diff --git a/.github/workflows/weekly.yml b/.github/workflows/weekly.yml
index db43200de2..b37e3b0f90 100644
--- a/.github/workflows/weekly.yml
+++ b/.github/workflows/weekly.yml
@@ -16,7 +16,7 @@ jobs:
             container: openquantumsafe/ci-ubuntu-focal-x86_64:latest
             CMAKE_ARGS: -DOQS_OPT_TARGET=generic -DCMAKE_BUILD_TYPE=Debug -DOQS_ENABLE_TEST_CONSTANT_TIME=ON
             PYTEST_ARGS: --numprocesses=auto -k 'test_constant_time'
-            SKIP_ALGS: 'SPHINCS\+-SHA*'
+            SKIP_ALGS: 'SPHINCS\+-SHA*, Classic-McEliece-(.)*, BIKE(.)*'
           - name: extensions
             container: openquantumsafe/ci-ubuntu-focal-x86_64:latest
             CMAKE_ARGS: -DOQS_OPT_TARGET=haswell -DCMAKE_BUILD_TYPE=Debug -DOQS_ENABLE_TEST_CONSTANT_TIME=ON
diff --git a/tests/constant_time/kem/issues/classic-mceliece-348864 b/tests/constant_time/kem/issues/classic-mceliece-348864
index f71ae9c0d3..07c1510ab1 100644
--- a/tests/constant_time/kem/issues/classic-mceliece-348864
+++ b/tests/constant_time/kem/issues/classic-mceliece-348864
@@ -174,6 +174,14 @@
    fun:PQCLEAN_MCELIECE348864_AVX2_crypto_kem_keypair
 }
 
+{
+   This implementation of Classic McEliece may not be constant time.
+   Memcheck:Value8
+   src:pk_gen.c:322
+   # fun:PQCLEAN_MCELIECE348864_AVX2_pk_gen
+   fun:PQCLEAN_MCELIECE348864_AVX2_crypto_kem_keypair
+}
+
 {
    This implementation of Classic McEliece may not be constant time.
    Memcheck:Cond