diff --git a/tests/fixtures.py b/tests/fixtures.py
index 4c362c83..40c26c54 100644
--- a/tests/fixtures.py
+++ b/tests/fixtures.py
@@ -216,10 +216,10 @@ def multi_expression(thresh, keys, is_taproot):
     return exp + ")"
 
 
-def multisig_desc(multi_signer, csv_value, is_taproot):
+def multisig_desc(multi_signer, csv_value, is_taproot, prim_thresh, recov_thresh):
     prim_multi, recov_multi = (
-        multi_expression(3, multi_signer.prim_hds, is_taproot),
-        multi_expression(2, multi_signer.recov_hds[csv_value], is_taproot),
+        multi_expression(prim_thresh, multi_signer.prim_hds, is_taproot),
+        multi_expression(recov_thresh, multi_signer.recov_hds[csv_value], is_taproot),
     )
     if is_taproot:
         all_xpubs = [
@@ -239,9 +239,7 @@ def lianad_multisig(bitcoin_backend, directory):
     # A 3-of-4 that degrades into a 2-of-5 after 10 blocks
     csv_value = 10
     signer = MultiSigner(4, {csv_value: 5}, is_taproot=USE_TAPROOT)
-    main_desc = Descriptor.from_str(
-        multisig_desc(signer, csv_value, is_taproot=USE_TAPROOT)
-    )
+    main_desc = Descriptor.from_str(multisig_desc(signer, csv_value, USE_TAPROOT, 3, 2))
 
     lianad = Lianad(
         datadir,