diff --git a/Dockerfile b/Dockerfile
index 480f913877093d..7195d378263c07 100644
--- a/Dockerfile
+++ b/Dockerfile
@@ -405,6 +405,6 @@ ENV PATH="${HOME}:${PATH}"
 
 EXPOSE 8080
 
-ENTRYPOINT ["/usr/local/bin/dumb-init", "--", "/entrypoint.sh"]
+ENTRYPOINT ["/entrypoint.sh"]
 
 CMD ["--help"]
diff --git a/scripts/ci/_utils.sh b/scripts/ci/_utils.sh
index 592297b11dfe71..3441aef046cf26 100644
--- a/scripts/ci/_utils.sh
+++ b/scripts/ci/_utils.sh
@@ -640,27 +640,30 @@ function run_flake8() {
 
     if [[ "${#FILES[@]}" == "0" ]]; then
         docker run "${AIRFLOW_CONTAINER_EXTRA_DOCKER_FLAGS[@]}" \
-            --entrypoint "/usr/local/bin/dumb-init"  \
+            --init \
             --env PYTHONDONTWRITEBYTECODE \
             --env AIRFLOW_CI_VERBOSE="${VERBOSE}" \
             --env AIRFLOW_CI_SILENT \
             --env HOST_USER_ID="$(id -ur)" \
             --env HOST_GROUP_ID="$(id -gr)" \
+            --entrypoint \
+            "/opt/airflow/scripts/ci/in_container/run_flake8.sh" \
             --rm \
             "${AIRFLOW_CI_IMAGE}" \
-            "--" "/opt/airflow/scripts/ci/in_container/run_flake8.sh" \
             | tee -a "${OUTPUT_LOG}"
     else
         docker run "${AIRFLOW_CONTAINER_EXTRA_DOCKER_FLAGS[@]}" \
-            --entrypoint "/usr/local/bin/dumb-init"  \
+            --init \
             --env PYTHONDONTWRITEBYTECODE \
             --env AIRFLOW_CI_VERBOSE="${VERBOSE}" \
             --env AIRFLOW_CI_SILENT \
             --env HOST_USER_ID="$(id -ur)" \
             --env HOST_GROUP_ID="$(id -gr)" \
             --rm \
+            --entrypoint \
+            "/opt/airflow/scripts/ci/in_container/run_flake8.sh" \
             "${AIRFLOW_CI_IMAGE}" \
-            "--" "/opt/airflow/scripts/ci/in_container/run_flake8.sh" "${FILES[@]}" \
+            "${FILES[@]}" \
             | tee -a "${OUTPUT_LOG}"
     fi
 }
@@ -679,29 +682,31 @@ function run_bats_tests() {
 
 function run_docs() {
     docker run "${AIRFLOW_CONTAINER_EXTRA_DOCKER_FLAGS[@]}" -t \
-            --entrypoint "/usr/local/bin/dumb-init"  \
+            --init \
             --env PYTHONDONTWRITEBYTECODE \
             --env AIRFLOW_CI_VERBOSE="${VERBOSE}" \
             --env AIRFLOW_CI_SILENT \
             --env HOST_USER_ID="$(id -ur)" \
             --env HOST_GROUP_ID="$(id -gr)" \
+            --entrypoint \
+            "/opt/airflow/docs/build.sh" \
             --rm \
             "${AIRFLOW_CI_IMAGE}" \
-            "--" "/opt/airflow/docs/build.sh" \
             | tee -a "${OUTPUT_LOG}"
 }
 
 function run_check_license() {
     docker run "${AIRFLOW_CONTAINER_EXTRA_DOCKER_FLAGS[@]}" -t \
-            --entrypoint "/usr/local/bin/dumb-init"  \
+            --init \
             --env PYTHONDONTWRITEBYTECODE \
             --env AIRFLOW_CI_VERBOSE="${VERBOSE}" \
             --env AIRFLOW_CI_SILENT \
             --env HOST_USER_ID="$(id -ur)" \
             --env HOST_GROUP_ID="$(id -gr)" \
+            --entrypoint \
+            "/opt/airflow/scripts/ci/in_container/run_check_licence.sh" \
             --rm \
             "${AIRFLOW_CI_IMAGE}" \
-            "--" "/opt/airflow/scripts/ci/in_container/run_check_licence.sh" \
             | tee -a "${OUTPUT_LOG}"
 }
 
