diff --git a/tests/Regression/bz488748-inet6-opt-init-sets-incorrect-header-len/main.fmf b/tests/Regression/bz488748-inet6-opt-init-sets-incorrect-header-len/main.fmf
index 8dcda7d..b0edcfa 100644
--- a/tests/Regression/bz488748-inet6-opt-init-sets-incorrect-header-len/main.fmf
+++ b/tests/Regression/bz488748-inet6-opt-init-sets-incorrect-header-len/main.fmf
@@ -11,7 +11,8 @@ component:
   - glibc
 test: ./runtest.sh
 framework: beakerlib
-recommend:
+require:
+  - gcc
   - glibc
 duration: 30m
 link:
diff --git a/tests/Regression/bz501595-RHEL4-getnameinfo-should-return-EAI-NONAME/main.fmf b/tests/Regression/bz501595-RHEL4-getnameinfo-should-return-EAI-NONAME/main.fmf
index 4599d31..c5373ef 100644
--- a/tests/Regression/bz501595-RHEL4-getnameinfo-should-return-EAI-NONAME/main.fmf
+++ b/tests/Regression/bz501595-RHEL4-getnameinfo-should-return-EAI-NONAME/main.fmf
@@ -50,7 +50,8 @@ component:
   - glibc
 test: ./runtest.sh
 framework: beakerlib
-recommend:
+require:
+  - gcc
   - glibc
 duration: 30m
 link:
diff --git a/tests/Regression/bz529997-sem_timedwait-with-invalid-time/main.fmf b/tests/Regression/bz529997-sem_timedwait-with-invalid-time/main.fmf
index dccf27b..84b876b 100644
--- a/tests/Regression/bz529997-sem_timedwait-with-invalid-time/main.fmf
+++ b/tests/Regression/bz529997-sem_timedwait-with-invalid-time/main.fmf
@@ -150,7 +150,8 @@ component:
   - glibc
 test: ./runtest.sh
 framework: beakerlib
-recommend:
+require:
+  - gcc
   - glibc
 duration: 30m
 link:
diff --git a/tests/Regression/bz531576-memusage-cmd-segfaults-on-perl-scripts/runtest.sh b/tests/Regression/bz531576-memusage-cmd-segfaults-on-perl-scripts/runtest.sh
index 21ae171..5dcfd22 100755
--- a/tests/Regression/bz531576-memusage-cmd-segfaults-on-perl-scripts/runtest.sh
+++ b/tests/Regression/bz531576-memusage-cmd-segfaults-on-perl-scripts/runtest.sh
@@ -44,7 +44,7 @@ rlPhaseStartSetup
 rlPhaseEnd
 
 rlPhaseStartTest
-    if rlIsRHEL ">=8" || rlIsFedora
+    if rlIsRHEL ">=8" || rlIsCentOS ">=8" ||  rlIsFedora
     then
         CURPYTHON="python3"
         P3="p3_3.py"
diff --git a/tests/Regression/bz549813-dl-close-race-with-C-destructor/main.fmf b/tests/Regression/bz549813-dl-close-race-with-C-destructor/main.fmf
index aaf3792..b994a20 100644
--- a/tests/Regression/bz549813-dl-close-race-with-C-destructor/main.fmf
+++ b/tests/Regression/bz549813-dl-close-race-with-C-destructor/main.fmf
@@ -93,7 +93,9 @@ component:
   - glibc
 test: ./runtest.sh
 framework: beakerlib
-recommend:
+require:
+  - make
+  - gcc
   - glibc
 duration: 30m
 link:
diff --git a/tests/Regression/bz566712-aio-write-ll-corruption/main.fmf b/tests/Regression/bz566712-aio-write-ll-corruption/main.fmf
index 08d97c3..22c0cdf 100644
--- a/tests/Regression/bz566712-aio-write-ll-corruption/main.fmf
+++ b/tests/Regression/bz566712-aio-write-ll-corruption/main.fmf
@@ -35,7 +35,8 @@ component:
   - glibc
 test: ./runtest.sh
 framework: beakerlib
-recommend:
+require:
+  - gcc
   - glibc
 duration: 30m
 link:
diff --git a/tests/Regression/bz587360-digraph-matching-differs-across-archs/main.fmf b/tests/Regression/bz587360-digraph-matching-differs-across-archs/main.fmf
index eca14e9..da6468f 100644
--- a/tests/Regression/bz587360-digraph-matching-differs-across-archs/main.fmf
+++ b/tests/Regression/bz587360-digraph-matching-differs-across-archs/main.fmf
@@ -18,9 +18,10 @@ component:
   - glibc
 test: ./runtest.sh
 framework: beakerlib
-recommend:
+require:
   - glibc
   - glibc-langpack-cs
+  - glibc-gconv-extra
 duration: 15m
 link:
   - relates: https://bugzilla.redhat.com/show_bug.cgi?id=587360
diff --git a/tests/Regression/bz587360-digraph-matching-differs-across-archs/runtest.sh b/tests/Regression/bz587360-digraph-matching-differs-across-archs/runtest.sh
index 197186f..965fc78 100755
--- a/tests/Regression/bz587360-digraph-matching-differs-across-archs/runtest.sh
+++ b/tests/Regression/bz587360-digraph-matching-differs-across-archs/runtest.sh
@@ -31,7 +31,7 @@
 
