diff --git a/.changeset/curvy-dingos-sort.md b/.changeset/curvy-dingos-sort.md
new file mode 100644
index 00000000000..6e26fce0827
--- /dev/null
+++ b/.changeset/curvy-dingos-sort.md
@@ -0,0 +1,5 @@
+---
+"fast-check": minor
+---
+
+⚡️ Faster `canShrinkWithoutContext` for constants
diff --git a/packages/fast-check/src/arbitrary/_internals/ConstantArbitrary.ts b/packages/fast-check/src/arbitrary/_internals/ConstantArbitrary.ts
index 2c4fb93f39d..8b33b3cb11a 100644
--- a/packages/fast-check/src/arbitrary/_internals/ConstantArbitrary.ts
+++ b/packages/fast-check/src/arbitrary/_internals/ConstantArbitrary.ts
@@ -3,11 +3,14 @@ import { Stream } from '../../stream/Stream';
 import { Arbitrary } from '../../check/arbitrary/definition/Arbitrary';
 import { Value } from '../../check/arbitrary/definition/Value';
 import { cloneMethod, hasCloneMethod } from '../../check/symbols';
+import { Set, safeHas } from '../../utils/globals';
 
 const safeObjectIs = Object.is;
 
 /** @internal */
 export class ConstantArbitrary<T> extends Arbitrary<T> {
+  private fastValues: FastConstantValuesLookup<T> | undefined;
+
   constructor(readonly values: T[]) {
     super();
   }
@@ -20,12 +23,13 @@ export class ConstantArbitrary<T> extends Arbitrary<T> {
     return new Value(value, idx, () => value[cloneMethod]());
   }
   canShrinkWithoutContext(value: unknown): value is T {
-    for (let idx = 0; idx !== this.values.length; ++idx) {
-      if (safeObjectIs(this.values[idx], value)) {
-        return true;
-      }
+    if (this.values.length === 1) {
+      return safeObjectIs(this.values[0], value);
     }
-    return false;
+    if (this.fastValues === undefined) {
+      this.fastValues = new FastConstantValuesLookup(this.values);
+    }
+    return this.fastValues.has(value);
   }
   shrink(value: T, context?: unknown): Stream<Value<T>> {
     if (context === 0 || safeObjectIs(value, this.values[0])) {
@@ -34,3 +38,36 @@ export class ConstantArbitrary<T> extends Arbitrary<T> {
     return Stream.of(new Value(this.values[0], 0));
   }
 }
+
+/** @internal */
+class FastConstantValuesLookup<T> {
+  private readonly hasMinusZero: boolean;
+  private readonly hasPlusZero: boolean;
+  private readonly fastValues: Set<unknown>;
+
+  constructor(readonly values: T[]) {
+    this.fastValues = new Set(this.values);
+
+    let hasMinusZero = false;
+    let hasPlusZero = false;
+    if (safeHas(this.fastValues, 0)) {
+      for (let idx = 0; idx !== this.values.length; ++idx) {
+        const value = this.values[idx];
+        hasMinusZero = hasMinusZero || safeObjectIs(value, -0);
+        hasPlusZero = hasPlusZero || safeObjectIs(value, 0);
+      }
+    }
+    this.hasMinusZero = hasMinusZero;
+    this.hasPlusZero = hasPlusZero;
+  }
+
+  has(value: unknown): value is T {
+    if (value === 0) {
+      if (safeObjectIs(value, 0)) {
+        return this.hasPlusZero;
+      }
+      return this.hasMinusZero;
+    }
+    return safeHas(this.fastValues, value);
+  }
+}
diff --git a/packages/fast-check/src/utils/globals.ts b/packages/fast-check/src/utils/globals.ts
index 5769b532c80..2351639532e 100644
--- a/packages/fast-check/src/utils/globals.ts
+++ b/packages/fast-check/src/utils/globals.ts
@@ -268,6 +268,7 @@ export function safeToISOString(instance: Date): string {
 // Set
 
 const untouchedAdd = Set.prototype.add;
+const untouchedHas = Set.prototype.has;
 function extractAdd(instance: Set<unknown>) {
   try {
     return instance.add;
@@ -275,12 +276,25 @@ function extractAdd(instance: Set<unknown>) {
     return undefined;
   }
 }
+function extractHas(instance: Set<unknown>) {
+  try {
+    return instance.has;
+  } catch (err) {
+    return undefined;
+  }
+}
 export function safeAdd<T>(instance: Set<T>, value: T): Set<T> {
   if (extractAdd(instance) === untouchedAdd) {
     return instance.add(value);
   }
   return safeApply(untouchedAdd, instance, [value]);
 }
+export function safeHas<T>(instance: Set<T>, value: T): boolean {
+  if (extractHas(instance) === untouchedHas) {
+    return instance.has(value);
+  }
+  return safeApply(untouchedHas, instance, [value]);
+}
 
