diff --git a/CHANGES b/CHANGES
index 38caac6cb..13dd3d779 100644
--- a/CHANGES
+++ b/CHANGES
@@ -19,6 +19,11 @@ This release contains contributions from (alphabetically by first name):
  - The *keyboard* module now recognizes Turkish "F" layout and
    will set the vconsole keyboard layout correctly even if xkb
    keymaps are not found.
+ - The *machineid* module, which generates UUIDs for systemd and dbus
+   and can generate entropy files (filled from `/dev/urandom` in the host
+   system) now supports more than one entropy file; generate them as needed
+    (or copy a fixed value to all, depending on *entropy-copy*). Deprecate
+    *entropy* (which generates a specific output file) as too inflexible.
 
 
 # 3.2.30 (2020-09-03) #
diff --git a/src/modules/machineid/MachineIdJob.cpp b/src/modules/machineid/MachineIdJob.cpp
index 302e8c308..8a33288b9 100644
--- a/src/modules/machineid/MachineIdJob.cpp
+++ b/src/modules/machineid/MachineIdJob.cpp
@@ -57,14 +57,13 @@ MachineIdJob::exec()
 
     QString target_systemd_machineid_file = QStringLiteral( "/etc/machine-id" );
     QString target_dbus_machineid_file = QStringLiteral( "/var/lib/dbus/machine-id" );
-    QString target_entropy_file = QStringLiteral( "/var/lib/urandom/random-seed" );
 
     const CalamaresUtils::System* system = CalamaresUtils::System::instance();
 
     // Clear existing files
-    if ( m_entropy )
+    for ( const auto& entropy_file : m_entropy_files )
     {
-        system->removeTargetFile( target_entropy_file );
+        system->removeTargetFile( entropy_file );
     }
     if ( m_dbus )
     {
@@ -76,12 +75,18 @@ MachineIdJob::exec()
     }
 
     //Create new files
-    if ( m_entropy )
+    for ( const auto& entropy_file : m_entropy_files )
     {
+        if ( !CalamaresUtils::System::instance()->createTargetParentDirs( entropy_file ) )
+        {
+            return Calamares::JobResult::error(
+                QObject::tr( "Directory not found" ),
+                QObject::tr( "Could not create new random file <pre>%1</pre>." ).arg( entropy_file ) );
+        }
         auto r = MachineId::createEntropy( m_entropy_copy ? MachineId::EntropyGeneration::CopyFromHost
                                                           : MachineId::EntropyGeneration::New,
                                            root,
-                                           target_entropy_file );
+                                           entropy_file );
         if ( !r )
         {
             return r;
@@ -89,6 +94,10 @@ MachineIdJob::exec()
     }
     if ( m_systemd )
     {
+        if ( !system->createTargetParentDirs( target_systemd_machineid_file ) )
+        {
+            cWarning() << "Could not create systemd data-directory.";
+        }
         auto r = MachineId::createSystemdMachineId( root, target_systemd_machineid_file );
         if ( !r )
         {
@@ -143,8 +152,19 @@ MachineIdJob::setConfigurationMap( const QVariantMap& map )
     // ignore it, though, if dbus is false
     m_dbus_symlink = m_dbus && m_dbus_symlink;
 
-    m_entropy = CalamaresUtils::getBool( map, "entropy", false );
     m_entropy_copy = CalamaresUtils::getBool( map, "entropy-copy", false );
+
+    m_entropy_files = CalamaresUtils::getStringList( map, "entropy-files" );
+    if ( CalamaresUtils::getBool( map, "entropy", false ) )
+    {
+        cWarning() << "MachineId:: configuration setting *entropy* is deprecated, use *entropy-files*.";
+
+        QString target_entropy_file = QStringLiteral( "/var/lib/urandom/random-seed" );
+        if ( !m_entropy_files.contains( target_entropy_file ) )
+        {
+            m_entropy_files.append( target_entropy_file );
+        }
+    }
 }
 
