diff --git a/src/controllers/controller.line.js b/src/controllers/controller.line.js
index 9d9206d5cb2..7aacf2d23e2 100644
--- a/src/controllers/controller.line.js
+++ b/src/controllers/controller.line.js
@@ -283,15 +283,23 @@ module.exports = function(Chart) {
 			var points = meta.data || [];
 			var area = chart.chartArea;
 			var ilen = points.length;
+			var halfBorderWidth;
 			var i = 0;
 
-			helpers.canvas.clipArea(chart.ctx, area);
-
 			if (lineEnabled(me.getDataset(), chart.options)) {
+				halfBorderWidth = (meta.dataset._model.borderWidth || 0) / 2;
+
+				helpers.canvas.clipArea(chart.ctx, {
+					left: area.left,
+					right: area.right,
+					top: area.top - halfBorderWidth,
+					bottom: area.bottom + halfBorderWidth
+				});
+
 				meta.dataset.draw();
-			}
 
-			helpers.canvas.unclipArea(chart.ctx);
+				helpers.canvas.unclipArea(chart.ctx);
+			}
 
 			// Draw the points
 			for (; i < ilen; ++i) {