diff --git a/.gitlab/gen_ci.hs b/.gitlab/gen_ci.hs
index 9b59893bc294fa8911bc285f235a97f284665a27..702fb5d9c1882c9d32033f2c74f8e3de14543fc2 100755
--- a/.gitlab/gen_ci.hs
+++ b/.gitlab/gen_ci.hs
@@ -935,7 +935,7 @@ job_groups =
 
     make_wasm_jobs cfg =
       modifyJobs
-        ( delVariable "BROKEN_TESTS"
+        ( setVariable "BROKEN_TESTS" "hpc001 hpc_fork tough tough2"
             . setVariable "HADRIAN_ARGS" "--docs=none"
             . delVariable "INSTALL_CONFIGURE_ARGS"
         )
diff --git a/.gitlab/jobs.yaml b/.gitlab/jobs.yaml
index 71b65ec49f0d6d2c0a0636eeb0e794bcee5e6d8e..a3dcaa6f3a09fc6c5a354c5f9bded3f74d9705d7 100644
--- a/.gitlab/jobs.yaml
+++ b/.gitlab/jobs.yaml
@@ -724,6 +724,7 @@
     "variables": {
       "BIGNUM_BACKEND": "gmp",
       "BIN_DIST_NAME": "ghc-x86_64-linux-alpine3_20-wasm-cross_wasm32-wasi-release+host_fully_static",
+      "BROKEN_TESTS": "hpc001 hpc_fork tough tough2",
       "BUILD_FLAVOUR": "release+host_fully_static",
       "CONFIGURE_ARGS": "--with-intree-gmp --with-system-libffi",
       "CROSS_TARGET": "wasm32-wasi",
@@ -785,6 +786,7 @@
     "variables": {
       "BIGNUM_BACKEND": "native",
       "BIN_DIST_NAME": "ghc-x86_64-linux-alpine3_20-wasm-int_native-cross_wasm32-wasi-release+host_fully_static",
+      "BROKEN_TESTS": "hpc001 hpc_fork tough tough2",
       "BUILD_FLAVOUR": "release+host_fully_static",
       "CONFIGURE_ARGS": "--with-intree-gmp --with-system-libffi",
       "CROSS_TARGET": "wasm32-wasi",
@@ -846,6 +848,7 @@
     "variables": {
       "BIGNUM_BACKEND": "gmp",
       "BIN_DIST_NAME": "ghc-x86_64-linux-alpine3_20-wasm-unreg-cross_wasm32-wasi-release+host_fully_static",
+      "BROKEN_TESTS": "hpc001 hpc_fork tough tough2",
       "BUILD_FLAVOUR": "release+host_fully_static",
       "CONFIGURE_ARGS": "--enable-unregisterised --with-intree-gmp --with-system-libffi",
       "CROSS_TARGET": "wasm32-wasi",
@@ -3756,6 +3759,7 @@
     "variables": {
       "BIGNUM_BACKEND": "gmp",
       "BIN_DIST_NAME": "ghc-x86_64-linux-alpine3_20-wasm-cross_wasm32-wasi-release+host_fully_static",
+      "BROKEN_TESTS": "hpc001 hpc_fork tough tough2",
       "BUILD_FLAVOUR": "release+host_fully_static",
       "CONFIGURE_ARGS": "--with-intree-gmp --with-system-libffi",
       "CROSS_TARGET": "wasm32-wasi",
@@ -3817,6 +3821,7 @@
     "variables": {
       "BIGNUM_BACKEND": "native",
       "BIN_DIST_NAME": "ghc-x86_64-linux-alpine3_20-wasm-int_native-cross_wasm32-wasi-release+host_fully_static",
+      "BROKEN_TESTS": "hpc001 hpc_fork tough tough2",
       "BUILD_FLAVOUR": "release+host_fully_static",
       "CONFIGURE_ARGS": "--with-intree-gmp --with-system-libffi",
       "CROSS_TARGET": "wasm32-wasi",
@@ -3878,6 +3883,7 @@
     "variables": {
       "BIGNUM_BACKEND": "gmp",
       "BIN_DIST_NAME": "ghc-x86_64-linux-alpine3_20-wasm-unreg-cross_wasm32-wasi-release+host_fully_static",
+      "BROKEN_TESTS": "hpc001 hpc_fork tough tough2",
       "BUILD_FLAVOUR": "release+host_fully_static",
       "CONFIGURE_ARGS": "--enable-unregisterised --with-intree-gmp --with-system-libffi",
       "CROSS_TARGET": "wasm32-wasi",