diff --git a/hibernate-core/src/main/java/org/hibernate/query/sqm/sql/BaseSqmToSqlAstConverter.java b/hibernate-core/src/main/java/org/hibernate/query/sqm/sql/BaseSqmToSqlAstConverter.java
index 15fe3b56cb79..051c4d402579 100644
--- a/hibernate-core/src/main/java/org/hibernate/query/sqm/sql/BaseSqmToSqlAstConverter.java
+++ b/hibernate-core/src/main/java/org/hibernate/query/sqm/sql/BaseSqmToSqlAstConverter.java
@@ -1270,11 +1270,6 @@ public InsertStatement visitInsertValuesStatement(SqmInsertValuesStatement<?> sq
 					this
 			);
 
-			if ( !rootTableGroup.getTableReferenceJoins().isEmpty()
-					|| !rootTableGroup.getTableGroupJoins().isEmpty() ) {
-				throw new HibernateException( "Not expecting multiple table references for an SQM INSERT-SELECT" );
-			}
-
 			getFromClauseAccess().registerTableGroup( rootPath, rootTableGroup );
 
 			final InsertSelectStatement insertStatement = new InsertSelectStatement(
@@ -1290,9 +1285,8 @@ public InsertStatement visitInsertValuesStatement(SqmInsertValuesStatement<?> sq
 					rootTableGroup
 			);
 
-			if ( !rootTableGroup.getTableReferenceJoins().isEmpty()
-					|| !rootTableGroup.getTableGroupJoins().isEmpty() ) {
-				throw new SemanticException( "Not expecting multiple table references for an SQM INSERT-SELECT" );
+			if ( hasJoins( rootTableGroup ) ) {
+				throw new HibernateException( "Not expecting multiple table references for an SQM INSERT-SELECT" );
 			}
 
