diff --git a/dev/tasks/tasks.yml b/dev/tasks/tasks.yml
index a835b22dbf7da..5c441a5035bb1 100644
--- a/dev/tasks/tasks.yml
+++ b/dev/tasks/tasks.yml
@@ -922,6 +922,9 @@ tasks:
                     "js",
                     "python",
                     "ruby"] %}
+    # Skip verification for python and integration on Ubuntu 20.04
+    # GH-44253. Remove once we drop support for 20.04
+    {% if not (target in ["python", "integration"] and version == "20.04") %}
   verify-rc-source-{{ target }}-linux-{{ distribution }}-{{ version }}-amd64:
     ci: github
     template: verify-rc/github.linux.amd64.docker.yml
@@ -930,15 +933,20 @@ tasks:
         {{ distribution.upper() }}: "{{ version }}"
       target: {{ target }}
       distro: {{ distribution }}
+    {% endif %}
   {% endfor %}
 
   {% for target in ["jars", "wheels"] %}
+    # Skip verification for wheels on Ubuntu 20.04
+    # GH-44253. Remove once we drop support for 20.04
+    {% if not (target == "wheels" and version == "20.04") %}
   verify-rc-binaries-{{ target }}-linux-{{ distribution }}-{{ version }}-amd64:
     ci: github
     template: verify-rc/github.linux.amd64.docker.yml
     params:
       target: {{ target }}
       distro: {{ distribution }}
+    {% endif %}
   {% endfor %}
 
 {% endfor %}