diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index ac86523..9b2acbd 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -33,6 +33,12 @@ jobs:
         exclude:
         - os: macos-latest
           arch: x86
+        - os: macos-latest
+          python-version: 3.8
+        - os: macos-latest
+          python-version: 3.9
+        - os: macos-latest
+          python-version: '3.10'
         - os: macos-latest
           python-version: pypy-3.9
         - os: macos-latest
@@ -58,7 +64,7 @@ jobs:
       run: >-
         sudo apt-get install -y
         gcc
-        python-dev
+        python3-dev
         libkrb5-dev
       env:
         DEBIAN_FRONTEND: noninteractive
diff --git a/README.md b/README.md
index c9c1091..d48f6e4 100644
--- a/README.md
+++ b/README.md
@@ -32,11 +32,11 @@ $ pip install pywinrm
 
 ```bash
 # for Debian/Ubuntu/etc:
-$ sudo apt-get install gcc python-dev libkrb5-dev
+$ sudo apt-get install gcc python3-dev libkrb5-dev
 $ pip install pywinrm[kerberos]
 
 # for RHEL/CentOS/etc:
-$ sudo yum install gcc python-devel krb5-devel krb5-workstation python-devel
+$ sudo dnf install gcc krb5-devel krb5-workstation python3-devel
 $ pip install pywinrm[kerberos]
 ```