 			for ( SqmValues sqmValues : sqmStatement.getValuesList() ) {
diff --git a/hibernate-core/src/test/java/org/hibernate/orm/test/query/criteria/CriteriaMutationQueryFkValuesTest.java b/hibernate-core/src/test/java/org/hibernate/orm/test/query/criteria/CriteriaMutationQueryFkValuesTest.java
new file mode 100644
index 000000000000..aa5b6a2c22ed
--- /dev/null
+++ b/hibernate-core/src/test/java/org/hibernate/orm/test/query/criteria/CriteriaMutationQueryFkValuesTest.java
@@ -0,0 +1,172 @@
+/*
+ * SPDX-License-Identifier: LGPL-2.1-or-later
+ * Copyright Red Hat Inc. and Hibernate Authors
+ */
+package org.hibernate.orm.test.query.criteria;
+
+import org.hibernate.testing.orm.junit.DomainModel;
+import org.hibernate.testing.orm.junit.Jira;
+import org.hibernate.testing.orm.junit.SessionFactory;
+import org.hibernate.testing.orm.junit.SessionFactoryScope;
+import org.junit.jupiter.api.AfterAll;
+import org.junit.jupiter.api.BeforeAll;
+import org.junit.jupiter.api.Test;
+
+import jakarta.persistence.CascadeType;
+import jakarta.persistence.Entity;
+import jakarta.persistence.Id;
+import jakarta.persistence.JoinColumn;
+import jakarta.persistence.ManyToOne;
+import org.assertj.core.extractor.Extractors;
+
+import static org.assertj.core.api.Assertions.assertThat;
+
+/**
+ * @author Marco Belladelli
+ */
+@DomainModel( annotatedClasses = {
+		CriteriaMutationQueryFkValuesTest.DemoEntity.class,
+		CriteriaMutationQueryFkValuesTest.A.class,
+		CriteriaMutationQueryFkValuesTest.B.class,
+		CriteriaMutationQueryFkValuesTest.C.class,
+} )
+@SessionFactory( useCollectingStatementInspector = true )
+@Jira( "https://hibernate.atlassian.net/browse/HHH-18647" )
+public class CriteriaMutationQueryFkValuesTest {
+	@Test
+	public void testInsertValuesFkColumns(SessionFactoryScope scope) {
+		final var inspector = scope.getCollectingStatementInspector();
+		inspector.clear();
+
+		scope.inTransaction( session -> {
+			final var cb = session.getCriteriaBuilder();
+			final var criteriaInsert = cb.createCriteriaInsertValues( DemoEntity.class );
+			criteriaInsert.setInsertionTargetPaths(
+					criteriaInsert.getTarget().get( "id" ),
+					// insert values into foreign key columns
+					criteriaInsert.getTarget().get( "a" ).get( "id" ), // a_id
+					criteriaInsert.getTarget().get( "b" ).get( "id" ), // b_id
+					criteriaInsert.getTarget().get( "c" ).get( "id" )  // c_id
+			);
+			criteriaInsert.values( cb.values(
+					cb.value( 2L ),
+					cb.value( 1 ),
+					cb.value( 2 ),
+					cb.value( 3 )
+			) );
+			final var count = session.createMutationQuery( criteriaInsert ).executeUpdate();
+			assertThat( count ).isEqualTo( 1 );
+			inspector.assertNumberOfOccurrenceInQueryNoSpace( 0, "join", 0 );
+
+			assertThat( session.find( DemoEntity.class, 2L ) ).extracting( "a", "b", "c" ).doesNotContainNull();
+		} );
+	}
+
+	@Test
+	public void testUpdateFkColumns(SessionFactoryScope scope) {
+		final var inspector = scope.getCollectingStatementInspector();
+		inspector.clear();
+
+		scope.inTransaction( session -> {
+			final var cb = session.getCriteriaBuilder();
+			final var criteriaUpdate = cb.createCriteriaUpdate( DemoEntity.class );
+			criteriaUpdate.set( criteriaUpdate.getTarget().get( "a" ).<Integer>get( "id" ), cb.value( 4 ) );
+			criteriaUpdate.set(
+					criteriaUpdate.getTarget().get( "b" ).<Integer>get( "id" ),
+					cb.nullLiteral( Integer.class )
+			);
+			criteriaUpdate.where( cb.equal( criteriaUpdate.getTarget().get( "id" ), 1L ) );
+			final var count = session.createMutationQuery( criteriaUpdate ).executeUpdate();
+			assertThat( count ).isEqualTo( 1 );
+			inspector.assertNumberOfOccurrenceInQueryNoSpace( 0, "join", 0 );
+
+			assertThat( session.find( DemoEntity.class, 1L ) )
+					.extracting( "a", "b", "c" )
+					.extracting( o -> o == null ? null : Extractors.byName( "id" ).apply( o ) )
+					.contains( 4, null, 3 );
+		} );
+	}
+
+	@BeforeAll
+	public void setUp(SessionFactoryScope scope) {
+		scope.inTransaction( session -> {
+			final var a = new A( 1 );
+			final var b = new B( 2 );
+			final var c = new C( 3 );
+			session.persist( new DemoEntity( 1L, a, b, c ) );
+			session.persist( new A( 4 ) );
+		} );
+	}
+
+	@AfterAll
+	public void tearDown(SessionFactoryScope scope) {
+		scope.getSessionFactory().getSchemaManager().truncateMappedObjects();
+	}
+
+	@Entity( name = "DemoEntity" )
+	static class DemoEntity {
+		@Id
+		private Long id;
+
+		@ManyToOne( cascade = CascadeType.PERSIST )
+		@JoinColumn( name = "a_id" )
+		private A a;
+
+		@ManyToOne( cascade = CascadeType.PERSIST )
+		@JoinColumn( name = "b_id" )
+		private B b;
+
+		@ManyToOne( cascade = CascadeType.PERSIST )
+		@JoinColumn( name = "c_id" )
+		private C c;
+
+		public DemoEntity() {
+		}
+
+		public DemoEntity(Long id, A a, B b, C c) {
+			this.id = id;
+			this.a = a;
+			this.b = b;
+			this.c = c;
+		}
+	}
+
+	@Entity( name = "AEntity" )
+	static class A {
+		@Id
+		private Integer id;
+
+		public A() {
+		}
+
+		public A(Integer id) {
+			this.id = id;
+		}
+	}
+
+	@Entity( name = "BEntity" )
+	static class B {
+		@Id
+		private Integer id;
+
+		public B() {
+		}
+
+		public B(Integer id) {
+			this.id = id;
+		}
+	}
+
+	@Entity( name = "CEntity" )
+	static class C {
+		@Id
+		private Integer id;
+
+		public C() {
+		}
+
+		public C(Integer id) {
+			this.id = id;
+		}
+	}
+}