diff --git a/.cirrus.yml b/.cirrus.yml
index 57c953b..aa353dc 100644
--- a/.cirrus.yml
+++ b/.cirrus.yml
@@ -12,6 +12,7 @@ env:
   CI_PULL_REQUEST: ${CIRRUS_PR}
   CI_BUILD_NUMBER: ${CIRRUS_BUILD_ID}
   CI_BUILD_URL: https://cirrus-ci.com/build/${CIRRUS_BUILD_ID}
+  CI_JOB_ID: ${CIRRUS_TASK_ID}
   COVERALLS_PARALLEL: "true"
   COVERALLS_FLAG_NAME: ${CIRRUS_TASK_NAME}
   # Project-specific
@@ -52,8 +53,7 @@ env:
     -n 5 --randomly-seed=42 -rfEx --durations 10 --color yes
   submit_coverage_script:
     - pipx run coverage xml -o coverage.xml
-    - pipx run 'coveralls<4' --submit coverage.xml
-      # ^-- https://github.com/TheKevJames/coveralls-python/issues/434
+    - pipx run coveralls --submit coverage.xml
 
 # Deep clone script for POSIX environments (required for setuptools-scm)
 .clone_script: &clone |
@@ -111,6 +111,15 @@ linux_task:
       allow_failures: true  # Experimental
   install_script:
     - python -m pip install --upgrade pip tox pipx
+  debug_coveralls_script:
+    - echo $CI_NAME
+    - echo $CI_BRANCH
+    - echo $CI_PULL_REQUEST
+    - echo $CI_BUILD_NUMBER
+    - echo $CI_BUILD_URL
+    - echo $CI_JOB_ID
+    - echo $COVERALLS_PARALLEL
+    - echo $COVERALLS_FLAG_NAME
   <<: *test-template
 
 mamba_task:
@@ -160,8 +169,7 @@ finalize_task:
   container: {image: "python:3.10-bullseye"}
   depends_on: [test]
   <<: *task-template
-  install_script: pip install 'coveralls<4'
-    # ^-- https://github.com/TheKevJames/coveralls-python/issues/434
+  install_script: pip install coveralls
   finalize_coverage_script: coveralls --finish
 
 linkcheck_task: