--- a/layout/base/nsDisplayList.cpp
+++ b/layout/base/nsDisplayList.cpp
@@ -384,16 +384,39 @@ AddAnimationForProperty(nsIFrame* aFrame
   TransformReferenceBox refBox(aFrame);
 
   layers::Animation* animation =
     aPending ?
     aLayer->AddAnimationForNextTransaction() :
     aLayer->AddAnimation();
 
   const TimingParams& timing = aAnimation->GetEffect()->SpecifiedTiming();
+
+  // If we are starting a new transition that replaces an existing transition
+  // running on the compositor, it is possible that the animation on the
+  // compositor will have advanced ahead of the main thread. If we use as
+  // the starting point of the new transition, the current value of the
+  // replaced transition as calculated on the main thread using the refresh
+  // driver time, the new transition will jump when it starts. Instead, we
+  // re-calculate the starting point of the new transition by applying the
+  // current TimeStamp to the parameters of the replaced transition.
+  //
+  // We need to do this here, rather than when we generate the new transition,
+  // since after generating the new transition other requestAnimationFrame
+  // callbacks may run that introduce further lag between the main thread and
+  // the compositor.
+  if (aAnimation->AsCSSTransition() &&
+      aAnimation->GetEffect()) {
+    MOZ_ASSERT(aAnimation->GetEffect()->AsTransition(),
+               "CSSTransition' effect should be an ElementPropertyTransition "
+               "until we fix bug 1049975");
+    aAnimation->GetEffect()->AsTransition()->
+      UpdateStartValueFromReplacedTransition();
+  }
+
   const ComputedTiming computedTiming =
     aAnimation->GetEffect()->GetComputedTiming();
   Nullable<TimeDuration> startTime = aAnimation->GetCurrentOrPendingStartTime();
   animation->startTime() = startTime.IsNull()
                            ? TimeStamp()
                            : aAnimation->AnimationTimeToTimeStamp(
                               StickyTimeDuration(timing.mDelay));
   animation->initialCurrentTime() = aAnimation->GetCurrentTime().Value()

--- a/layout/style/nsTransitionManager.cpp
+++ b/layout/style/nsTransitionManager.cpp
@@ -65,16 +65,57 @@ ElementPropertyTransition::CurrentValueP
              "Got a null progress for a fill mode of 'both'");
   MOZ_ASSERT(mKeyframes.Length() == 2,
              "Should have two animation keyframes for a transition");
   return ComputedTimingFunction::GetPortion(mKeyframes[0].mTimingFunction,
                                             computedTiming.mProgress.Value(),
                                             computedTiming.mBeforeFlag);
 }
 
+void
+ElementPropertyTransition::UpdateStartValueFromReplacedTransition()
+{
+  if (!mReplacedTransition) {
+    return;
+  }
+  MOZ_ASSERT(nsCSSProps::PropHasFlags(TransitionProperty(),
+                                      CSS_PROPERTY_CAN_ANIMATE_ON_COMPOSITOR),
+             "The transition property should be able to be run on the "
+             "compositor");
+  MOZ_ASSERT(mTarget && mTarget->mElement->OwnerDoc(),
+             "We should have a valid document at this moment");
+
+  dom::DocumentTimeline* timeline = mTarget->mElement->OwnerDoc()->Timeline();
+  ComputedTiming computedTiming = GetComputedTimingAt(
+    dom::CSSTransition::GetCurrentTimeAt(*timeline,
+                                         TimeStamp::Now(),
+                                         mReplacedTransition->mStartTime,
+                                         mReplacedTransition->mPlaybackRate),
+    mReplacedTransition->mTiming);
+
+  if (!computedTiming.mProgress.IsNull()) {
+    double valuePosition =
+      ComputedTimingFunction::GetPortion(mReplacedTransition->mTimingFunction,
+                                         computedTiming.mProgress.Value(),
+                                         computedTiming.mBeforeFlag);
+    StyleAnimationValue startValue;
+    if (StyleAnimationValue::Interpolate(mProperties[0].mProperty,
+                                         mReplacedTransition->mFromValue,
+                                         mReplacedTransition->mToValue,
+                                         valuePosition, startValue)) {
+      MOZ_ASSERT(mProperties.Length() == 1 &&
+                 mProperties[0].mSegments.Length() == 1,
+                 "The transition should have one property and one segment");
+      mProperties[0].mSegments[0].mFromValue = Move(startValue);
+    }
+  }
+
+  mReplacedTransition.reset();
+}
+
 ////////////////////////// CSSTransition ////////////////////////////
 
 JSObject*
 CSSTransition::WrapObject(JSContext* aCx, JS::Handle<JSObject*> aGivenProto)
 {
   return dom::CSSTransitionBinding::Wrap(aCx, this, aGivenProto);
 }
 
@@ -199,16 +240,33 @@ CSSTransition::HasLowerCompositeOrderTha
     return mAnimationIndex < aOther.mAnimationIndex;
   }
 
   // 3. (Same transition generation): Sort by transition property
   return nsCSSProps::GetStringValue(TransitionProperty()) <
          nsCSSProps::GetStringValue(aOther.TransitionProperty());
 }
 
