diff --git a/.travis.yml b/.travis.yml
index e7ac61906..71e858dc4 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -21,8 +21,6 @@ matrix:
      python: 3.4
    - env: TOXENV=py34-dj20-mysql-noelasticsearch
      python: 3.4
-   - env: TOXENV=py35-dj111-postgres-noelasticsearch
-     python: 3.5
    - env: TOXENV=py35-dj111-mysql-noelasticsearch
      python: 3.5
    - env: TOXENV=py35-dj111-postgres-elasticsearch2 INSTALL_ELASTICSEARCH2=yes
@@ -46,9 +44,6 @@ matrix:
      python: 3.6
    - env: TOXENV=py36-djmaster-postgres-noelasticsearch
      python: 3.6
-   - env: TOXENV=py36-dj111-postgres-elasticsearch2 INSTALL_ELASTICSEARCH2=yes
-     python: 3.6
-     sudo: true
    - env: TOXENV=py36-dj20-sqlite-elasticsearch2 INSTALL_ELASTICSEARCH2=yes
      python: 3.6
      sudo: true
@@ -58,9 +53,6 @@ matrix:
    - env: TOXENV=py36-dj111-postgres-elasticsearch5 INSTALL_ELASTICSEARCH5=yes
      python: 3.6
      sudo: true
-   - env: TOXENV=py36-dj20-postgres-elasticsearch5 INSTALL_ELASTICSEARCH5=yes
-     python: 3.6
-     sudo: true
    - env: TOXENV=py36-dj21-postgres-elasticsearch5 INSTALL_ELASTICSEARCH5=yes
      python: 3.6
      sudo: true
@@ -76,11 +68,9 @@ matrix:
   allow_failures:
     # Ignore failures on Elasticsearch tests because ES on Travis is intermittently flaky
     - env: TOXENV=py35-dj111-postgres-elasticsearch2 INSTALL_ELASTICSEARCH2=yes
-    - env: TOXENV=py36-dj111-postgres-elasticsearch2 INSTALL_ELASTICSEARCH2=yes
     - env: TOXENV=py36-dj20-sqlite-elasticsearch2 INSTALL_ELASTICSEARCH2=yes
     - env: TOXENV=py36-dj21-sqlite-elasticsearch2 INSTALL_ELASTICSEARCH2=yes
     - env: TOXENV=py36-dj111-postgres-elasticsearch5 INSTALL_ELASTICSEARCH5=yes
-    - env: TOXENV=py36-dj20-postgres-elasticsearch5 INSTALL_ELASTICSEARCH5=yes
     - env: TOXENV=py36-dj21-postgres-elasticsearch5 INSTALL_ELASTICSEARCH5=yes
     - env: TOXENV=py36-dj111-postgres-elasticsearch6 INSTALL_ELASTICSEARCH6=yes
     - env: TOXENV=py36-dj20-postgres-elasticsearch6 INSTALL_ELASTICSEARCH6=yes