diff --git a/cc/androidmk.go b/cc/androidmk.go
index ce35b5c..980dd07 100644
--- a/cc/androidmk.go
+++ b/cc/androidmk.go
@@ -124,14 +124,17 @@
 						}
 					}
 				}
-				if c.Properties.IsSdkVariant && c.Properties.SdkAndPlatformVariantVisibleToMake {
+				if c.Properties.IsSdkVariant {
 					// Make the SDK variant uninstallable so that there are not two rules to install
 					// to the same location.
 					entries.SetBool("LOCAL_UNINSTALLABLE_MODULE", true)
-					// Add the unsuffixed name to SOONG_SDK_VARIANT_MODULES so that Make can rewrite
-					// dependencies to the .sdk suffix when building a module that uses the SDK.
-					entries.SetString("SOONG_SDK_VARIANT_MODULES",
-						"$(SOONG_SDK_VARIANT_MODULES) $(patsubst %.sdk,%,$(LOCAL_MODULE))")
+
+					if c.Properties.SdkAndPlatformVariantVisibleToMake {
+						// Add the unsuffixed name to SOONG_SDK_VARIANT_MODULES so that Make can rewrite
+						// dependencies to the .sdk suffix when building a module that uses the SDK.
+						entries.SetString("SOONG_SDK_VARIANT_MODULES",
+							"$(SOONG_SDK_VARIANT_MODULES) $(patsubst %.sdk,%,$(LOCAL_MODULE))")
+					}
 				}
 			},
 		},
diff --git a/cc/sdk.go b/cc/sdk.go
index 3e50c9f..23dd0cb 100644
--- a/cc/sdk.go
+++ b/cc/sdk.go
@@ -47,16 +47,16 @@
 
 			// Mark the SDK variant.
 			modules[1].(*Module).Properties.IsSdkVariant = true
+			// SDK variant is not supposed to be installed
+			modules[1].(*Module).Properties.PreventInstall = true
 
 			if ctx.Config().UnbundledBuildApps() {
 				// For an unbundled apps build, hide the platform variant from Make.
 				modules[0].(*Module).Properties.HideFromMake = true
-				modules[0].(*Module).Properties.PreventInstall = true
 			} else {
 				// For a platform build, mark the SDK variant so that it gets a ".sdk" suffix when
 				// exposed to Make.
 				modules[1].(*Module).Properties.SdkAndPlatformVariantVisibleToMake = true
-				modules[1].(*Module).Properties.PreventInstall = true
 			}
 			ctx.AliasVariation("")
 		} else if isCcModule && ccModule.isImportedApiLibrary() {
@@ -64,16 +64,19 @@
 			if apiLibrary.hasNDKStubs() && ccModule.canUseSdk() {
 				// Handle cc_api_library module with NDK stubs and variants only which can use SDK
 				modules := ctx.CreateVariations("", "sdk")
+
+				// Mark the SDK variant.
 				modules[1].(*Module).Properties.IsSdkVariant = true
+				// SDK variant is not supposed to be installed
+				modules[1].(*Module).Properties.PreventInstall = true
+
 				if ctx.Config().UnbundledBuildApps() {
 					// For an unbundled apps build, hide the platform variant from Make.
 					modules[0].(*Module).Properties.HideFromMake = true
-					modules[0].(*Module).Properties.PreventInstall = true
 				} else {
 					// For a platform build, mark the SDK variant so that it gets a ".sdk" suffix when
 					// exposed to Make.
