diff --git a/engine/src/flutter/impeller/display_list/aiks_dl_path_unittests.cc b/engine/src/flutter/impeller/display_list/aiks_dl_path_unittests.cc
index 93ed97af54367..ccdfd214b7a7c 100644
--- a/engine/src/flutter/impeller/display_list/aiks_dl_path_unittests.cc
+++ b/engine/src/flutter/impeller/display_list/aiks_dl_path_unittests.cc
@@ -983,6 +983,32 @@ TEST_P(AiksTest, TwoContourPathWithSinglePointContour) {
   ASSERT_TRUE(OpenPlaygroundHere(builder.Build()));
 }
 
+TEST_P(AiksTest, TwoContourPathWithConnectingLines) {
+  DisplayListBuilder builder;
+
+  DlPaint paint;
+  paint.setColor(DlColor::kRed());
+  paint.setDrawStyle(DlDrawStyle::kStroke);
+  paint.setStrokeWidth(15.0);
+
+  builder.Translate(100, 0);
+  for (auto join : std::vector<DlStrokeJoin>{
+           DlStrokeJoin::kMiter, DlStrokeJoin::kRound, DlStrokeJoin::kBevel}) {
+    builder.Translate(0, 100);
+    paint.setStrokeJoin(join);
+
+    DlPathBuilder path_builder;
+    path_builder.MoveTo(DlPoint(0, 0));
+    path_builder.LineTo(DlPoint(50, 50));
+    path_builder.MoveTo(DlPoint(50, 50));
+    path_builder.LineTo(DlPoint(100, 0));
+
+    builder.DrawPath(path_builder.TakePath(), paint);
+  }
+
+  ASSERT_TRUE(OpenPlaygroundHere(builder.Build()));
+}
+
 TEST_P(AiksTest, StrokeCapsAndJoins) {
   DisplayListBuilder builder;
   builder.Scale(GetContentScale().x, GetContentScale().y);
diff --git a/engine/src/flutter/impeller/entity/geometry/geometry_unittests.cc b/engine/src/flutter/impeller/entity/geometry/geometry_unittests.cc
index d4cc85168ae93..0073102790cf3 100644
--- a/engine/src/flutter/impeller/entity/geometry/geometry_unittests.cc
+++ b/engine/src/flutter/impeller/entity/geometry/geometry_unittests.cc
@@ -810,7 +810,7 @@ TEST(EntityGeometryTest, TwoLineSegmentsRightTurnStrokeVerticesBevelJoin) {
       Point(30, 25),
       Point(30, 15),
 
-      // The points for the second segment (120, 20) -> (130, 20)
+      // The points for the second segment (30, 20) -> (30, 30)
       Point(25, 20),
       Point(35, 20),
       Point(25, 30),
@@ -844,7 +844,7 @@ TEST(EntityGeometryTest, TwoLineSegmentsLeftTurnStrokeVerticesBevelJoin) {
       Point(30, 25),
       Point(30, 15),
 
-      // The points for the second segment (120, 20) -> (130, 20)
+      // The points for the second segment (30, 20) -> (30, 10)
       Point(35, 20),
       Point(25, 20),
       Point(35, 10),
@@ -854,6 +854,53 @@ TEST(EntityGeometryTest, TwoLineSegmentsLeftTurnStrokeVerticesBevelJoin) {
   EXPECT_EQ(points, expected);
 }
 
+TEST(EntityGeometryTest, TwoLineSegmentsInDifferentContoursAreNotJoined) {
+  flutter::DlPathBuilder path_builder;
+  // First contour with a single line.
+  path_builder.MoveTo({20, 20});
+  path_builder.LineTo({30, 20});
+  // Starts a new contour with a MoveTo command. The start of the new contour is
+  // specified to be the same as the end of the previous contour.
+  path_builder.MoveTo({30, 20});
+  // Add a line in the second contour.
+  path_builder.LineTo({30, 30});
+  flutter::DlPath path = path_builder.TakePath();
+
+  auto points = ImpellerEntityUnitTestAccessor::GenerateSolidStrokeVertices(
+      path,
+      {
+          .width = 10.0f,
+          .cap = Cap::kButt,
+          .join = Join::kBevel,
+          .miter_limit = 4.0f,
+      },
+      1.0f);
+
+  std::vector<Point> expected = {
+      // The points for the first segment (20, 20) -> (30, 20)
+      Point(20, 25),
+      Point(20, 15),
+      Point(30, 25),
+      Point(30, 15),
+
+      // The glue points that allow us to "pick up the pen" between segments.
+      // This prevents segments in different contours from being unintentionally
+      // joined with a bevel.
+      Point(30, 20),
+      Point(30, 20),
+      Point(30, 20),
+      Point(30, 20),
+
+      // The points for the second segment (30, 20) -> (30, 30)
+      Point(25, 20),
+      Point(35, 20),
+      Point(25, 30),
+      Point(35, 30),
+  };
+
+  EXPECT_EQ(points, expected);
+}
+
 TEST(EntityGeometryTest, TwoLineSegmentsRightTurnStrokeVerticesMiterJoin) {
   flutter::DlPathBuilder path_builder;
   path_builder.MoveTo({20, 20});
diff --git a/engine/src/flutter/impeller/entity/geometry/stroke_path_geometry.cc b/engine/src/flutter/impeller/entity/geometry/stroke_path_geometry.cc
index 7d0f56282cb5d..ae00da7ca5768 100644
--- a/engine/src/flutter/impeller/entity/geometry/stroke_path_geometry.cc
+++ b/engine/src/flutter/impeller/entity/geometry/stroke_path_geometry.cc
@@ -155,7 +155,7 @@ class StrokePathSegmentReceiver : public PathAndArcSegmentReceiver {
  protected:
   // |SegmentReceiver|
   void BeginContour(Point origin, bool will_be_closed) override {
-    if (has_prior_contour_ && origin != last_point_) {
+    if (has_prior_contour_) {
       // We only append these extra points if we have had a prior contour.
       vtx_builder_.AppendVertex(last_point_);
       vtx_builder_.AppendVertex(last_point_);