 
 #define MALI_POSITIVE(dim) (dim - 1)
 
-/* 8192x8192 */
-#define MAX_MIP_LEVELS (13)
+/* Mali hardware can texture up to 65536 x 65536 x 65536 and render up to 16384
+ * x 16384, but 8192 x 8192 should be enough for anyone.  The OpenGL game
+ * "Cathedral" requires a texture of width 8192 to start.
+ */
+#define MAX_MIP_LEVELS (14)
 
 /* Used for lod encoding. Thanks @urjaman for pointing out these routines can
  * be cleaned up a lot. */