 CALAMARES_PLUGIN_FACTORY_DEFINITION( MachineIdJobFactory, registerPlugin< MachineIdJob >(); )
diff --git a/src/modules/machineid/MachineIdJob.h b/src/modules/machineid/MachineIdJob.h
index b58d2f4dd..136f28ecb 100644
--- a/src/modules/machineid/MachineIdJob.h
+++ b/src/modules/machineid/MachineIdJob.h
@@ -11,6 +11,7 @@
 #define MACHINEIDJOB_H
 
 #include <QObject>
+#include <QStringList>
 #include <QVariantMap>
 
 #include "CppJob.h"
@@ -19,6 +20,9 @@
 
 #include "DllMacro.h"
 
+/** @brief Write 'random' data: machine id, entropy, UUIDs
+ *
+ */
 class PLUGINDLLEXPORT MachineIdJob : public Calamares::CppJob
 {
     Q_OBJECT
@@ -33,14 +37,22 @@ public:
 
     void setConfigurationMap( const QVariantMap& configurationMap ) override;
 
+    /** @brief The list of filenames to write full of entropy.
+     *
+     * The list may be empty (no entropy files are configure) or
+     * contain one or more filenames to be interpreted within the
+     * target system.
+     */
+    QStringList entropyFileNames() const { return m_entropy_files; }
+
 private:
     bool m_systemd = false;  ///< write systemd's files
 
     bool m_dbus = false;  ///< write dbus files
     bool m_dbus_symlink = false;  ///< .. or just symlink to systemd
 
-    bool m_entropy = false;  ///< write an entropy file
     bool m_entropy_copy = false;  ///< copy from host system
+    QStringList m_entropy_files;  ///< names of files to write
 };
 
 CALAMARES_PLUGIN_FACTORY_DECLARATION( MachineIdJobFactory )
diff --git a/src/modules/machineid/Tests.cpp b/src/modules/machineid/Tests.cpp
index 45f0e6954..13cce3de7 100644
--- a/src/modules/machineid/Tests.cpp
+++ b/src/modules/machineid/Tests.cpp
@@ -31,6 +31,7 @@ public:
 
 private Q_SLOTS:
     void initTestCase();
+    void testConfigEntropyFiles();
 
     void testCopyFile();
 
@@ -45,6 +46,65 @@ MachineIdTests::initTestCase()
     Logger::setupLogLevel( Logger::LOGDEBUG );
 }
 
+void
+MachineIdTests::testConfigEntropyFiles()
+{
+    static QString urandom_entropy( "/var/lib/urandom/random-seed" );
+    // No config at all
+    {
+        QVariantMap m;
+        MachineIdJob j;
+        j.setConfigurationMap( m );
+        QCOMPARE( j.entropyFileNames(), QStringList() );
+    }
+    // No entropy, deprecated setting
+    {
+        QVariantMap m;
+        MachineIdJob j;
+        m.insert( "entropy", false );
+        j.setConfigurationMap( m );
+        QCOMPARE( j.entropyFileNames(), QStringList() );
+    }
+    // Entropy, deprecated setting
+    {
+        QVariantMap m;
+        MachineIdJob j;
+        m.insert( "entropy", true );
+        j.setConfigurationMap( m );
+        QCOMPARE( j.entropyFileNames(), QStringList { urandom_entropy } );
+    }
+    // Duplicate entry, with deprecated setting
+    {
+        QVariantMap m;
+        MachineIdJob j;
+        m.insert( "entropy", true );
+        m.insert( "entropy-files", QStringList { urandom_entropy } );
+        j.setConfigurationMap( m );
+        QCOMPARE( j.entropyFileNames(), QStringList { urandom_entropy } );
+
+        m.clear();
+        j.setConfigurationMap( m );
+        QCOMPARE( j.entropyFileNames(), QStringList() );
+
+        // This would be weird
+        m.insert( "entropy", false );
+        m.insert( "entropy-files", QStringList { urandom_entropy } );
+        j.setConfigurationMap( m );
+        QCOMPARE( j.entropyFileNames(), QStringList { urandom_entropy } );
+    }
+    // No deprecated setting
+    {
+        QString tmp_entropy( "/tmp/entropy" );
+        QVariantMap m;
+        MachineIdJob j;
+        m.insert( "entropy-files", QStringList { urandom_entropy, tmp_entropy } );
+        j.setConfigurationMap( m );
+        QVERIFY( !j.entropyFileNames().isEmpty() );
+        QCOMPARE( j.entropyFileNames(), QStringList() << urandom_entropy << tmp_entropy );
+    }
+}
+
+
 void
 MachineIdTests::testCopyFile()
 {
@@ -100,6 +160,7 @@ MachineIdTests::testJob()
     Logger::setupLogLevel( Logger::LOGDEBUG );
 
