diff --git a/packages/aws-cdk-lib/aws-applicationautoscaling/lib/schedule.ts b/packages/aws-cdk-lib/aws-applicationautoscaling/lib/schedule.ts
index 3954b0a81efaf..cfa078e2804ca 100644
--- a/packages/aws-cdk-lib/aws-applicationautoscaling/lib/schedule.ts
+++ b/packages/aws-cdk-lib/aws-applicationautoscaling/lib/schedule.ts
@@ -17,7 +17,7 @@ export abstract class Schedule extends CoreSchedule {
    * Construct a schedule from an interval and a time unit. Must be a whole number of seconds.
    */
   public static rate(duration: Duration): Schedule {
-    return super.protectedRate(duration);
+    return new LiteralSchedule(super.protectedRate(duration));
   }
 
   /**
@@ -45,3 +45,14 @@ export abstract class Schedule extends CoreSchedule {
  * @deprecated use core.CronOptions instead
  */
 export interface CronOptions extends CoreCronOptions {}
+
+class LiteralSchedule extends Schedule {
+  constructor(
+    public readonly expressionString: string,
+    public readonly timeZone?: TimeZone,
+  ) {
+    super();
+  }
+
+  public _bind() {}
+}
diff --git a/packages/aws-cdk-lib/aws-events/lib/schedule.ts b/packages/aws-cdk-lib/aws-events/lib/schedule.ts
index d4d6549e8b611..bd4b306095b2a 100644
--- a/packages/aws-cdk-lib/aws-events/lib/schedule.ts
+++ b/packages/aws-cdk-lib/aws-events/lib/schedule.ts
@@ -1,4 +1,4 @@
-import { Duration, Schedule as CoreSchedule } from '../../core';
+import { Duration, Schedule as CoreSchedule, TimeZone } from '../../core';
 
 /**
  * Schedule for scheduled event rules
@@ -23,7 +23,7 @@ export abstract class Schedule extends CoreSchedule {
    * Rates may be defined with any unit of time, but when converted into minutes, the duration must be a positive whole number of minutes.
    */
   public static rate(duration: Duration): Schedule {
-    return super.protectedRate(duration);
+    return new LiteralSchedule(super.protectedRate(duration));
   }
 
   /**
@@ -34,6 +34,17 @@ export abstract class Schedule extends CoreSchedule {
   }
 }
 
+class LiteralSchedule extends Schedule {
+  constructor(
+    public readonly expressionString: string,
+    public readonly timeZone?: TimeZone,
+  ) {
+    super();
+  }
+
+  public _bind() {}
+}
+
 /**
  * Options to configure a cron expression
  *
diff --git a/packages/aws-cdk-lib/core/lib/schedule.ts b/packages/aws-cdk-lib/core/lib/schedule.ts
index 4c30eb3a86a96..483e7f374a61d 100644
--- a/packages/aws-cdk-lib/core/lib/schedule.ts
+++ b/packages/aws-cdk-lib/core/lib/schedule.ts
@@ -44,13 +44,13 @@ export abstract class Schedule {
    *
    * Rates may be defined with any unit of time, but when converted into minutes, the duration must be a positive whole number of minutes.
    */
-  protected static protectedRate(duration: Duration): Schedule {
+  protected static protectedRate(duration: Duration): string {
     if (duration.isUnresolved()) {
       const validDurationUnit = ['minute', 'minutes', 'hour', 'hours', 'day', 'days'];
       if (validDurationUnit.indexOf(duration.unitLabel()) === -1) {
         throw new Error("Allowed units for scheduling are: 'minute', 'minutes', 'hour', 'hours', 'day', 'days'");
       }
-      return new LiteralSchedule(`rate(${duration.formatTokenToNumber()})`);
+      return `rate(${duration.formatTokenToNumber()})`;
     }
     if (duration.toMinutes() === 0) {
       throw new Error('Duration cannot be 0');
@@ -59,7 +59,7 @@ export abstract class Schedule {
     let rate = maybeRate(duration.toDays({ integral: false }), 'day');
     if (rate === undefined) { rate = maybeRate(duration.toHours({ integral: false }), 'hour'); }
     if (rate === undefined) { rate = makeRate(duration.toMinutes({ integral: true }), 'minute'); }
-    return new LiteralSchedule(rate);
+    return rate;
   }
 
   /**