diff --git a/jOOQ/src/main/java/org/jooq/impl/CurrentTime.java b/jOOQ/src/main/java/org/jooq/impl/CurrentTime.java
index dcd8f80f5a..9b8f3b65b9 100644
--- a/jOOQ/src/main/java/org/jooq/impl/CurrentTime.java
+++ b/jOOQ/src/main/java/org/jooq/impl/CurrentTime.java
@@ -86,6 +86,7 @@ final class CurrentTime<T> extends AbstractField<T> {
 
             case DERBY:
             case FIREBIRD:
+            case H2:
             case HSQLDB:
             case POSTGRES:
             case SQLITE:
diff --git a/jOOQ/src/main/java/org/jooq/impl/CurrentTimestamp.java b/jOOQ/src/main/java/org/jooq/impl/CurrentTimestamp.java
index 20dfd49bc6..3b96b0d6e4 100644
--- a/jOOQ/src/main/java/org/jooq/impl/CurrentTimestamp.java
+++ b/jOOQ/src/main/java/org/jooq/impl/CurrentTimestamp.java
@@ -117,6 +117,7 @@ final class CurrentTimestamp<T> extends AbstractField<T> {
 
             case DERBY:
             case FIREBIRD:
+            case H2:
             case HSQLDB:
             case POSTGRES:
             case SQLITE: