diff --git a/README.md b/README.md
index f466a7f..8ad0b93 100644
--- a/README.md
+++ b/README.md
@@ -52,6 +52,7 @@ myChart
 | <b>xTickFormat</b>([<i>function</i>]) | X axis tick label formatter function, as pass-through to [d3-axis](https://github.com/d3/d3-axis#axis_tickFormat). By default, it uses a [multi-scale time format](https://bl.ocks.org/mbostock/4149176). | |
 | <b>dateMarker</b>([<i>date object</i>]) | Getter/setter for the date marker to show as a vertical line. If a falsy value is used, no marker is shown. | `null` |
 | <b>minSegmentDuration</b>([<i>number</i>]) | Getter/setter for the minimum time duration (in msecs) of a segment in order for it to be shown. | 0 |
+| <b>minSegmentWidth</b>([<i>number</i>]) | Getter/setter for the minimum displayed px width of a segment. | 1 |
 | <b>getNLines</b>() | Returns number of timelines currently visible in the chart. | - |
 | <b>getTotalNLines</b>() | Returns total number of timelines in the chart. | - |
 | <b>zQualitative</b>([<i>boolean</i>]) | Getter/setter for whether the segment data color values are categorical (true) or quantitative (false). This will affect how the color legend is presented, and changing it will automatically toggle the `zColorScale` between defaults. | false |
diff --git a/src/index.d.ts b/src/index.d.ts
index 410489f..656a9a2 100644
--- a/src/index.d.ts
+++ b/src/index.d.ts
@@ -60,6 +60,8 @@ export interface TimelinesChartGenericInstance<ChainableInstance> {
   dateMarker(date: TS | null | boolean): ChainableInstance;
   minSegmentDuration(): number;
   minSegmentDuration(duration: number): ChainableInstance;
+  minSegmentWidth(): number;
+  minSegmentWidth(width: number): ChainableInstance;
 
   getNLines(): number;
   getTotalNLines(): number;
diff --git a/src/timelines.js b/src/timelines.js
index 32765cf..5474197 100644
--- a/src/timelines.js
+++ b/src/timelines.js
@@ -127,6 +127,7 @@ export default Kapsule({
       }
     },
     minSegmentDuration: {},
+    minSegmentWidth: { default: 1 },
     zColorScale: { default: d3ScaleSequential(interpolateRdYlBu) },
     zQualitative: { default: false, onChange(discrete, state) {
       state.zColorScale = discrete
@@ -1003,7 +1004,7 @@ export default Kapsule({
               return state.xScale(d.timeRange[0])-hoverEnlarge/2;
             })
             .attr('width', function (d) {
-              return d3Max([1, state.xScale(d.timeRange[1])-state.xScale(d.timeRange[0])])+hoverEnlarge;
+              return d3Max([state.minSegmentWidth, state.xScale(d.timeRange[1])-state.xScale(d.timeRange[0])])+hoverEnlarge;
             })
             .attr('y', function (d) {
               return state.yScale(d.group+'+&+'+d.label)-(state.lineHeight+hoverEnlarge)/2;
@@ -1018,7 +1019,7 @@ export default Kapsule({
               return state.xScale(d.timeRange[0]);
             })
             .attr('width', function (d) {
-              return d3Max([1, state.xScale(d.timeRange[1])-state.xScale(d.timeRange[0])]);
+              return d3Max([state.minSegmentWidth, state.xScale(d.timeRange[1])-state.xScale(d.timeRange[0])]);
             })
             .attr('y', function (d) {
               return state.yScale(d.group+'+&+'+d.label)-state.lineHeight/2;
@@ -1038,7 +1039,7 @@ export default Kapsule({
           return state.xScale(d.timeRange[0]);
         })
         .attr('width', function (d) {
-          return d3Max([1, state.xScale(d.timeRange[1])-state.xScale(d.timeRange[0])]);
+          return d3Max([state.minSegmentWidth, state.xScale(d.timeRange[1])-state.xScale(d.timeRange[0])]);
         })
         .attr('y', function (d) {
           return state.yScale(d.group+'+&+'+d.label)-state.lineHeight/2;