diff --git a/tests/testsuite/main.fmf b/tests/testsuite/main.fmf
index a279b49..6124601 100644
--- a/tests/testsuite/main.fmf
+++ b/tests/testsuite/main.fmf
@@ -18,16 +18,38 @@ require+:
 
 # Adjust rules
 adjust+:
-  - because: "On RHEL-9, system binutils build extra binaries for cross compilation"
+  - because: "On RHEL-9.3.0 and newer, system binutils build extra binaries for cross compilation"
     when: distro == rhel-9.3.0 and collection is not defined
     test: "$WITH_SCL ./test-rhel-9.3.0.sh"
 
-  - because: "On RHEL-9, gcc-toolset-13 binutils build has extra directory levels"
+  - because: "On RHEL-9.3.0 and newer, system binutils build extra binaries for cross compilation"
+    when: distro == rhel-9.4.0 and collection is not defined
+    test: "$WITH_SCL ./test-rhel-9.3.0.sh"
+
+  - because: "On RHEL-9.3.0 and newer, gcc-toolset-13 binutils build has extra directory levels"
     when: distro == rhel-9.3.0 and collection == gcc-toolset-13
     test: "$WITH_SCL ./test-rhel-9.3.0.sh"
     environment+:
         CROSS_BINUTILS: "no"
 
+  - because: "On RHEL-9.3.0 and newer, gcc-toolset-13 binutils build has extra directory levels"
+    when: distro == rhel-9.4.0 and collection == gcc-toolset-13
+    test: "$WITH_SCL ./test-rhel-9.3.0.sh"
+    environment+:
+        CROSS_BINUTILS: "no"
+
+  - because: "On RHEL-8.10.0 and newer, system binutils build extra binaries for cross compilation"
+    when: distro == rhel-8.10.0 and collection is not defined
+    test: "$WITH_SCL ./test-rhel-9.3.0.sh"
+    environment+:
+        CROSS_BINUTILS: "no"
+
+  - because: "On RHEL-8.10.0 and newer, gcc-toolset-13 binutils build has extra directory levels"
+    when: distro == rhel-8.10.0 and collection == gcc-toolset-13
+    test: "$WITH_SCL ./test-rhel-9.3.0.sh"
+    environment+:
+        CROSS_BINUTILS: "no"
+
   - because: "On CentOS Stream 9, system binutils build extra binaries for cross compilation"
     when: distro == centos-stream-9 and collection is not defined
     test: "$WITH_SCL ./test-rhel-9.3.0.sh"