diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml
index 7ab799b23b..d13c717af9 100644
--- a/.gitlab-ci.yml
+++ b/.gitlab-ci.yml
@@ -642,7 +642,6 @@ gcc:tarball:nosphinx:
       artifacts: true
 
 # Jobs for regular GCC builds on Debian 11 "bullseye" (amd64)
-# (The second unit test job also executes unstable unit tests.)
 
 gcc:bullseye:amd64:
   variables:
@@ -657,39 +656,23 @@ gcc:bullseye:amd64:
 system:gcc:bullseye:amd64:
   <<: *debian_bullseye_amd64_image
   <<: *system_test_gcov_job
-  needs:
-    - job: unit:gcc:bullseye:amd64
-      artifacts: true
-
-system:gcc:bullseye:unstable:amd64:
-  <<: *debian_bullseye_amd64_image
-  <<: *system_test_job
-  <<: *api_schedules_triggers_web_triggering_rules
   variables:
     CI_ENABLE_ALL_TESTS: 1
   needs:
-    - job: gcc:bullseye:amd64
+    - job: unit:gcc:bullseye:amd64
       artifacts: true
 
 unit:gcc:bullseye:amd64:
   <<: *debian_bullseye_amd64_image
   <<: *unit_test_gcov_job
-  needs:
-    - job: gcc:bullseye:amd64
-      artifacts: true
-
-unit:gcc:bullseye:unstable:amd64:
-  <<: *debian_bullseye_amd64_image
-  <<: *unit_test_job
-  <<: *api_schedules_triggers_web_triggering_rules
   variables:
     CI_ENABLE_ALL_TESTS: 1
   needs:
     - job: gcc:bullseye:amd64
       artifacts: true
 
-# Jobs for cross-compiled GCC builds on Debian 11 "bullseye" (amd64) with
-# 32-bit libraries
+# Build job for cross-compiled GCC builds on 64-bit Debian 11 "bullseye"
+# (amd64) with 32-bit BIND 9.
 
 gcc:bullseye:amd64cross32:
   variables:
@@ -699,20 +682,6 @@ gcc:bullseye:amd64cross32:
   <<: *debian_bullseye_amd64cross32_image
   <<: *build_job
 
-system:gcc:bullseye:amd64cross32:
-  <<: *debian_bullseye_amd64cross32_image
-  <<: *system_test_job
-  needs:
-    - job: gcc:bullseye:amd64cross32
-      artifacts: true
-
-unit:gcc:bullseye:amd64cross32:
-  <<: *debian_bullseye_amd64cross32_image
-  <<: *unit_test_job
-  needs:
-    - job: gcc:bullseye:amd64cross32
-      artifacts: true
-
 # Jobs for scan-build builds on Debian 11 "bullseye" (amd64)
 
 .scan_build: &scan_build