diff --git a/include/vcl/idle.hxx b/include/vcl/idle.hxx
index cb96c09864c5..18d4e8abaab7 100644
--- a/include/vcl/idle.hxx
+++ b/include/vcl/idle.hxx
@@ -35,8 +35,8 @@ private:
     sal_uInt64    GetTimeout() const = delete;
 
 protected:
-    virtual bool ReadyForSchedule( sal_uInt64 nTimeNow ) const override;
-    virtual sal_uInt64 UpdateMinPeriod( sal_uInt64 nMinPeriod, sal_uInt64 nTimeNow ) const override;
+    virtual sal_uInt64 UpdateMinPeriod(
+        sal_uInt64 nMinPeriod, sal_uInt64 nTimeNow ) const override;
 
     Idle( bool bAuto, const sal_Char *pDebugName = nullptr );
 
diff --git a/include/vcl/scheduler.hxx b/include/vcl/scheduler.hxx
index 669a402f73d6..ff5885edb36f 100644
--- a/include/vcl/scheduler.hxx
+++ b/include/vcl/scheduler.hxx
@@ -35,9 +35,6 @@ class VCL_DLLPUBLIC Scheduler final
     static inline bool HasPendingTasks( const ImplSchedulerContext &rSchedCtx,
                                         const sal_uInt64 nTime );
 
-    static inline void UpdateMinPeriod( ImplSchedulerData *pSchedulerData,
-                                        sal_uInt64 nTime, sal_uInt64 &nMinPeriod );
-
     static inline void UpdateSystemTimer( ImplSchedulerContext &rSchedCtx,
                                           sal_uInt64 nMinPeriod,
                                           bool bForce, sal_uInt64 nTime );
diff --git a/include/vcl/task.hxx b/include/vcl/task.hxx
index 21eb934fee6d..5148ac31bebf 100644
--- a/include/vcl/task.hxx
+++ b/include/vcl/task.hxx
@@ -56,11 +56,18 @@ protected:
     const ImplSchedulerData* GetSchedulerData() const { return mpSchedulerData; }
 
     virtual void SetDeletionFlags();
-    /// Is this item ready to be dispatched at nTimeNow
-    virtual bool ReadyForSchedule( sal_uInt64 nTimeNow ) const = 0;
+
     /**
-     * Adjust nMinPeriod downwards if we want to be notified before
-     * then, nTimeNow is the current time.
+     * How long (in MS) until the Task is ready to be dispatched?
+     *
+     * Simply return Scheduler::ImmediateTimeoutMs if you're ready, like an
+     * Idle. If you have to return Scheduler::InfiniteTimeoutMs, you probably
+     * need an other mechanism to wake up the Scheduler or rely on other
+     * Tasks to be scheduled, or simply use a polling Timer.
+     *
+     * @param nMinPeriod the currently expected sleep time
+     * @param nTimeNow the current time
+     * @return the sleep time of the Task to become ready
      */
     virtual sal_uInt64 UpdateMinPeriod( sal_uInt64 nMinPeriod, sal_uInt64 nTimeNow ) const = 0;
 
diff --git a/include/vcl/timer.hxx b/include/vcl/timer.hxx
index 5be766cb6aa7..d26004cc5312 100644
--- a/include/vcl/timer.hxx
+++ b/include/vcl/timer.hxx
@@ -31,8 +31,8 @@ class VCL_DLLPUBLIC Timer : public Task
 
 protected:
     virtual void SetDeletionFlags() override;
-    virtual bool ReadyForSchedule( sal_uInt64 nTimeNow ) const override;
-    virtual sal_uInt64 UpdateMinPeriod( sal_uInt64 nMinPeriod, sal_uInt64 nTimeNow ) const override;
+    virtual sal_uInt64 UpdateMinPeriod(
+        sal_uInt64 nMinPeriod, sal_uInt64 nTimeNow ) const override;
 
     Timer( bool bAuto, const sal_Char *pDebugName = nullptr );
 
diff --git a/vcl/source/app/idle.cxx b/vcl/source/app/idle.cxx
index 4cbd3f8c0ed6..78c114801868 100644
--- a/vcl/source/app/idle.cxx
+++ b/vcl/source/app/idle.cxx
@@ -55,11 +55,6 @@ void Idle::Start()
     Task::StartTimer(nPeriod);
 }
 
-bool Idle::ReadyForSchedule( sal_uInt64 /* nTimeNow */ ) const
-{
-    return true;
-}
-
 sal_uInt64 Idle::UpdateMinPeriod( sal_uInt64 /* nMinPeriod */, sal_uInt64 /* nTimeNow */ ) const
 {
     return Scheduler::ImmediateTimeoutMs;
diff --git a/vcl/source/app/scheduler.cxx b/vcl/source/app/scheduler.cxx
index d97233cad096..8e5031a3e527 100644
--- a/vcl/source/app/scheduler.cxx
+++ b/vcl/source/app/scheduler.cxx
@@ -172,19 +172,6 @@ bool Scheduler::GetDeterministicMode()
     return g_bDeterministicMode;
 }
 
