diff --git a/spring-boot-project/spring-boot-docker-compose/src/test/java/org/springframework/boot/docker/compose/service/connection/ConnectionNamePredicateTests.java b/spring-boot-project/spring-boot-docker-compose/src/test/java/org/springframework/boot/docker/compose/service/connection/ConnectionNamePredicateTests.java
index 3209a5aa2c6..4050f17f06d 100644
--- a/spring-boot-project/spring-boot-docker-compose/src/test/java/org/springframework/boot/docker/compose/service/connection/ConnectionNamePredicateTests.java
+++ b/spring-boot-project/spring-boot-docker-compose/src/test/java/org/springframework/boot/docker/compose/service/connection/ConnectionNamePredicateTests.java
@@ -61,10 +61,15 @@ class ConnectionNamePredicateTests {
 
 	@Test
 	void customDomain() {
+		assertThat(predicateOf("redis")).accepts(sourceOf("internalhost:8080/redis"));
 		assertThat(predicateOf("redis")).accepts(sourceOf("internalhost:8080/library/redis"));
+		assertThat(predicateOf("redis")).accepts(sourceOf("myhost.com/redis"));
 		assertThat(predicateOf("redis")).accepts(sourceOf("myhost.com/library/redis"));
 		assertThat(predicateOf("redis")).accepts(sourceOf("myhost.com:8080/library/redis"));
-		assertThat(predicateOf("redis")).accepts(sourceOf("internalhost:8080/redis"));
+		assertThat(predicateOf("openzipkin/zipkin")).rejects(sourceOf("myhost.com:8080/zipkin"));
+		assertThat(predicateOf("openzipkin/zipkin")).rejects(sourceOf("myhost.com:8080/library/zipkin"));
+		assertThat(predicateOf("openzipkin/zipkin")).accepts(sourceOf("myhost.com:8080/openzipkin/zipkin"));
+		assertThat(predicateOf("postgres")).accepts(sourceOf("docker.my-company.com/postgres:latest"));
 	}
 
 	@Test