diff --git a/.zuul.yaml b/.zuul.yaml
index 579d5b59..39dbe520 100644
--- a/.zuul.yaml
+++ b/.zuul.yaml
@@ -10,6 +10,9 @@
     check:
       jobs:
         - python-tempestconf-tempest-devstack-admin
+        - python-tempestconf-tempest-devstack-admin-stein
+        - python-tempestconf-tempest-devstack-admin-rocky
+        - python-tempestconf-tempest-devstack-admin-queens
         - python-tempestconf-tempest-devstack-admin-py3
         - python-tempestconf-tempest-devstack-demo
         - python-tempestconf-tempest-devstack-demo-py3
@@ -22,6 +25,9 @@
     gate:
       jobs:
         - python-tempestconf-tempest-devstack-admin
+        - python-tempestconf-tempest-devstack-admin-stein
+        - python-tempestconf-tempest-devstack-admin-rocky
+        - python-tempestconf-tempest-devstack-admin-queens
         - python-tempestconf-tempest-devstack-admin-py3
         - python-tempestconf-tempest-devstack-demo
         - python-tempestconf-tempest-devstack-demo-py3
@@ -31,6 +37,12 @@
         - tripleo-ci-centos-7-scenario002-standalone
         - tripleo-ci-centos-7-standalone-os-tempest
         - refstack-client-devstack-tempestconf
+    experimental:
+      jobs:
+        - python-tempestconf-tempest-devstack-demo-stein
+        - python-tempestconf-tempest-devstack-demo-rocky
+        - python-tempestconf-tempest-devstack-demo-queens
+
 
 - job:
     name: python-tempestconf-devstack-base
@@ -134,6 +146,27 @@
       cloud_user: devstack-admin
       tempest_concurrency: 2
 
+- job:
+    name: python-tempestconf-tempest-devstack-admin-stein
+    parent: python-tempestconf-tempest-devstack-admin
+    override-checkout: stable/stein
+    vars:
+      branch: stable/stein
+
+- job:
+    name: python-tempestconf-tempest-devstack-admin-rocky
+    parent: python-tempestconf-tempest-devstack-admin
+    override-checkout: stable/rocky
+    vars:
+      branch: stable/rocky
+
+- job:
+    name: python-tempestconf-tempest-devstack-admin-queens
+    parent: python-tempestconf-tempest-devstack-admin
+    override-checkout: stable/queens
+    vars:
+      branch: stable/queens
+
 - job:
     name: python-tempestconf-tempest-devstack-demo
     parent: python-tempestconf-devstack-base
@@ -153,6 +186,27 @@
       # is resolved
       tempest_black_regex: 'tempest.api.compute.servers'
 
+- job:
+    name: python-tempestconf-tempest-devstack-demo-stein
+    parent: python-tempestconf-tempest-devstack-demo
+    override-checkout: stable/stein
+    vars:
+      branch: stable/stein
+
+- job:
+    name: python-tempestconf-tempest-devstack-demo-rocky
+    parent: python-tempestconf-tempest-devstack-demo
+    override-checkout: stable/rocky
+    vars:
+      branch: stable/rocky
+
+- job:
+    name: python-tempestconf-tempest-devstack-demo-queens
+    parent: python-tempestconf-tempest-devstack-demo
+    override-checkout: stable/queens
+    vars:
+      branch: stable/queens
+
 - job:
     name: python-tempestconf-tempest-packstack-admin
     parent: python-tempestconf-packstack-base
diff --git a/roles/generate-tempestconf-file-cloud/README.rst b/roles/generate-tempestconf-file-cloud/README.rst
index e41f44ee..29da89ab 100644
--- a/roles/generate-tempestconf-file-cloud/README.rst
+++ b/roles/generate-tempestconf-file-cloud/README.rst
@@ -7,6 +7,13 @@ to the output after that.
 
 **Role Variables**
 
+.. zuul:rolevar:: branch
+   :type: string
+   :default: master
+
+   Branch name upper-constraints will be taken into account from when
+   python-tempestconf is installed in a venv.
+
 .. zuul:rolevar:: cloud_user
    :type: string
    :default: devstack
diff --git a/roles/generate-tempestconf-file-cloud/tasks/main.yaml b/roles/generate-tempestconf-file-cloud/tasks/main.yaml
index 5acca7bd..1aea2aa5 100644
--- a/roles/generate-tempestconf-file-cloud/tasks/main.yaml
+++ b/roles/generate-tempestconf-file-cloud/tasks/main.yaml
@@ -18,12 +18,24 @@
     args:
         chdir: "{{ tempestconf_src_relative_path }}"
 
+  - name: Install python-tempestconf (with constraints)
+    shell: |
+        set -ex
+        export PATH=$PATH:/usr/local/sbin:/usr/sbin
+        source {{ virtualenvs.tempestconf }}/bin/activate
+        pip install -c https://opendev.org/openstack/requirements/raw/branch/{{ branch }}/upper-constraints.txt .
+    args:
+       chdir: "{{ tempestconf_src_relative_path }}"
+       executable: /bin/bash
+    when: branch is defined
+
   - name: Install python-tempestconf
     pip:
         name: "."
         virtualenv: "{{ virtualenvs.tempestconf }}"
         chdir: "{{ tempestconf_src_relative_path }}"
         virtualenv_python: "{{ tempestconf_pip_virtualenv_python|default(omit) }}"
+    when: branch is not defined
 
   - name: Generate tempest configuration file
     shell: |
diff --git a/roles/generate-tempestconf-file/README.rst b/roles/generate-tempestconf-file/README.rst
index 53d9cc10..c0a13316 100644
--- a/roles/generate-tempestconf-file/README.rst
+++ b/roles/generate-tempestconf-file/README.rst
@@ -6,6 +6,13 @@ is then copied to tempest directory.
 
 **Role Variables**
 
+.. zuul:rolevar:: branch
+   :type: string
+   :default: None
+
+   Branch name upper-constraints will be taken into accounts from when
+   python-tempestconf is installed in a venv.
+
 .. zuul:rolevar:: devstack_base_dir
    :type: string
    :default: /opt/stack
diff --git a/roles/generate-tempestconf-file/tasks/main.yaml b/roles/generate-tempestconf-file/tasks/main.yaml
index 397223f6..ad8dbfcb 100644
--- a/roles/generate-tempestconf-file/tasks/main.yaml
+++ b/roles/generate-tempestconf-file/tasks/main.yaml
@@ -21,12 +21,24 @@
     args:
         chdir: "{{ tempestconf_src_relative_path }}"
 
+  - name: Install python-tempestconf (with constraints)
+    shell: |
+        set -ex
+        export PATH=$PATH:/usr/local/sbin:/usr/sbin
+        source {{ virtualenvs.tempestconf }}/bin/activate
+        pip install -c https://opendev.org/openstack/requirements/raw/branch/{{ branch }}/upper-constraints.txt .
+    args:
+       chdir: "{{ tempestconf_src_relative_path }}"
+       executable: /bin/bash
+    when: branch is defined
+
   - name: Install python-tempestconf
     pip:
         name: "."
         virtualenv: "{{ virtualenvs.tempestconf }}"
         chdir: "{{ tempestconf_src_relative_path }}"
         virtualenv_python: "{{ tempestconf_pip_virtualenv_python|default(omit) }}"
+    when: branch is not defined
 
   - name: "Cat keystonerc_ file (only in packstack case)"
     shell: |