IDEA-124772 Code completion in import statement: suggestion shows package from "java.lang", but when it's selected "java.lang" prefix isn't

java/java-impl/src/com/intellij/codeInsight/completion/scope/JavaCompletionProcessor.java

@@ -220,8 +220,14 @@ public class JavaCompletionProcessor extends BaseScopeProcessor implements Eleme
       return true;
     }
 
-    if (element instanceof PsiPackage && myScope instanceof PsiClass && !isQualifiedContext()) {
-      return true;
+    if (element instanceof PsiPackage && !isQualifiedContext()) {
+      if (myScope instanceof PsiClass) {
+        return true;
+      }
+      if (((PsiPackage)element).getQualifiedName().contains(".") &&
+          PsiTreeUtil.getParentOfType(myElement, PsiImportStatementBase.class) != null) {
+        return true;
+      }
     }
 
     if (element instanceof PsiMethod) {

java/java-tests/testData/codeInsight/completion/normal/NoJavaLangPackagesInImport.java

@@ -0,0 +1,3 @@
+import ann<caret>
+
+

java/java-tests/testSrc/com/intellij/codeInsight/completion/NormalCompletionTest.groovy

@@ -1456,4 +1456,6 @@ class Bar {
     doTest()
   }
 
+  public void testNoJavaLangPackagesInImport() { doAntiTest() }
+
 }