diff --git a/ChangeLog-7.2.md b/ChangeLog-7.2.md
index 5fba7547d7f..8af396b0233 100644
--- a/ChangeLog-7.2.md
+++ b/ChangeLog-7.2.md
@@ -7,6 +7,7 @@ All notable changes of the PHPUnit 7.2 release series are documented in this fil
 ### Fixed
 
 * Fixed [#3218](https://github.com/sebastianbergmann/phpunit/issues/3218): `prefix` attribute for `directory` node missing from `phpunit.xml` XSD
+* Fixed [#3222](https://github.com/sebastianbergmann/phpunit/pull/3222): Priority of `@covers` and `@coversNothing` is wrong
 
 ## [7.2.7] - 2018-07-15
 
diff --git a/src/Framework/TestResult.php b/src/Framework/TestResult.php
index a85fb40193a..297645adeb1 100644
--- a/src/Framework/TestResult.php
+++ b/src/Framework/TestResult.php
@@ -189,6 +189,25 @@ class TestResult implements Countable
      */
     private $registerMockObjectsFromTestArgumentsRecursively = false;
 
+    public static function isAnyCoverageRequired(TestCase $test)
+    {
+        $annotations = $test->getAnnotations();
+
+        // If any methods have covers, coverage must me generated
+        if (isset($annotations['method']['covers'])) {
+            return true;
+        }
+
+        // If there are no explicit covers, and the test class is
+        // marked as covers nothing, all coverage can be skipped
+        if (isset($annotations['class']['coversNothing'])) {
+            return false;
+        }
+
+        // Otherwise each test method can generate coverage
+        return true;
+    }
+
     /**
      * Registers a TestListener.
      */
@@ -571,11 +590,7 @@ public function run(Test $test): void
                 $this->registerMockObjectsFromTestArgumentsRecursively
             );
 
-            $annotations = $test->getAnnotations();
-
-            if (isset($annotations['class']['coversNothing']) || isset($annotations['method']['coversNothing'])) {
-                $coversNothing = true;
-            }
+            $isAnyCoverageRequired = self::isAnyCoverageRequired($test);
         }
 
         $error      = false;
@@ -604,7 +619,7 @@ public function run(Test $test): void
 
         $collectCodeCoverage = $this->codeCoverage !== null &&
                                !$test instanceof WarningTestCase &&
-                               !$coversNothing;
+                               $isAnyCoverageRequired;
 
         if ($collectCodeCoverage) {
             $this->codeCoverage->start($test);
diff --git a/tests/Framework/TestResultTest.php b/tests/Framework/TestResultTest.php
index b88e03f36ff..ff8abbeb57c 100644
--- a/tests/Framework/TestResultTest.php
+++ b/tests/Framework/TestResultTest.php
@@ -62,4 +62,25 @@ public function testAddErrorOfTypeIncompleteTest()
         $this->assertAttributeEquals(true, 'lastTestFailed', $result);
         $this->assertAttributeContainsOnly(TestFailure::class, 'notImplemented', $result);
     }
+
+    public function canSkipCoverageProvider()
+    {
+        return [
+            ['CoverageClassTest', true],
+            ['CoverageNothingTest', true],
+            ['CoverageCoversOverridesCoversNothingTest', false],
+        ];
+    }
+
+    /**
+     * @dataProvider canSkipCoverageProvider
+     */
+    public function testCanSkipCoverage($testCase, $expectedCanSkip)
+    {
+        require_once __DIR__ . '/../_files/' . $testCase . '.php';
+
+        $test            = new $testCase();
+        $canSkipCoverage = TestResult::isAnyCoverageRequired($test);
+        $this->assertEquals($expectedCanSkip, $canSkipCoverage);
+    }
 }