     QTemporaryDir tempRoot( QDir::tempPath() + QStringLiteral( "/test-job-XXXXXX" ) );
+    // Only clean up if the tests succeed
     tempRoot.setAutoRemove( false );
     cDebug() << "Temporary files as" << QDir::tempPath();
 
@@ -158,6 +219,27 @@ MachineIdTests::testJob()
         QCOMPARE( fi.size(), 5 );
 #endif
     }
+
+    {
+        QString tmp_entropy2( "/pineapple.random" );
+        QString tmp_entropy( "/tmp/entropy" );
+        QVariantMap m;
+        MachineIdJob j;
+        m.insert( "entropy-files", QStringList { tmp_entropy2, tmp_entropy } );
+        m.insert( "entropy", true );
+        j.setConfigurationMap( m );
+        QCOMPARE( j.entropyFileNames().count(), 3 );  // Because of the standard entropy entry
+
+        // Check all three are created
+        auto r = j.exec();
+        QVERIFY( r );
+        for ( const auto& fileName : j.entropyFileNames() )
+        {
+            cDebug() << "Verifying existence of" << fileName;
+            QVERIFY( QFile::exists( tempRoot.filePath( fileName.mid( 1 ) ) ) );
+        }
+    }
+
     tempRoot.setAutoRemove( true );  // All tests succeeded
 }
 
diff --git a/src/modules/machineid/machineid.conf b/src/modules/machineid/machineid.conf
index 5ebf17c8c..c6189e598 100644
--- a/src/modules/machineid/machineid.conf
+++ b/src/modules/machineid/machineid.conf
@@ -19,7 +19,13 @@ dbus: true
 # (ignored if dbus is false, or if there is no /etc/machine-id to point to).
 dbus-symlink: true
 
-# Whether to create an entropy file
+# Whether to create an entropy file /var/lib/urandom/random-seed
+#
+# DEPRECATED: list the file in entropy-files instead
 entropy: false
 # Whether to copy entropy from the host
 entropy-copy: false
+# Which files to write (paths in the target)
+entropy-files:
+    - /var/lib/urandom/random-seed
+    - /var/lib/systemd/random-seed
diff --git a/src/modules/machineid/machineid.schema.yaml b/src/modules/machineid/machineid.schema.yaml
index 8b84f1d22..1ae67e132 100644
--- a/src/modules/machineid/machineid.schema.yaml
+++ b/src/modules/machineid/machineid.schema.yaml
@@ -9,7 +9,8 @@ properties:
     systemd: { type: boolean, default: true }
     dbus: { type: boolean, default: true }
     "dbus-symlink": { type: boolean, default: true }
-    entropy: { type: boolean, default: false }
     "entropy-copy": { type: boolean, default: false }
+    "entropy-files": { type: array, items: { type: string } }
     # Deprecated properties
     symlink: { type: boolean, default: true }
+    entropy: { type: boolean, default: false }