+/* static */ Nullable<TimeDuration>
+CSSTransition::GetCurrentTimeAt(const DocumentTimeline& aTimeline,
+                                const TimeStamp& aBaseTime,
+                                const TimeDuration& aStartTime,
+                                double aPlaybackRate)
+{
+  Nullable<TimeDuration> result;
+
+  Nullable<TimeDuration> timelineTime = aTimeline.ToTimelineTime(aBaseTime);
+  if (!timelineTime.IsNull()) {
+    result.SetValue((timelineTime.Value() - aStartTime)
+                      .MultDouble(aPlaybackRate));
+  }
+
+  return result;
+}
+
 ////////////////////////// nsTransitionManager ////////////////////////////
 
 NS_IMPL_CYCLE_COLLECTION(nsTransitionManager, mEventDispatcher)
 
 NS_IMPL_CYCLE_COLLECTION_ROOT_NATIVE(nsTransitionManager, AddRef)
 NS_IMPL_CYCLE_COLLECTION_UNROOT_NATIVE(nsTransitionManager, Release)
 
 void
@@ -741,16 +799,39 @@ nsTransitionManager::ConsiderStartingTra
       i == currentIndex ||
       (animations[i]->GetEffect() &&
        animations[i]->GetEffect()->AsTransition()->TransitionProperty()
          != aProperty),
       "duplicate transitions for property");
   }
 #endif
   if (haveCurrentTransition) {
+    // If this new transition is replacing an existing transition that is running
+    // on the compositor, we store select parameters from the replaced transition
+    // so that later, once all scripts have run, we can update the start value
+    // of the transition using TimeStamp::Now(). This allows us to avoid a
+    // large jump when starting a new transition when the main thread lags behind
+    // the compositor.
+    if (oldPT->IsCurrent() &&
+        oldPT->IsRunningOnCompositor() &&
+        !oldPT->GetAnimation()->GetStartTime().IsNull() &&
+        timeline == oldPT->GetAnimation()->GetTimeline()) {
+      const AnimationPropertySegment& segment =
+        oldPT->Properties()[0].mSegments[0];
+      pt->mReplacedTransition.emplace(
+        ElementPropertyTransition::ReplacedTransitionProperties({
+          oldPT->GetAnimation()->GetStartTime().Value(),
+          oldPT->GetAnimation()->PlaybackRate(),
+          oldPT->SpecifiedTiming(),
+          segment.mTimingFunction,
+          segment.mFromValue,
+          segment.mToValue
+        })
+      );
+    }
     animations[currentIndex]->CancelFromStyle();
     oldPT = nullptr; // Clear pointer so it doesn't dangle
     animations[currentIndex] = animation;
   } else {
     if (!animations.AppendElement(animation)) {
       NS_WARNING("out of memory");
       return;
     }

--- a/layout/style/nsTransitionManager.h
+++ b/layout/style/nsTransitionManager.h
@@ -90,16 +90,30 @@ struct ElementPropertyTransition : publi
   // in again when the transition is back to 2px, the mReversePortion
   // for the third transition (from 0px/2px to 10px) will be 0.8.
   double mReversePortion;
 
   // Compute the portion of the *value* space that we should be through
   // at the current time.  (The input to the transition timing function
   // has time units, the output has value units.)
   double CurrentValuePortion() const;
+
+  // For a new transition interrupting an existing transition on the
+  // compositor, update the start value to match the value of the replaced
+  // transitions at the current time.
+  void UpdateStartValueFromReplacedTransition();
+
+  struct ReplacedTransitionProperties {
+    TimeDuration mStartTime;
+    double mPlaybackRate;
+    TimingParams mTiming;
+    Maybe<ComputedTimingFunction> mTimingFunction;
+    StyleAnimationValue mFromValue, mToValue;
+  };
+  Maybe<ReplacedTransitionProperties> mReplacedTransition;
 };
 
 namespace dom {
 
 class CSSTransition final : public Animation
 {
 public:
  explicit CSSTransition(nsIGlobalObject* aGlobal)
@@ -179,16 +193,27 @@ public:
   void SetOwningElement(const OwningElementRef& aElement)
   {
     mOwningElement = aElement;
   }
   // True for transitions that are generated from CSS markup and continue to
   // reflect changes to that markup.
   bool IsTiedToMarkup() const { return mOwningElement.IsSet(); }
 
+  // Return the animation current time based on a given TimeStamp, a given
+  // start time and a given playbackRate on a given timeline.  This is useful
+  // when we estimate the current animated value running on the compositor
+  // because the animation on the compositor may be running ahead while
+  // main-thread is busy.
+  static Nullable<TimeDuration> GetCurrentTimeAt(
+      const DocumentTimeline& aTimeline,
+      const TimeStamp& aBaseTime,
+      const TimeDuration& aStartTime,
+      double aPlaybackRate);
+
 protected:
   virtual ~CSSTransition()
   {
     MOZ_ASSERT(!mOwningElement.IsSet(), "Owning element should be cleared "
                                         "before a CSS transition is destroyed");
   }
 
   // Animation overrides