diff --git a/sql/catalyst/src/main/antlr4/org/apache/spark/sql/catalyst/parser/SqlBase.g4 b/sql/catalyst/src/main/antlr4/org/apache/spark/sql/catalyst/parser/SqlBase.g4
index 6daf01d98426c..39d5e4ed56628 100644
--- a/sql/catalyst/src/main/antlr4/org/apache/spark/sql/catalyst/parser/SqlBase.g4
+++ b/sql/catalyst/src/main/antlr4/org/apache/spark/sql/catalyst/parser/SqlBase.g4
@@ -141,7 +141,7 @@ statement
         (LIKE? pattern=STRING)?                                        #showTables
     | SHOW TABLE EXTENDED ((FROM | IN) db=identifier)?
         LIKE pattern=STRING partitionSpec?                             #showTable
-    | SHOW DATABASES (LIKE pattern=STRING)?                            #showDatabases
+    | SHOW DATABASES (LIKE? pattern=STRING)?                            #showDatabases
     | SHOW TBLPROPERTIES table=tableIdentifier
         ('(' key=tablePropertyKey ')')?                                #showTblProperties
     | SHOW COLUMNS (FROM | IN) tableIdentifier
diff --git a/sql/core/src/test/scala/org/apache/spark/sql/execution/command/DDLSuite.scala b/sql/core/src/test/scala/org/apache/spark/sql/execution/command/DDLSuite.scala
index 591510c1d8283..2b4b7c137428a 100644
--- a/sql/core/src/test/scala/org/apache/spark/sql/execution/command/DDLSuite.scala
+++ b/sql/core/src/test/scala/org/apache/spark/sql/execution/command/DDLSuite.scala
@@ -991,6 +991,10 @@ abstract class DDLSuite extends QueryTest with SQLTestUtils {
       sql("SHOW DATABASES LIKE '*db1A'"),
       Row("showdb1a") :: Nil)
 
+    checkAnswer(
+      sql("SHOW DATABASES '*db1A'"),
+      Row("showdb1a") :: Nil)
+
     checkAnswer(
       sql("SHOW DATABASES LIKE 'showdb1A'"),
       Row("showdb1a") :: Nil)