diff --git a/CHANGELOG.md b/CHANGELOG.md
index acde55e..1e51962 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -2,6 +2,7 @@
 
 # Unreleased
 
+- Update pip from 20.0.2 to 20.1.1 for Python 2.7 and Python 3.5+ (#1030).
 - Update setuptools from 39.0.1 to: (#1024)
   - 44.1.1 for Python 2.7
   - 43.0.0 for Python 3.4
diff --git a/bin/compile b/bin/compile
index 9a0a2d6..40369cc 100755
--- a/bin/compile
+++ b/bin/compile
@@ -137,6 +137,10 @@ export LIBRARY_PATH=/app/.heroku/vendor/lib:/app/.heroku/python/lib:$LIBRARY_PAT
 export LD_LIBRARY_PATH=/app/.heroku/vendor/lib:/app/.heroku/python/lib:$LD_LIBRARY_PATH
 export PKG_CONFIG_PATH=/app/.heroku/vendor/lib/pkg-config:/app/.heroku/python/lib/pkg-config:$PKG_CONFIG_PATH
 
+# Global pip options (https://pip.pypa.io/en/stable/user_guide/#environment-variables).
+# Disable pip's warnings about EOL Python since we show our own.
+export PIP_NO_PYTHON_VERSION_WARNING=1
+
 # The Application Code
 # --------------------
 
diff --git a/bin/steps/python b/bin/steps/python
index 71406dd..e95b7fc 100755
--- a/bin/steps/python
+++ b/bin/steps/python
@@ -137,7 +137,7 @@ fi
 
 set -e
 
-PIP_VERSION='20.0.2'
+PIP_VERSION='20.1.1'
 # Must use setuptools <47.2.0 until we fix:
 # https://github.com/heroku/heroku-buildpack-python/issues/1006
 SETUPTOOLS_VERSION='47.1.1'
diff --git a/test/run-features b/test/run-features
index 69080e3..fb30eb8 100755
--- a/test/run-features
+++ b/test/run-features
@@ -108,6 +108,7 @@ testHooks() {
     LIBRARY_PATH
     OLDPWD
     PATH
+    PIP_NO_PYTHON_VERSION_WARNING
     PKG_CONFIG_PATH
     PROFILE_PATH
     PWD
diff --git a/test/run-versions b/test/run-versions
index a6b6186..c491748 100755
--- a/test/run-versions
+++ b/test/run-versions
@@ -9,7 +9,7 @@ testPythonDefault() {
   compile "pythonDefault"
   assertCaptured $DEFAULT_PYTHON_VERSION
   assertNotCaptured "security update"
-  assertCaptured "Installing pip 20.0.2, setuptools 47.1.1 and wheel 0.34.2"
+  assertCaptured "Installing pip 20.1.1, setuptools 47.1.1 and wheel 0.34.2"
   assertCaptured "Installing SQLite3"
   assertCapturedSuccess
 }
@@ -25,7 +25,7 @@ testPython2() {
       assertNotCaptured "python-2-7-eol-faq";
     fi
     assertNotCaptured "security update"
-    assertCaptured "Installing pip 20.0.2, setuptools 44.1.1 and wheel 0.34.2"
+    assertCaptured "Installing pip 20.1.1, setuptools 44.1.1 and wheel 0.34.2"
     assertCaptured "Installing SQLite3"
     assertCapturedSuccess
 }
@@ -89,7 +89,7 @@ testPython3_5() {
   compile "python3_5"
   assertCaptured $LATEST_35
   assertNotCaptured "security update"
-  assertCaptured "Installing pip 20.0.2, setuptools 47.1.1 and wheel 0.34.2"
+  assertCaptured "Installing pip 20.1.1, setuptools 47.1.1 and wheel 0.34.2"
   assertCaptured "Installing SQLite3"
   assertCapturedSuccess
 }
@@ -112,7 +112,7 @@ testPython3_6() {
   compile "python3_6"
   assertCaptured $LATEST_36
   assertNotCaptured "security update"
-  assertCaptured "Installing pip 20.0.2, setuptools 47.1.1 and wheel 0.34.2"
+  assertCaptured "Installing pip 20.1.1, setuptools 47.1.1 and wheel 0.34.2"
   assertCaptured "Installing SQLite3"
   assertCapturedSuccess
 }
@@ -139,7 +139,7 @@ testPython3_7() {
   else
     assertNotCaptured "security update"
     assertCaptured $LATEST_37
-    assertCaptured "Installing pip 20.0.2, setuptools 47.1.1 and wheel 0.34.2"
+    assertCaptured "Installing pip 20.1.1, setuptools 47.1.1 and wheel 0.34.2"
     assertCaptured "Installing SQLite3"
     assertCapturedSuccess
   fi
@@ -183,7 +183,7 @@ testPython3_8() {
   else
     assertNotCaptured "security update"
     assertCaptured $LATEST_38
-    assertCaptured "Installing pip 20.0.2, setuptools 47.1.1 and wheel 0.34.2"
+    assertCaptured "Installing pip 20.1.1, setuptools 47.1.1 and wheel 0.34.2"
     assertCaptured "Installing SQLite3"
     assertCapturedSuccess
   fi
@@ -202,7 +202,7 @@ testPypy3_6() {
   else
     assertCaptured "Installing pypy"
     assertCaptured "$PYPY_36"
-    assertCaptured "Installing pip 20.0.2, setuptools 47.1.1 and wheel 0.34.2"
+    assertCaptured "Installing pip 20.1.1, setuptools 47.1.1 and wheel 0.34.2"
     assertCapturedSuccess
   fi
 }
@@ -214,7 +214,7 @@ testPypy2_7() {
   else
     assertCaptured "Installing pypy"
     assertCaptured "$PYPY_27"
-    assertCaptured "Installing pip 20.0.2, setuptools 44.1.1 and wheel 0.34.2"
+    assertCaptured "Installing pip 20.1.1, setuptools 44.1.1 and wheel 0.34.2"
     assertCapturedSuccess
   fi
 }