-inline void Scheduler::UpdateMinPeriod( ImplSchedulerData * const pSchedulerData,
-                                        const sal_uInt64 nTime, sal_uInt64 &nMinPeriod )
-{
-    if ( nMinPeriod > ImmediateTimeoutMs )
-    {
-        sal_uInt64 nCurPeriod = nMinPeriod;
-        nMinPeriod = pSchedulerData->mpTask->UpdateMinPeriod( nCurPeriod, nTime );
-        assert( nMinPeriod <= nCurPeriod );
-        if ( nCurPeriod < nMinPeriod )
-            nMinPeriod = nCurPeriod;
-    }
-}
-
 inline void Scheduler::UpdateSystemTimer( ImplSchedulerContext &rSchedCtx,
                                           const sal_uInt64 nMinPeriod,
                                           const bool bForce, const sal_uInt64 nTime )
@@ -254,6 +241,8 @@ bool Scheduler::ProcessTaskScheduling()
     ImplSchedulerData *pMostUrgent = nullptr;
     ImplSchedulerData *pPrevMostUrgent = nullptr;
     sal_uInt64         nMinPeriod = InfiniteTimeoutMs;
+    sal_uInt64         nMostUrgentPeriod = InfiniteTimeoutMs;
+    sal_uInt64         nReadyPeriod = InfiniteTimeoutMs;
 
     DBG_TESTSOLARMUTEX();
 
@@ -298,16 +287,18 @@ bool Scheduler::ProcessTaskScheduling()
             goto next_entry;
 
         // skip ready tasks with lower priority than the most urgent (numerical lower is higher)
-        if ( pSchedulerData->mpTask->ReadyForSchedule( nTime ) &&
+        nReadyPeriod = pSchedulerData->mpTask->UpdateMinPeriod( nMinPeriod, nTime );
+        if ( ImmediateTimeoutMs == nReadyPeriod &&
              (!pMostUrgent || (pSchedulerData->mpTask->GetPriority() < pMostUrgent->mpTask->GetPriority())) )
         {
-            if ( pMostUrgent )
-                UpdateMinPeriod( pMostUrgent, nTime, nMinPeriod );
+            if ( pMostUrgent && nMinPeriod > nMostUrgentPeriod )
+                nMinPeriod = nMostUrgentPeriod;
             pPrevMostUrgent = pPrevSchedulerData;
             pMostUrgent = pSchedulerData;
+            nMostUrgentPeriod = nReadyPeriod;
         }
-        else
-            UpdateMinPeriod( pSchedulerData, nTime, nMinPeriod );
+        else if ( nMinPeriod > nReadyPeriod )
+            nMinPeriod = nReadyPeriod;
 
 next_entry:
         pPrevSchedulerData = pSchedulerData;
@@ -360,7 +351,9 @@ next_entry:
             if ( pMostUrgent->mpTask && pMostUrgent->mpTask->IsActive() )
             {
                 pMostUrgent->mnUpdateTime = nTime;
-                UpdateMinPeriod( pMostUrgent, nTime, nMinPeriod );
+                nReadyPeriod = pMostUrgent->mpTask->UpdateMinPeriod( nMinPeriod, nTime );
+                if ( nMinPeriod > nReadyPeriod )
+                    nMinPeriod = nReadyPeriod;
                 UpdateSystemTimer( rSchedCtx, nMinPeriod, false, nTime );
             }
         }
diff --git a/vcl/source/app/timer.cxx b/vcl/source/app/timer.cxx
index 18796806a318..6cba9e2f2b2f 100644
--- a/vcl/source/app/timer.cxx
+++ b/vcl/source/app/timer.cxx
@@ -30,21 +30,11 @@ void Timer::SetDeletionFlags()
         Task::SetDeletionFlags();
 }
 
-bool Timer::ReadyForSchedule( sal_uInt64 nTimeNow ) const
-{
-    return (GetSchedulerData()->mnUpdateTime + mnTimeout) <= nTimeNow;
-}
-
-sal_uInt64 Timer::UpdateMinPeriod( sal_uInt64 nMinPeriod, sal_uInt64 nTimeNow ) const
+sal_uInt64 Timer::UpdateMinPeriod( sal_uInt64, sal_uInt64 nTimeNow ) const
 {
     sal_uInt64 nWakeupTime = GetSchedulerData()->mnUpdateTime + mnTimeout;
-    if( nWakeupTime <= nTimeNow )
-        return Scheduler::ImmediateTimeoutMs;
-    else
-    {
-        sal_uInt64 nSleepTime = nWakeupTime - nTimeNow;
-        return ( nSleepTime < nMinPeriod ) ? nSleepTime : nMinPeriod;
-    }
+    return ( nWakeupTime <= nTimeNow )
+        ? Scheduler::ImmediateTimeoutMs : nWakeupTime - nTimeNow;
 }
 
 Timer::Timer( bool bAuto, const sal_Char *pDebugName )