diff --git a/spring-jdbc/src/main/java/org/springframework/jdbc/core/JdbcOperations.java b/spring-jdbc/src/main/java/org/springframework/jdbc/core/JdbcOperations.java
index be172510202..601c83a77cd 100644
--- a/spring-jdbc/src/main/java/org/springframework/jdbc/core/JdbcOperations.java
+++ b/spring-jdbc/src/main/java/org/springframework/jdbc/core/JdbcOperations.java
@@ -1013,7 +1013,7 @@ public interface JdbcOperations {
 	 * {@link java.sql.Statement#SUCCESS_NO_INFO}/{@link java.sql.Statement#EXECUTE_FAILED})
 	 * @throws DataAccessException if there is any problem issuing the update
 	 */
-	int[] batchUpdate(String sql, List<Object[]> batchArgs) throws DataAccessException;
+	int[] batchUpdate(String sql, List<? extends @Nullable Object[]> batchArgs) throws DataAccessException;
 
 	/**
 	 * Execute a batch using the supplied SQL statement with the batch of supplied arguments.
@@ -1026,7 +1026,7 @@ public interface JdbcOperations {
 	 * {@link java.sql.Statement#SUCCESS_NO_INFO}/{@link java.sql.Statement#EXECUTE_FAILED})
 	 * @throws DataAccessException if there is any problem issuing the update
 	 */
-	int[] batchUpdate(String sql, List<Object[]> batchArgs, int[] argTypes) throws DataAccessException;
+	int[] batchUpdate(String sql, List<? extends @Nullable Object[]> batchArgs, int[] argTypes) throws DataAccessException;
 
 	/**
 	 * Execute multiple batches using the supplied SQL statement with the collect of supplied
diff --git a/spring-jdbc/src/main/java/org/springframework/jdbc/core/JdbcTemplate.java b/spring-jdbc/src/main/java/org/springframework/jdbc/core/JdbcTemplate.java
index 33b94792ddc..0eec243d061 100644
--- a/spring-jdbc/src/main/java/org/springframework/jdbc/core/JdbcTemplate.java
+++ b/spring-jdbc/src/main/java/org/springframework/jdbc/core/JdbcTemplate.java
@@ -1046,12 +1046,12 @@ public class JdbcTemplate extends JdbcAccessor implements JdbcOperations {
 	}
 
 	@Override
-	public int[] batchUpdate(String sql, List<@Nullable Object[]> batchArgs) throws DataAccessException {
+	public int[] batchUpdate(String sql, List<? extends @Nullable Object[]> batchArgs) throws DataAccessException {
 		return batchUpdate(sql, batchArgs, new int[0]);
 	}
 
 	@Override
-	public int[] batchUpdate(String sql, List<@Nullable Object[]> batchArgs, int[] argTypes) throws DataAccessException {
+	public int[] batchUpdate(String sql, List<? extends @Nullable Object[]> batchArgs, int[] argTypes) throws DataAccessException {
 		if (batchArgs.isEmpty()) {
 			return new int[0];
 		}
diff --git a/spring-jdbc/src/test/kotlin/org/springframework/jdbc/core/JdbcOperationsExtensionsTests.kt b/spring-jdbc/src/test/kotlin/org/springframework/jdbc/core/JdbcOperationsExtensionsTests.kt
index 91c2c55092b..18cef980ef9 100644
--- a/spring-jdbc/src/test/kotlin/org/springframework/jdbc/core/JdbcOperationsExtensionsTests.kt
+++ b/spring-jdbc/src/test/kotlin/org/springframework/jdbc/core/JdbcOperationsExtensionsTests.kt
@@ -223,4 +223,42 @@ class JdbcOperationsExtensionsTests {
 		verify { template.query(sql, ofType<RowMapper<Int?>>(), 3) }
 	}
 
+	@Test  // gh-37012
+	fun `batchUpdate with non-null batchArgs`() {
+		val batchArgs: List<Array<Any>> = listOf(arrayOf(1, "a"), arrayOf(2, "b"))
+		val result = intArrayOf(1, 1)
+		every { template.batchUpdate(sql, batchArgs) } returns result
+		assertThat(template.batchUpdate(sql, batchArgs)).isEqualTo(result)
+		verify { template.batchUpdate(sql, batchArgs) }
+	}
+
+	@Test  // gh-37012
+	fun `batchUpdate with nullable batchArgs`() {
+		val batchArgs: List<Array<Any?>> = listOf(arrayOf(1, null), arrayOf(null, "b"))
+		val result = intArrayOf(1, 1)
+		every { template.batchUpdate(sql, batchArgs) } returns result
+		assertThat(template.batchUpdate(sql, batchArgs)).isEqualTo(result)
+		verify { template.batchUpdate(sql, batchArgs) }
+	}
+
+	@Test  // gh-37012
+	fun `batchUpdate with non-null batchArgs and argTypes`() {
+		val batchArgs: List<Array<Any>> = listOf(arrayOf(1, "a"), arrayOf(2, "b"))
+		val argTypes = intArrayOf(JDBCType.INTEGER.vendorTypeNumber, JDBCType.VARCHAR.vendorTypeNumber)
+		val result = intArrayOf(1, 1)
+		every { template.batchUpdate(sql, batchArgs, argTypes) } returns result
+		assertThat(template.batchUpdate(sql, batchArgs, argTypes)).isEqualTo(result)
+		verify { template.batchUpdate(sql, batchArgs, argTypes) }
+	}
+
+	@Test  // gh-37012
+	fun `batchUpdate with nullable batchArgs and argTypes`() {
+		val batchArgs: List<Array<Any?>> = listOf(arrayOf(1, null), arrayOf(null, "b"))
+		val argTypes = intArrayOf(JDBCType.INTEGER.vendorTypeNumber, JDBCType.VARCHAR.vendorTypeNumber)
+		val result = intArrayOf(1, 1)
+		every { template.batchUpdate(sql, batchArgs, argTypes) } returns result
+		assertThat(template.batchUpdate(sql, batchArgs, argTypes)).isEqualTo(result)
+		verify { template.batchUpdate(sql, batchArgs, argTypes) }
+	}
+
 }