diff --git a/src/pytest_cov/engine.py b/src/pytest_cov/engine.py
index bb82a377..89ead76c 100644
--- a/src/pytest_cov/engine.py
+++ b/src/pytest_cov/engine.py
@@ -40,7 +40,7 @@ def set_env(self):
             os.environ['COV_CORE_CONFIG'] = config_file
         else:
             os.environ['COV_CORE_CONFIG'] = ''
-        os.environ['COV_CORE_DATAFILE'] = os.path.abspath('.coverage')
+        os.environ['COV_CORE_DATAFILE'] = os.path.abspath(self.cov.config.data_file)
         if self.cov_branch:
             os.environ['COV_CORE_BRANCH'] = 'enabled'
 
diff --git a/tests/test_pytest_cov.py b/tests/test_pytest_cov.py
index 1a25f7bd..2cdbbde0 100644
--- a/tests/test_pytest_cov.py
+++ b/tests/test_pytest_cov.py
@@ -698,14 +698,14 @@ def test_invalid_coverage_source(testdir):
         '*10 passed*'
     ])
     result.stderr.fnmatch_lines([
-        'Coverage.py warning: No data was collected.'
+        'Coverage.py warning: No data was collected.*'
     ])
 
     if StrictVersion(coverage.__version__) <= StrictVersion("3.8"):
         # older `coverage report` doesn't error on missing imports
         assert result.ret == 0
     else:
-        # newer `coverage report` errors on missing importts
+        # newer `coverage report` errors on missing imports
         result.stderr.fnmatch_lines([
             'ERROR: Failed to generate report: No data to report.',
         ])