 // String
 
diff --git a/packages/fast-check/test/unit/arbitrary/_internals/ConstantArbitrary.spec.ts b/packages/fast-check/test/unit/arbitrary/_internals/ConstantArbitrary.spec.ts
index 63a46ce2dcc..dfff921bf58 100644
--- a/packages/fast-check/test/unit/arbitrary/_internals/ConstantArbitrary.spec.ts
+++ b/packages/fast-check/test/unit/arbitrary/_internals/ConstantArbitrary.spec.ts
@@ -113,7 +113,7 @@ describe('ConstantArbitrary', () => {
   });
 
   describe('canShrinkWithoutContext', () => {
-    it("should mark value as 'canShrinkWithoutContext' whenever one of the original values is equal regarding Object.is", () =>
+    it("should mark value as 'canShrinkWithoutContext' whenever one of the original values is equal regarding Object.is", () => {
       fc.assert(
         fc.property(fc.array(fc.anything(), { minLength: 1 }), fc.nat(), (values, mod) => {
           // Arrange
@@ -126,7 +126,24 @@ describe('ConstantArbitrary', () => {
           // Assert
           expect(out).toBe(true);
         }),
-      ));
+      );
+    });
+
+    it("should not mark value as 'canShrinkWithoutContext' if none of the original values is equal regarding Object.is", () => {
+      fc.assert(
+        fc.property(fc.uniqueArray(fc.anything(), { minLength: 2, comparator: 'SameValue' }), (values) => {
+          // Arrange
+          const [selectedValue, ...acceptedValues] = values;
+
+          // Act
+          const arb = new ConstantArbitrary(acceptedValues);
+          const out = arb.canShrinkWithoutContext(selectedValue); // selectedValue is unique for SameValue comparison (Object.is)
+
+          // Assert
+          expect(out).toBe(false);
+        }),
+      );
+    });
 
     it('should not detect values not equal regarding to Object.is', () => {
       // Arrange
@@ -141,33 +158,43 @@ describe('ConstantArbitrary', () => {
       expect(out).toBe(false); // Object.is([], []) is falsy
     });
 
-    it.each([{ source: -0 }, { source: 0 }, { source: 48 }])(
-      'should not accept to shrink -$source if built with $source',
-      ({ source }) => {
-        // Arrange
-        const arb = new ConstantArbitrary([source]);
-
-        // Act
-        const out = arb.canShrinkWithoutContext(-source);
-
-        // Assert
-        expect(out).toBe(false);
-      },
-    );
-
-    it.each([{ source: -0 }, { source: 0 }, { source: 48 }, { source: Number.NaN }])(
-      'should accept to shrink $source if built with $source',
-      ({ source }) => {
-        // Arrange
-        const arb = new ConstantArbitrary([source]);
-
-        // Act
-        const out = arb.canShrinkWithoutContext(source);
-
-        // Assert
-        expect(out).toBe(true);
-      },
-    );
+    it.each([
+      { source: -0, count: 1 },
+      { source: 0, count: 1 },
+      { source: 48, count: 1 },
+      { source: -0, count: 25 },
+      { source: 0, count: 25 },
+      { source: 48, count: 25 },
+    ])('should not accept to shrink -$source if built with $source (count: $count)', ({ source, count }) => {
+      // Arrange
+      const arb = new ConstantArbitrary(Array(count).fill(source));
+
+      // Act
+      const out = arb.canShrinkWithoutContext(-source);
+
+      // Assert
+      expect(out).toBe(false);
+    });
+
+    it.each([
+      { source: -0, count: 1 },
+      { source: 0, count: 1 },
+      { source: 48, count: 1 },
+      { source: Number.NaN, count: 1 },
+      { source: -0, count: 25 },
+      { source: 0, count: 25 },
+      { source: 48, count: 25 },
+      { source: Number.NaN, count: 25 },
+    ])('should accept to shrink $source if built with $source (count: $count)', ({ source, count }) => {
+      // Arrange
+      const arb = new ConstantArbitrary(Array(count).fill(source));
+
+      // Act
+      const out = arb.canShrinkWithoutContext(source);
+
+      // Assert
+      expect(out).toBe(true);
+    });
   });
 
   describe('shrink', () => {