diff --git a/settings/controller/checksetupcontroller.php b/settings/controller/checksetupcontroller.php
index bd3e7f157b..2ff55fc72c 100644
--- a/settings/controller/checksetupcontroller.php
+++ b/settings/controller/checksetupcontroller.php
@@ -123,7 +123,7 @@ class CheckSetupController extends Controller {
 	 *
 	 * @return array
 	 */
-	public function getCurlVersion() {
+	protected function getCurlVersion() {
 		return curl_version();
 	}
 
@@ -137,6 +137,24 @@ class CheckSetupController extends Controller {
 	 * @return string
 	 */
 	private function isUsedTlsLibOutdated() {
+		// Appstore is disabled by default in EE
+		$appStoreDefault = false;
+		if (\OC_Util::getEditionString() === '') {
+			$appStoreDefault = true;
+		}
+
+		// Don't run check when:
+		// 1. Server has `has_internet_connection` set to false
+		// 2. AppStore AND S2S is disabled
+		if(!$this->config->getSystemValue('has_internet_connection', true)) {
+			return '';
+		}
+		if(!$this->config->getSystemValue('appstoreenabled', $appStoreDefault)
+			&& $this->config->getAppValue('files_sharing', 'outgoing_server2server_share_enabled', 'yes') === 'no'
+			&& $this->config->getAppValue('files_sharing', 'incoming_server2server_share_enabled', 'yes') === 'no') {
+			return '';
+		}
+
 		$versionString = $this->getCurlVersion();
 		if(isset($versionString['ssl_version'])) {
 			$versionString = $versionString['ssl_version'];
@@ -145,7 +163,7 @@ class CheckSetupController extends Controller {
 		}
 
 		$features = (string)$this->l10n->t('installing and updating apps via the app store or Federated Cloud Sharing');
-		if(!$this->config->getSystemValue('appstoreenabled', true)) {
+		if(!$this->config->getSystemValue('appstoreenabled', $appStoreDefault)) {
 			$features = (string)$this->l10n->t('Federated Cloud Sharing');
 		}
 
diff --git a/tests/settings/controller/CheckSetupControllerTest.php b/tests/settings/controller/CheckSetupControllerTest.php
index c453822464..ebba18de5f 100644
--- a/tests/settings/controller/CheckSetupControllerTest.php
+++ b/tests/settings/controller/CheckSetupControllerTest.php
@@ -292,6 +292,10 @@ class CheckSetupControllerTest extends TestCase {
 			->with('memcache.local', null)
 			->will($this->returnValue('SomeProvider'));
 		$this->config->expects($this->at(2))
+			->method('getSystemValue')
+			->with('has_internet_connection', true)
+			->will($this->returnValue(false));
+		$this->config->expects($this->at(3))
 			->method('getSystemValue')
 			->with('trusted_proxies', [])
 			->willReturn(['1.2.3.4']);
@@ -365,10 +369,13 @@ class CheckSetupControllerTest extends TestCase {
 			])
 			->setMethods(null)->getMock();
 
-		$this->assertArrayHasKey('ssl_version', $checkSetupController->getCurlVersion());
+		$this->assertArrayHasKey('ssl_version', $this->invokePrivate($checkSetupController, 'getCurlVersion'));
 	}
 
 	public function testIsUsedTlsLibOutdatedWithAnotherLibrary() {
+		$this->config->expects($this->any())
+			->method('getSystemValue')
+			->will($this->returnValue(true));
 		$this->checkSetupController
 			->expects($this->once())
 			->method('getCurlVersion')
@@ -377,6 +384,9 @@ class CheckSetupControllerTest extends TestCase {
 	}
 
 	public function testIsUsedTlsLibOutdatedWithMisbehavingCurl() {
+		$this->config->expects($this->any())
+			->method('getSystemValue')
+			->will($this->returnValue(true));
 		$this->checkSetupController
 			->expects($this->once())
 			->method('getCurlVersion')
@@ -385,10 +395,8 @@ class CheckSetupControllerTest extends TestCase {
 	}
 
 	public function testIsUsedTlsLibOutdatedWithOlderOpenSsl() {
-		$this->config
-			->expects($this->once())
+		$this->config->expects($this->any())
 			->method('getSystemValue')
-			->with('appstoreenabled', true)
 			->will($this->returnValue(true));
 		$this->checkSetupController
 			->expects($this->once())
@@ -399,10 +407,10 @@ class CheckSetupControllerTest extends TestCase {
 
 	public function testIsUsedTlsLibOutdatedWithOlderOpenSslAndWithoutAppstore() {
 		$this->config
-			->expects($this->once())
+			->expects($this->at(0))
 			->method('getSystemValue')
-			->with('appstoreenabled', true)
-			->will($this->returnValue(false));
+			->with('has_internet_connection', true)
+			->will($this->returnValue(true));
 		$this->checkSetupController
 			->expects($this->once())
 			->method('getCurlVersion')
@@ -411,10 +419,8 @@ class CheckSetupControllerTest extends TestCase {
 	}
 
