diff --git a/tests/rebuilds/kernel/main.fmf b/tests/rebuilds/kernel/main.fmf
index 9fb99b3..ef9fc3f 100644
--- a/tests/rebuilds/kernel/main.fmf
+++ b/tests/rebuilds/kernel/main.fmf
@@ -66,3 +66,15 @@ adjust+:
     when: distro == rhel and arch != ppc64le and arch != s390x
     require+:
       - pesign
+
+  - because: "kernel rebuild fails because of discovering build issues"
+    when: collection == gcc-toolset-13
+    enabled: false
+
+  - because: "kernel rebuild fails because of discovering build issues"
+    when: collection == gcc-toolset-12
+    enabled: false
+
+  - because: "kernel rebuild fails because of discovering build issues"
+    when: collection == gcc-toolset-11
+    enabled: false