diff --git a/src/features/PesterTests.ts b/src/features/PesterTests.ts
index 75bb17698b..34c3a5cc57 100644
--- a/src/features/PesterTests.ts
+++ b/src/features/PesterTests.ts
@@ -72,6 +72,10 @@ export class PesterTestsFeature implements IFeature {
 
         if (describeBlockName) {
             launchConfig.args.push("-TestName");
+            // Escape single quotes inside double quotes by doubling them up
+            if (describeBlockName.includes("'")) {
+                describeBlockName = describeBlockName.replace(/'/g, "''");
+            }
             launchConfig.args.push(`'${describeBlockName}'`);
         }