@@ -709,27 +714,31 @@ function run_mypy() {
     FILES=("$@")
     if [[ "${#FILES[@]}" == "0" ]]; then
         docker run "${AIRFLOW_CONTAINER_EXTRA_DOCKER_FLAGS[@]}" \
-            --entrypoint "/usr/local/bin/dumb-init"  \
+            --init \
             --env PYTHONDONTWRITEBYTECODE \
             --env AIRFLOW_CI_VERBOSE="${VERBOSE}" \
             --env AIRFLOW_CI_SILENT \
             --env HOST_USER_ID="$(id -ur)" \
             --env HOST_GROUP_ID="$(id -gr)" \
             --rm \
+            --entrypoint \
+            "/opt/airflow/scripts/ci/in_container/run_mypy.sh" \
             "${AIRFLOW_CI_IMAGE}" \
-            "--" "/opt/airflow/scripts/ci/in_container/run_mypy.sh" "airflow" "tests" "docs" \
+            "airflow" "tests" "docs" \
             | tee -a "${OUTPUT_LOG}"
     else
         docker run "${AIRFLOW_CONTAINER_EXTRA_DOCKER_FLAGS[@]}" \
-            --entrypoint "/usr/local/bin/dumb-init" \
+            --init \
             --env PYTHONDONTWRITEBYTECODE \
             --env AIRFLOW_CI_VERBOSE="${VERBOSE}" \
             --env AIRFLOW_CI_SILENT \
             --env HOST_USER_ID="$(id -ur)" \
             --env HOST_GROUP_ID="$(id -gr)" \
+            --entrypoint \
+            "/opt/airflow/scripts/ci/in_container/run_mypy.sh" \
             --rm \
             "${AIRFLOW_CI_IMAGE}" \
-            "--" "/opt/airflow/scripts/ci/in_container/run_mypy.sh" "${FILES[@]}" \
+            "${FILES[@]}" \
             | tee -a "${OUTPUT_LOG}"
     fi
 }
@@ -738,27 +747,30 @@ function run_pylint_main() {
     FILES=("$@")
     if [[ "${#FILES[@]}" == "0" ]]; then
         docker run "${AIRFLOW_CONTAINER_EXTRA_DOCKER_FLAGS[@]}" \
-            --entrypoint "/usr/local/bin/dumb-init"  \
+            --init \
             --env PYTHONDONTWRITEBYTECODE \
             --env AIRFLOW_CI_VERBOSE="${VERBOSE}" \
             --env AIRFLOW_CI_SILENT \
             --env HOST_USER_ID="$(id -ur)" \
             --env HOST_GROUP_ID="$(id -gr)" \
             --rm \
+            --entrypoint \
+            "/opt/airflow/scripts/ci/in_container/run_pylint_main.sh" \
             "${AIRFLOW_CI_IMAGE}" \
-            "--" "/opt/airflow/scripts/ci/in_container/run_pylint_main.sh" \
             | tee -a "${OUTPUT_LOG}"
     else
         docker run "${AIRFLOW_CONTAINER_EXTRA_DOCKER_FLAGS[@]}" \
-            --entrypoint "/usr/local/bin/dumb-init" \
+            --init \
             --env PYTHONDONTWRITEBYTECODE \
             --env AIRFLOW_CI_VERBOSE="${VERBOSE}" \
             --env AIRFLOW_CI_SILENT \
             --env HOST_USER_ID="$(id -ur)" \
             --env HOST_GROUP_ID="$(id -gr)" \
             --rm \
+            --entrypoint \
+            "/opt/airflow/scripts/ci/in_container/run_pylint_main.sh" \
             "${AIRFLOW_CI_IMAGE}" \
-            "--" "/opt/airflow/scripts/ci/in_container/run_pylint_main.sh" "${FILES[@]}" \
+            "${FILES[@]}" \
             | tee -a "${OUTPUT_LOG}"
     fi
 }
@@ -768,27 +780,30 @@ function run_pylint_tests() {
     FILES=("$@")
     if [[ "${#FILES[@]}" == "0" ]]; then
         docker run "${AIRFLOW_CONTAINER_EXTRA_DOCKER_FLAGS[@]}" \
-            --entrypoint "/usr/local/bin/dumb-init"  \
+            --init \
             --env PYTHONDONTWRITEBYTECODE \
             --env AIRFLOW_CI_VERBOSE="${VERBOSE}" \
             --env AIRFLOW_CI_SILENT \
             --env HOST_USER_ID="$(id -ur)" \
             --env HOST_GROUP_ID="$(id -gr)" \
             --rm \
+            --entrypoint \
+            "/opt/airflow/scripts/ci/in_container/run_pylint_tests.sh" \
             "${AIRFLOW_CI_IMAGE}" \
-            "--" "/opt/airflow/scripts/ci/in_container/run_pylint_tests.sh" \
             | tee -a "${OUTPUT_LOG}"
     else
         docker run "${AIRFLOW_CONTAINER_EXTRA_DOCKER_FLAGS[@]}" \
-            --entrypoint "/usr/local/bin/dumb-init"  \
+            --init \
             --env PYTHONDONTWRITEBYTECODE \
             --env AIRFLOW_CI_VERBOSE="${VERBOSE}" \
             --env AIRFLOW_CI_SILENT \
             --env HOST_USER_ID="$(id -ur)" \
             --env HOST_GROUP_ID="$(id -gr)" \
             --rm \
+            --entrypoint \