 	public function testIsUsedTlsLibOutdatedWithOlderOpenSsl1() {
-		$this->config
-			->expects($this->once())
+		$this->config->expects($this->any())
 			->method('getSystemValue')
-			->with('appstoreenabled', true)
 			->will($this->returnValue(true));
 		$this->checkSetupController
 			->expects($this->once())
@@ -424,6 +430,9 @@ class CheckSetupControllerTest extends TestCase {
 	}
 
 	public function testIsUsedTlsLibOutdatedWithMatchingOpenSslVersion() {
+		$this->config->expects($this->any())
+			->method('getSystemValue')
+			->will($this->returnValue(true));
 		$this->checkSetupController
 			->expects($this->once())
 			->method('getCurlVersion')
@@ -432,6 +441,9 @@ class CheckSetupControllerTest extends TestCase {
 	}
 
 	public function testIsUsedTlsLibOutdatedWithMatchingOpenSslVersion1() {
+		$this->config->expects($this->any())
+			->method('getSystemValue')
+			->will($this->returnValue(true));
 		$this->checkSetupController
 			->expects($this->once())
 			->method('getCurlVersion')
@@ -440,10 +452,8 @@ class CheckSetupControllerTest extends TestCase {
 	}
 
 	public function testIsBuggyNss400() {
-		$this->config
-			->expects($this->once())
+		$this->config->expects($this->any())
 			->method('getSystemValue')
-			->with('appstoreenabled', true)
 			->will($this->returnValue(true));
 		$this->checkSetupController
 			->expects($this->once())
@@ -476,6 +486,9 @@ class CheckSetupControllerTest extends TestCase {
 
 
 	public function testIsBuggyNss200() {
+		$this->config->expects($this->any())
+			->method('getSystemValue')
+			->will($this->returnValue(true));
 		$this->checkSetupController
 			->expects($this->once())
 			->method('getCurlVersion')
@@ -504,4 +517,83 @@ class CheckSetupControllerTest extends TestCase {
 
 		$this->assertSame('', $this->invokePrivate($this->checkSetupController, 'isUsedTlsLibOutdated'));
 	}
+
+	public function testIsUsedTlsLibOutdatedWithInternetDisabled() {
+		$this->config
+			->expects($this->at(0))
+			->method('getSystemValue')
+			->with('has_internet_connection', true)
+			->will($this->returnValue(false));
+		$this->assertSame('', $this->invokePrivate($this->checkSetupController, 'isUsedTlsLibOutdated'));
+	}
+
+	public function testIsUsedTlsLibOutdatedWithAppstoreDisabledAndServerToServerSharingEnabled() {
+		// Appstore is disabled by default in EE
+		$appStoreDefault = false;
+		if (\OC_Util::getEditionString() === '') {
+			$appStoreDefault = true;
+		}
+
+		$this->config
+			->expects($this->at(0))
+			->method('getSystemValue')
+			->with('has_internet_connection', true)
+			->will($this->returnValue(true));
+		$this->config
+			->expects($this->at(1))
+			->method('getSystemValue')
+			->with('appstoreenabled', $appStoreDefault)
+			->will($this->returnValue(false));
+		$this->config
+			->expects($this->at(2))
+			->method('getAppValue')
+			->with('files_sharing', 'outgoing_server2server_share_enabled', 'yes')
+			->will($this->returnValue('no'));
+		$this->config
+			->expects($this->at(3))
+			->method('getAppValue')
+			->with('files_sharing', 'incoming_server2server_share_enabled', 'yes')
+			->will($this->returnValue('yes'));
+
+		$this->checkSetupController
+			->expects($this->once())
+			->method('getCurlVersion')
+			->will($this->returnValue([]));
+		$this->assertSame('', $this->invokePrivate($this->checkSetupController, 'isUsedTlsLibOutdated'));
+	}
+
+	public function testIsUsedTlsLibOutdatedWithAppstoreDisabledAndServerToServerSharingDisabled() {
+		// Appstore is disabled by default in EE
+		$appStoreDefault = false;
+		if (\OC_Util::getEditionString() === '') {
+			$appStoreDefault = true;
+		}
+
+		$this->config
+			->expects($this->at(0))
+			->method('getSystemValue')
+			->with('has_internet_connection', true)
+			->will($this->returnValue(true));
+		$this->config
+			->expects($this->at(1))
+			->method('getSystemValue')
+			->with('appstoreenabled', $appStoreDefault)
+			->will($this->returnValue(false));
+		$this->config
+			->expects($this->at(2))
+			->method('getAppValue')
+			->with('files_sharing', 'outgoing_server2server_share_enabled', 'yes')
+			->will($this->returnValue('no'));
+		$this->config
+			->expects($this->at(3))
+			->method('getAppValue')
+			->with('files_sharing', 'incoming_server2server_share_enabled', 'yes')
+			->will($this->returnValue('no'));
+
+		$this->checkSetupController
+			->expects($this->never())
+			->method('getCurlVersion')
+			->will($this->returnValue([]));
+		$this->assertSame('', $this->invokePrivate($this->checkSetupController, 'isUsedTlsLibOutdated'));
+	}
 }