 PACKAGE="glibc"
 
-if rlIsRHEL ">=8" || rlIsFedora > 28
+if rlIsRHEL ">=8" || rlIsCentOS ">=8" || rlIsFedora > 28
 then
     AtoZ="abcčČdefghchcHChCHijklmnopqrřŘsšŠtuvwxyzžŽ"
     POSPATTERN="^---čČ--------HC-CH----------řŘ-šŠ-------žŽ$"
@@ -44,7 +44,7 @@ fi
 rlJournalStart
     rlPhaseStartSetup
         rlAssertRpm $PACKAGE
-        if rlIsRHEL 8 || rlIsFedora > 20
+        if rlIsRHEL 8 || rlIsCentOS 8 || rlIsFedora > 20
         then
            rlAssertRpm  glibc-langpack-cs
         fi
diff --git a/tests/Regression/bz600457-locally-defined-symbol-resolving-failure/main.fmf b/tests/Regression/bz600457-locally-defined-symbol-resolving-failure/main.fmf
index 6adb034..5af78b1 100644
--- a/tests/Regression/bz600457-locally-defined-symbol-resolving-failure/main.fmf
+++ b/tests/Regression/bz600457-locally-defined-symbol-resolving-failure/main.fmf
@@ -128,8 +128,10 @@ component:
   - glibc
 test: ./runtest.sh
 framework: beakerlib
-recommend:
+require:
+  - gcc
   - glibc
+  - make
 duration: 30m
 link:
   - relates: https://bugzilla.redhat.com/show_bug.cgi?id=600457
diff --git a/tests/Regression/bz737778-setlocale-fails-if-LC-CTYPE-is-set-to-Turkish/main.fmf b/tests/Regression/bz737778-setlocale-fails-if-LC-CTYPE-is-set-to-Turkish/main.fmf
index 8d3360b..c71bef7 100644
--- a/tests/Regression/bz737778-setlocale-fails-if-LC-CTYPE-is-set-to-Turkish/main.fmf
+++ b/tests/Regression/bz737778-setlocale-fails-if-LC-CTYPE-is-set-to-Turkish/main.fmf
@@ -12,6 +12,7 @@ recommend:
   - gcc
   - diffutils
   - glibc-langpack-tr
+  - glibc-gconv-extra
 duration: 6m
 link:
   - relates: https://bugzilla.redhat.com/show_bug.cgi?id=737778
diff --git a/tests/Sanity/basic-linking-sanity/main.fmf b/tests/Sanity/basic-linking-sanity/main.fmf
index 743943a..8ae8f82 100644
--- a/tests/Sanity/basic-linking-sanity/main.fmf
+++ b/tests/Sanity/basic-linking-sanity/main.fmf
@@ -6,7 +6,8 @@ component:
   - glibc
 test: ./runtest.sh
 framework: beakerlib
-recommend:
+require:
+  - gcc
   - glibc
 duration: 30m
 extra-summary: /tools/glibc/Sanity/basic-linking-sanity