diff --git a/recipes-containers/docker/docker-ce_git.bb b/recipes-containers/docker/docker-ce_git.bb
index 14c08882..bfe4f909 100644
--- a/recipes-containers/docker/docker-ce_git.bb
+++ b/recipes-containers/docker/docker-ce_git.bb
@@ -54,4 +54,4 @@ LIC_FILES_CHKSUM = "file://src/import/LICENSE;md5=4859e97a9c7780e77972d989f0823f
 DOCKER_VERSION = "20.10.21-ce"
 PV = "${DOCKER_VERSION}+git${SRCREV_docker}"
 
-CVE_PRODUCT = "docker"
+CVE_PRODUCT = "docker mobyproject:moby"
diff --git a/recipes-containers/docker/docker-moby_git.bb b/recipes-containers/docker/docker-moby_git.bb
index 0e357cb2..2bd930c6 100644
--- a/recipes-containers/docker/docker-moby_git.bb
+++ b/recipes-containers/docker/docker-moby_git.bb
@@ -57,4 +57,4 @@ LIC_FILES_CHKSUM = "file://src/import/LICENSE;md5=4859e97a9c7780e77972d989f0823f
 DOCKER_VERSION = "20.10.21"
 PV = "${DOCKER_VERSION}+git${SRCREV_moby}"
 
-CVE_PRODUCT = "docker"
+CVE_PRODUCT = "docker mobyproject:moby"