diff --git a/tox.ini b/tox.ini
index 240d6178e3f..89a593e79c4 100644
--- a/tox.ini
+++ b/tox.ini
@@ -8,8 +8,7 @@ setenv = VIRTUAL_ENV={envdir}
 passenv = TRACE_FAILONLY
 usedevelop = True
 install_command =
-                  constraints: {[testenv:common-constraints]install_command}
-                  pip install -U {opts} {packages}
+    pip install -U -c{env:UPPER_CONSTRAINTS_FILE:https://git.openstack.org/cgit/openstack/requirements/plain/upper-constraints.txt?h=stable/liberty} {opts} {packages}
 deps = -r{toxinidir}/requirements.txt
        -r{toxinidir}/test-requirements.txt
 whitelist_externals = sh
@@ -29,7 +28,6 @@ setenv = {[testenv]setenv}
 
 [testenv:api-constraints]
 basepython = {[testenv:api]basepython}
-install_command = {[testenv:common-constraints]install_command}
 passenv = {[testenv:api]passenv}
 setenv = {[testenv:api]setenv}
 
@@ -38,8 +36,13 @@ setenv = {[testenv:api]setenv}
 setenv = OS_TEST_TIMEOUT=180
 commands = false
 
-[testenv:common-constraints]
-install_command = pip install -c{env:UPPER_CONSTRAINTS_FILE:https://git.openstack.org/cgit/openstack/requirements/plain/upper-constraints.txt?h=stable/liberty} {opts} {packages}
+# TODO(ihrachys): remove this target once it is not used in gate
+[testenv:py27-constraints]
+basepython = python2.7
+
+# TODO(ihrachys): remove this target once it is not used in gate
+[testenv:py34-constraints]
+basepython = python3.4
 
 [testenv:dsvm]
 # Fake job to define environment variables shared between dsvm jobs
@@ -60,7 +63,6 @@ deps =
 
 [testenv:functional-constraints]
 basepython = {[testenv:functional]basepython}
-install_command = {[testenv:common-constraints]install_command}
 setenv = {[testenv:functional]setenv}
 deps =
   {[testenv:functional]deps}
@@ -75,7 +77,6 @@ deps =
 
 [testenv:dsvm-functional-constraints]
 basepython = {[testenv:dsvm-functional]basepython}
-install_command = {[testenv:common-constraints]install_command}
 setenv = {[testenv:dsvm-functional]setenv}
 sitepackages={[testenv:dsvm-functional]sitepackages}
 deps =
@@ -91,7 +92,6 @@ deps =
   {[testenv:functional]deps}
 
 [testenv:dsvm-fullstack-constraints]
-install_command = {[testenv:common-constraints]install_command}
 setenv =
   {[testenv:dsvm-fullstack]setenv}
 sitepackages={[testenv:dsvm-fullstack]sitepackages}
@@ -103,6 +103,8 @@ sitepackages = True
 downloadcache = ~/cache/pip
 
 [testenv:releasenotes]
+# TODO(ihrachys): remove once infra supports constraints for this target
+install_command = pip install -U {opts} {packages}
 commands = sphinx-build -a -E -W -d releasenotes/build/doctrees -b html releasenotes/source releasenotes/build/html
 
 [testenv:pep8]
@@ -123,7 +125,6 @@ whitelist_externals =
 
 [testenv:pep8-constraints]
 basepython = {[testenv:pep8]basepython}
-install_command = {[testenv:common-constraints]install_command}
 deps =
   {[testenv]deps}
 commands=
@@ -137,28 +138,27 @@ commands=
 whitelist_externals = {[testenv:pep8]whitelist_externals}
 
 [testenv:cover]
+# TODO(ihrachys): remove once infra supports constraints for this target
+install_command = pip install -U {opts} {packages}
 basepython = python2.7
 commands =
   python setup.py testr --coverage --testr-args='{posargs}'
 
-[testenv:cover-constraints]
-basepython = {[testenv:cover]basepython}
-install_command = {[testenv:common-constraints]install_command}
-commands =
-  python setup.py testr --coverage --testr-args='{posargs}'
-
 [testenv:venv]
+# TODO(ihrachys): remove once infra supports constraints for this target
+install_command = pip install -U {opts} {packages}
 commands = {posargs}
 
+# TODO(ihrachys): remove this target once it is not used in gate
 [testenv:venv-constraints]
-install_command = {[testenv:common-constraints]install_command}
+# TODO(ihrachys): remove once infra supports constraints for this target
+install_command = pip install -U {opts} {packages}
 commands = {posargs}
 
 [testenv:docs]
 commands = sphinx-build -W -b html doc/source doc/build/html
 
 [testenv:docs-constraints]
-install_command = {[testenv:common-constraints]install_command}
 commands = {[testenv:docs]commands}
 
 [flake8]