 					modules[1].(*Module).Properties.SdkAndPlatformVariantVisibleToMake = true
-					modules[1].(*Module).Properties.PreventInstall = true
 				}
 			} else {
 				ccModule.Properties.Sdk_version = nil
diff --git a/cc/sdk_test.go b/cc/sdk_test.go
index 61925e3..790440c 100644
--- a/cc/sdk_test.go
+++ b/cc/sdk_test.go
@@ -101,3 +101,95 @@
 	assertDep(t, libsdkNDK, libcxxNDK)
 	assertDep(t, libsdkPlatform, libcxxPlatform)
 }
+
+func TestMakeModuleNameForSdkVariant(t *testing.T) {
+	bp := `
+		cc_library {
+			name: "libfoo",
+			srcs: ["main_test.cpp"],
+			sdk_version: "current",
+			stl: "none",
+		}
+	`
+	platformVariant := "android_arm64_armv8-a_shared"
+	sdkVariant := "android_arm64_armv8-a_sdk_shared"
+	testCases := []struct {
+		name              string
+		unbundledApps     []string
+		variant           string
+		skipInstall       bool // soong skips install
+		hideFromMake      bool // no make entry
+		makeUninstallable bool // make skips install
+		makeModuleName    string
+	}{
+		{
+			name:          "platform variant in normal builds",
+			unbundledApps: nil,
+			variant:       platformVariant,
+			// installable in soong
+			skipInstall: false,
+			// visiable in Make as "libfoo"
+			hideFromMake:   false,
+			makeModuleName: "libfoo",
+			// installable in Make
+			makeUninstallable: false,
+		},
+		{
+			name:          "sdk variant in normal builds",
+			unbundledApps: nil,
+			variant:       sdkVariant,
+			// soong doesn't install
+			skipInstall: true,
+			// visible in Make as "libfoo.sdk"
+			hideFromMake:   false,
+			makeModuleName: "libfoo.sdk",
+			// but not installed
+			makeUninstallable: true,
+		},
+		{
+			name:          "platform variant in unbunded builds",
+			unbundledApps: []string{"bar"},
+			variant:       platformVariant,
+			// installable in soong
+			skipInstall: false,
+			// hidden from make
+			hideFromMake: true,
+		},
+		{
+			name:          "sdk variant in unbunded builds",
+			unbundledApps: []string{"bar"},
+			variant:       sdkVariant,
+			// soong doesn't install
+			skipInstall: true,
+			// visible in Make as "libfoo"
+			hideFromMake:   false,
+			makeModuleName: "libfoo",
+			// but not installed
+			makeUninstallable: true,
+		},
+	}
+	for _, tc := range testCases {
+		t.Run(tc.name, func(t *testing.T) {
+			fixture := android.GroupFixturePreparers(prepareForCcTest,
+				android.FixtureModifyProductVariables(func(variables android.FixtureProductVariables) {
+					variables.Unbundled_build_apps = tc.unbundledApps
+				}),
+			)
+			ctx := fixture.RunTestWithBp(t, bp).TestContext
+			module := ctx.ModuleForTests("libfoo", tc.variant).Module().(*Module)
+			android.AssertBoolEquals(t, "IsSkipInstall", tc.skipInstall, module.IsSkipInstall())
+			android.AssertBoolEquals(t, "HideFromMake", tc.hideFromMake, module.HiddenFromMake())
+			if !tc.hideFromMake {
+				entries := android.AndroidMkEntriesForTest(t, ctx, module)[0]
+				android.AssertStringEquals(t, "LOCAL_MODULE",
+					tc.makeModuleName, entries.EntryMap["LOCAL_MODULE"][0])
+				actualUninstallable := false
+				if actual, ok := entries.EntryMap["LOCAL_UNINSTALLABLE_MODULE"]; ok {
+					actualUninstallable = "true" == actual[0]
+				}
+				android.AssertBoolEquals(t, "LOCAL_UNINSTALLABLE_MODULE",
+					tc.makeUninstallable, actualUninstallable)
+			}
+		})
+	}
+}
diff --git a/filesystem/filesystem_test.go b/filesystem/filesystem_test.go
index 444ffd0..a65d9dd 100644
--- a/filesystem/filesystem_test.go
+++ b/filesystem/filesystem_test.go
@@ -188,3 +188,40 @@
 	android.AssertStringDoesContain(t, "Can't find --include_descriptors_from_image",
 		cmd, "--include_descriptors_from_image ")
 }
+
+func TestFileSystemShouldInstallCoreVariantIfTargetBuildAppsIsSet(t *testing.T) {
+	context := android.GroupFixturePreparers(
+		fixture,
+		android.FixtureModifyProductVariables(func(variables android.FixtureProductVariables) {
+			variables.Unbundled_build_apps = []string{"bar"}
+		}),
+	)
+	result := context.RunTestWithBp(t, `
+		android_system_image {
+			name: "myfilesystem",
+			deps: [
+				"libfoo",
+			],
+			linker_config_src: "linker.config.json",
+		}
+
+		cc_library {
+			name: "libfoo",
+			shared_libs: [
+				"libbar",
+			],
+			stl: "none",
+		}
+
+		cc_library {
+			name: "libbar",
+			sdk_version: "9",
+			stl: "none",
+		}
+	`)
+
+	inputs := result.ModuleForTests("myfilesystem", "android_common").Output("deps.zip").Implicits
+	android.AssertStringListContains(t, "filesystem should have libbar even for unbundled build",
+		inputs.Strings(),
+		"out/soong/.intermediates/libbar/android_arm64_armv8-a_shared/libbar.so")
+}