diff --git a/tests/qemu-iotests/051 b/tests/qemu-iotests/051
index 53bcdbc911..a13bce2fd0 100755
--- a/tests/qemu-iotests/051
+++ b/tests/qemu-iotests/051
@@ -41,6 +41,7 @@ _supported_proto file
 # A compat=0.10 image is created in this test which does not support anything
 # other than refcount_bits=16
 _unsupported_imgopts 'refcount_bits=\([^1]\|.\([^6]\|$\)\)'
+_require_drivers nbd
 
 do_run_qemu()
 {
diff --git a/tests/qemu-iotests/267 b/tests/qemu-iotests/267
index 170e173c0a..b823668e29 100755
--- a/tests/qemu-iotests/267
+++ b/tests/qemu-iotests/267
@@ -40,6 +40,7 @@ trap "_cleanup; exit \$status" 0 1 2 3 15
 _supported_fmt qcow2
 _supported_proto file
 _supported_os Linux
+_require_drivers copy-on-read
 
 # Internal snapshots are (currently) impossible with refcount_bits=1
 _unsupported_imgopts 'refcount_bits=1[^0-9]'