diff --git a/rpm/SPECS/docker-ce-cli.spec b/rpm/SPECS/docker-ce-cli.spec
index b27c1dacd5..ee7e16ead7 100644
--- a/rpm/SPECS/docker-ce-cli.spec
+++ b/rpm/SPECS/docker-ce-cli.spec
@@ -18,7 +18,15 @@ Requires: /bin/sh
 Requires: /usr/sbin/groupadd
 # TODO change once we support scan-plugin on other architectures
 %ifarch x86_64
+# CentOS 7 and RHEL 7 do not yet support weak dependencies
+#
+# Note that we're not using <= 7 here, to account for other RPM distros, such
+# as Fedora, which would not have the rhel macro set (so default to 0).
+%if 0%{?rhel} == 7
 Requires: docker-scan-plugin(x86-64)
+%else
+Recommends: docker-scan-plugin(x86-64)
+%endif
 %endif
 
 BuildRequires: make
diff --git a/rpm/SPECS/docker-scan-plugin.spec b/rpm/SPECS/docker-scan-plugin.spec
index 2549dd1b06..6cf24a8681 100644
--- a/rpm/SPECS/docker-scan-plugin.spec
+++ b/rpm/SPECS/docker-scan-plugin.spec
@@ -12,7 +12,13 @@ URL: https://github.com/docker/scan-cli-plugin/
 Vendor: Docker
 Packager: Docker <support@docker.com>
 
-Requires: docker-ce-cli
+# CentOS 7 and RHEL 7 do not yet support weak dependencies.
+#
+# Note that we're not using <= 7 here, to account for other RPM distros, such
+# as Fedora, which would not have the rhel macro set (so default to 0).
+%if 0%{?rhel} != 7
+Enhances: docker-ce-cli
+%endif
 
 # TODO change once we support scan-plugin on other architectures
 BuildArch: x86_64