+            "/opt/airflow/scripts/ci/in_container/run_pylint_tests.sh" \
             "${AIRFLOW_CI_IMAGE}" \
-            "--" "/opt/airflow/scripts/ci/in_container/run_pylint_tests.sh" "${FILES[@]}" \
+            "${FILES[@]}" \
             | tee -a "${OUTPUT_LOG}"
     fi
 }
diff --git a/scripts/ci/docker-compose/backend-mysql.yml b/scripts/ci/docker-compose/backend-mysql.yml
index d9773aac1a97ba..d2bfd8dad9e498 100644
--- a/scripts/ci/docker-compose/backend-mysql.yml
+++ b/scripts/ci/docker-compose/backend-mysql.yml
@@ -25,6 +25,7 @@ services:
     depends_on:
       - mysql
   mysql:
+    init: true
     image: mysql:5.6
     environment:
       - MYSQL_ALLOW_EMPTY_PASSWORD=true
diff --git a/scripts/ci/docker-compose/backend-postgres.yml b/scripts/ci/docker-compose/backend-postgres.yml
index 10a6fd5227bbb9..9cfdc7b54b44f3 100644
--- a/scripts/ci/docker-compose/backend-postgres.yml
+++ b/scripts/ci/docker-compose/backend-postgres.yml
@@ -25,6 +25,7 @@ services:
     depends_on:
       - postgres
   postgres:
+    init: true
     image: postgres:9.6
     environment:
       - POSTGRES_USER=postgres
diff --git a/scripts/ci/docker-compose/integration-cassandra.yml b/scripts/ci/docker-compose/integration-cassandra.yml
index 12a5537156b308..304c36c9d51f87 100644
--- a/scripts/ci/docker-compose/integration-cassandra.yml
+++ b/scripts/ci/docker-compose/integration-cassandra.yml
@@ -18,6 +18,7 @@
 version: "2.2"
 services:
   cassandra:
+    init: true
     image: cassandra:3.0
     volumes:
       - /dev/urandom:/dev/random   # Required to get non-blocking entropy source
diff --git a/scripts/ci/docker-compose/integration-kerberos.yml b/scripts/ci/docker-compose/integration-kerberos.yml
index 6714a104f5819f..79d841f21a2fac 100644
--- a/scripts/ci/docker-compose/integration-kerberos.yml
+++ b/scripts/ci/docker-compose/integration-kerberos.yml
@@ -18,6 +18,7 @@
 version: "2.2"
 services:
   kerberos:
+    init: true
     image: godatadriven/krb5-kdc-server
     hostname: kerberos
     domainname: example.com
diff --git a/scripts/ci/docker-compose/integration-mongo.yml b/scripts/ci/docker-compose/integration-mongo.yml
index 5d48c5022761ee..06dfea113b18ab 100644
--- a/scripts/ci/docker-compose/integration-mongo.yml
+++ b/scripts/ci/docker-compose/integration-mongo.yml
@@ -18,6 +18,7 @@
 version: "2.2"
 services:
   mongo:
+    init: true
     image: mongo:3
     volumes:
       - /dev/urandom:/dev/random   # Required to get non-blocking entropy source
diff --git a/scripts/ci/docker-compose/integration-openldap.yml b/scripts/ci/docker-compose/integration-openldap.yml
index cf8cfd3019c4bf..44e2c2f2de50ed 100644
--- a/scripts/ci/docker-compose/integration-openldap.yml
+++ b/scripts/ci/docker-compose/integration-openldap.yml
@@ -18,6 +18,7 @@
 version: "2.2"
 services:
   openldap:
+    init: true
     image: osixia/openldap:1.2.0
     command: --copy-service
     environment:
diff --git a/scripts/ci/docker-compose/integration-rabbitmq.yml b/scripts/ci/docker-compose/integration-rabbitmq.yml
index d14db8aaef9848..1864122f8d34b9 100644
--- a/scripts/ci/docker-compose/integration-rabbitmq.yml
+++ b/scripts/ci/docker-compose/integration-rabbitmq.yml
@@ -18,6 +18,7 @@
 version: "2.2"
 services:
   rabbitmq:
+    init: true
     image: rabbitmq:3.7
     volumes:
       - /dev/urandom:/dev/random   # Required to get non-blocking entropy source
diff --git a/scripts/ci/docker-compose/integration-redis.yml b/scripts/ci/docker-compose/integration-redis.yml
index 6893af70748603..819a35416f99cb 100644
--- a/scripts/ci/docker-compose/integration-redis.yml
+++ b/scripts/ci/docker-compose/integration-redis.yml
@@ -18,6 +18,7 @@
 version: "2.2"
 services:
   redis:
+    init: true
     image: redis:5.0.1
     volumes:
       - /dev/urandom:/dev/random   # Required to get non-blocking entropy source
diff --git a/setup.py b/setup.py
index b9616327376a12..0bd35a73d6f844 100644
--- a/setup.py
+++ b/setup.py
@@ -376,7 +376,6 @@ def write_version(filename: str = os.path.join(*["airflow", "git_version"])):
     'click==6.7',
     'contextdecorator;python_version<"3.4"',
     'coverage',
-    'dumb-init>=1.2.2',
     'flake8>=3.6.0',
     'flake8-colors',
     'flaky',