diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml
index 4cc6c92321..302ceb8673 100644
--- a/.gitlab-ci.yml
+++ b/.gitlab-ci.yml
@@ -63,11 +63,6 @@ stages:
     - linux
     - amd64
 
-.linux-i386: &linux_i386
-  tags:
-    - linux
-    - i386
-
 .linux-stress-amd64: &linux_stress_amd64
   tags:
     - amd64
@@ -122,14 +117,14 @@ stages:
   image: "$CI_REGISTRY_IMAGE:debian-buster-amd64"
   <<: *linux_amd64
 
+.debian-buster-amd64cross32: &debian_buster_amd64cross32_image
+  image: "$CI_REGISTRY_IMAGE:debian-buster-amd64cross32"
+  <<: *linux_amd64
+
 .debian-sid-amd64: &debian_sid_amd64_image
   image: "$CI_REGISTRY_IMAGE:debian-sid-amd64"
   <<: *linux_amd64
 
-.debian-sid-i386: &debian_sid_i386_image
-  image: "$CI_REGISTRY_IMAGE:debian-sid-i386"
-  <<: *linux_i386
-
 # openSUSE Tumbleweed
 
 .tumbleweed-latest-amd64: &tumbleweed_latest_amd64_image
@@ -254,6 +249,9 @@ stages:
     - test -z "${RUN_MAKE_INSTALL}" || make DESTDIR="${INSTALL_PATH}" install
     - test -z "${RUN_MAKE_INSTALL}" || DESTDIR="${INSTALL_PATH}" sh util/check-make-install
     - if [[ "${CFLAGS}" == *"-fsanitize=address"* ]]; then ( ! grep -F AddressSanitizer config.log ); fi
+    - test -z "${CROSS_COMPILATION}" || grep -F -A 1 "checking whether we are cross compiling" config.log | grep -q "result.*yes"
+    - test -z "${CROSS_COMPILATION}" || file lib/dns/gen | grep -F -q "ELF 64-bit LSB"
+    - test -z "${CROSS_COMPILATION}" || ( ! git ls-files -z --others --exclude lib/dns/gen | xargs -0 file | grep "ELF 64-bit LSB" )
   needs:
     - job: autoreconf
       artifacts: true
@@ -688,6 +686,33 @@ unit:gcc:buster:amd64:
     - job: gcc:buster:amd64
       artifacts: true
 
+# Jobs for cross-compiled GCC builds on Debian 10 "buster" (amd64) with
+# 32-bit libraries
+
+gcc:buster:amd64cross32:
+  variables:
+    BUILD_CC: gcc
+    BUILD_CFLAGS: "${CFLAGS_COMMON}"
+    CFLAGS: "${CFLAGS_COMMON}"
+    CROSS_COMPILATION: 1
+    EXTRA_CONFIGURE: "--build=x86_64-linux-gnu --host=i686-linux-gnu --with-libidn2"
+  <<: *debian_buster_amd64cross32_image
+  <<: *build_job
+
+system:gcc:buster:amd64cross32:
+  <<: *debian_buster_amd64cross32_image
+  <<: *system_test_job
+  needs:
+    - job: gcc:buster:amd64cross32
+      artifacts: true
+
+unit:gcc:buster:amd64cross32:
+  <<: *debian_buster_amd64cross32_image
+  <<: *unit_test_job
+  needs:
+    - job: gcc:buster:amd64cross32
+      artifacts: true
+
 # Jobs for scan-build builds on Debian 10 "buster" (amd64)
 
 .scan_build: &scan_build
@@ -801,30 +826,6 @@ unit:gcc:tarball:
     - job: gcc:tarball
       artifacts: true
 
-# Jobs for regular GCC builds on Debian "sid" (i386)
-
-gcc:sid:i386:
-  variables:
-    CC: gcc
-    CFLAGS: "${CFLAGS_COMMON}"
-    EXTRA_CONFIGURE: "--with-libidn2 --without-python"
-  <<: *debian_sid_i386_image
-  <<: *build_job
-
-system:gcc:sid:i386:
-  <<: *debian_sid_i386_image
-  <<: *system_test_job
-  needs:
-    - job: gcc:sid:i386
-      artifacts: true
-
-unit:gcc:sid:i386:
-  <<: *debian_sid_i386_image
-  <<: *unit_test_job
-  needs:
-    - job: gcc:sid:i386
-      artifacts: true
-
 # Jobs for debug GCC builds on openSUSE Tumbleweed (amd64)
 
 gcc:tumbleweed:amd64:
@@ -1165,7 +1166,6 @@ unit:clang:freebsd12:amd64:
 clang:freebsd13:amd64:
   variables:
     CFLAGS: "${CFLAGS_COMMON}"
-    EXTRA_CONFIGURE: "${WITH_READLINE_LIBEDIT}"
     USER: gitlab-runner
   <<: *freebsd_13_amd64_image
   <<: *build_job