diff --git a/tests/bugs/Disable-separate-code-for-aarch64/main.fmf b/tests/bugs/Disable-separate-code-for-aarch64/main.fmf
index 4569acf..36bfd85 100644
--- a/tests/bugs/Disable-separate-code-for-aarch64/main.fmf
+++ b/tests/bugs/Disable-separate-code-for-aarch64/main.fmf
@@ -5,7 +5,7 @@ duration: 10m
 link+:
   - verifies: https://issues.redhat.com/browse/RHEL-42954
 
-adjust+:
-  - when: arch != aarch64
-    because: Test is relevant for aarch64 only
-    enabled: false
+#adjust+:
+#  - when: arch != aarch64
+#    because: Test is relevant for aarch64 only
+#    enabled: false
diff --git a/tests/rebuilds/wget/main.fmf b/tests/rebuilds/wget/main.fmf
index 029c188..a7ef164 100644
--- a/tests/rebuilds/wget/main.fmf
+++ b/tests/rebuilds/wget/main.fmf
@@ -13,22 +13,6 @@ environment+:
   REQUIRES: "wget"
 
 adjust+:
-  - when: distro >= rhel-10
-    require+:
-      - wget2
-
-    environment+:
-      WGET_PACKAGE: "wget2"
-      REQUIRES: "wget2"
-
-  - when: distro >= centos-stream-10
-    require+:
-      - wget2
-
-    environment+:
-      WGET_PACKAGE: "wget2"
-      REQUIRES: "wget2"
-
   - when: distro >= fedora-39
     require+:
       - wget2
diff --git a/tests/testsuite/main.fmf b/tests/testsuite/main.fmf
index 21ec3d9..7c6f94b 100644
--- a/tests/testsuite/main.fmf
+++ b/tests/testsuite/main.fmf
@@ -67,6 +67,18 @@ adjust+:
     environment+:
       MAY_BUILD_OTHER_ARCHES: "no"
 
+  - because: "On RHEL-8.8.0, gcc-toolset-13 binutils build has extra directory levels"
+    when: distro == rhel-8.8 and collection == gcc-toolset-13
+    test: "$WITH_SCL ./test-with-cross.sh"
+    environment+:
+      MAY_BUILD_OTHER_ARCHES: "no"
+
+  - because: "On RHEL-8.6.0, gcc-toolset-13 binutils build has extra directory levels"
+    when: distro == rhel-8.6 and collection == gcc-toolset-13
+    test: "$WITH_SCL ./test-with-cross.sh"
+    environment+:
+      MAY_BUILD_OTHER_ARCHES: "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-with-cross.sh"