diff --git a/packages/reactivity/__tests__/readonly.spec.ts b/packages/reactivity/__tests__/readonly.spec.ts
index af42c967fb3..f95317c599e 100644
--- a/packages/reactivity/__tests__/readonly.spec.ts
+++ b/packages/reactivity/__tests__/readonly.spec.ts
@@ -354,6 +354,42 @@ describe('reactivity/readonly', () => {
     expect(dummy).toBe(2)
   })
 
+  test('readonly collection should not track', () => {
+    const map = new Map()
+    map.set('foo', 1)
+
+    const reMap = reactive(map)
+    const roMap = readonly(map)
+
+    let dummy
+    effect(() => {
+      dummy = roMap.get('foo')
+    })
+    expect(dummy).toBe(1)
+    reMap.set('foo', 2)
+    expect(roMap.get('foo')).toBe(2)
+    // should not trigger
+    expect(dummy).toBe(1)
+  })
+
+  test('readonly should track and trigger if wrapping reactive original (collection)', () => {
+    const a = reactive(new Map())
+    const b = readonly(a)
+    // should return true since it's wrapping a reactive source
+    expect(isReactive(b)).toBe(true)
+
+    a.set('foo', 1)
+
+    let dummy
+    effect(() => {
+      dummy = b.get('foo')
+    })
+    expect(dummy).toBe(1)
+    a.set('foo', 2)
+    expect(b.get('foo')).toBe(2)
+    expect(dummy).toBe(2)
+  })
+
   test('wrapping already wrapped value should return same Proxy', () => {
     const original = { foo: 1 }
     const wrapped = readonly(original)
diff --git a/packages/reactivity/src/collectionHandlers.ts b/packages/reactivity/src/collectionHandlers.ts
index 0aa93d0646a..126c94460d1 100644
--- a/packages/reactivity/src/collectionHandlers.ts
+++ b/packages/reactivity/src/collectionHandlers.ts
@@ -30,7 +30,8 @@ const getProto = <T extends CollectionTypes>(v: T): any =>
 function get(
   target: MapTypes,
   key: unknown,
-  wrap: typeof toReactive | typeof toReadonly | typeof toShallow
+  isReadonly = false,
+  isShallow = false
 ) {
   // #1772: readonly(reactive(Map)) should return readonly + reactive version
   // of the value
@@ -38,10 +39,11 @@ function get(
   const rawTarget = toRaw(target)
   const rawKey = toRaw(key)
   if (key !== rawKey) {
-    track(rawTarget, TrackOpTypes.GET, key)
+    !isReadonly && track(rawTarget, TrackOpTypes.GET, key)
   }
-  track(rawTarget, TrackOpTypes.GET, rawKey)
+  !isReadonly && track(rawTarget, TrackOpTypes.GET, rawKey)
   const { has } = getProto(rawTarget)
+  const wrap = isReadonly ? toReadonly : isShallow ? toShallow : toReactive
   if (has.call(rawTarget, key)) {
     return wrap(target.get(key))
   } else if (has.call(rawTarget, rawKey)) {
@@ -49,21 +51,21 @@ function get(
   }
 }
 
-function has(this: CollectionTypes, key: unknown): boolean {
-  const target = toRaw(this)
+function has(this: CollectionTypes, key: unknown, isReadonly = false): boolean {
+  const target = (this as any)[ReactiveFlags.RAW]
+  const rawTarget = toRaw(target)
   const rawKey = toRaw(key)
   if (key !== rawKey) {
-    track(target, TrackOpTypes.HAS, key)
+    !isReadonly && track(rawTarget, TrackOpTypes.HAS, key)
   }
-  track(target, TrackOpTypes.HAS, rawKey)
-  const has = getProto(target).has
-  return has.call(target, key) || has.call(target, rawKey)
+  !isReadonly && track(rawTarget, TrackOpTypes.HAS, rawKey)
+  return target.has(key) || target.has(rawKey)
 }
 
-function size(target: IterableCollections) {
-  target = toRaw(target)
-  track(target, TrackOpTypes.ITERATE, ITERATE_KEY)
-  return Reflect.get(getProto(target), 'size', target)
+function size(target: IterableCollections, isReadonly = false) {
+  target = (target as any)[ReactiveFlags.RAW]
+  !isReadonly && track(toRaw(target), TrackOpTypes.ITERATE, ITERATE_KEY)
+  return Reflect.get(target, 'size', target)
 }
 
 function add(this: SetTypes, value: unknown) {
@@ -137,7 +139,7 @@ function clear(this: IterableCollections) {
   return result
 }
 
-function createForEach(isReadonly: boolean, shallow: boolean) {
+function createForEach(isReadonly: boolean, isShallow: boolean) {
   return function forEach(
     this: IterableCollections,
     callback: Function,
@@ -145,7 +147,7 @@ function createForEach(isReadonly: boolean, shallow: boolean) {
   ) {
     const observed = this
     const target = toRaw(observed)
-    const wrap = isReadonly ? toReadonly : shallow ? toShallow : toReactive
+    const wrap = isReadonly ? toReadonly : isShallow ? toShallow : toReactive
     !isReadonly && track(target, TrackOpTypes.ITERATE, ITERATE_KEY)
     // important: create sure the callback is
     // 1. invoked with the reactive map as `this` and 3rd arg
@@ -173,19 +175,19 @@ interface IterationResult {
 function createIterableMethod(
   method: string | symbol,
   isReadonly: boolean,
-  shallow: boolean
+  isShallow: boolean
 ) {
   return function(
     this: IterableCollections,
     ...args: unknown[]
   ): Iterable & Iterator {
     const target = (this as any)[ReactiveFlags.RAW]
-    const rawTarget = toRaw(this)
+    const rawTarget = toRaw(target)
     const isMap = rawTarget instanceof Map
     const isPair = method === 'entries' || (method === Symbol.iterator && isMap)
     const isKeyOnly = method === 'keys' && isMap
     const innerIterator = target[method](...args)
-    const wrap = isReadonly ? toReadonly : shallow ? toShallow : toReactive
+    const wrap = isReadonly ? toReadonly : isShallow ? toShallow : toReactive
     !isReadonly &&
       track(
         rawTarget,
@@ -228,7 +230,7 @@ function createReadonlyMethod(type: TriggerOpTypes): Function {
 
 const mutableInstrumentations: Record<string, Function> = {
   get(this: MapTypes, key: unknown) {
-    return get(this, key, toReactive)
+    return get(this, key)
   },
   get size() {
     return size((this as unknown) as IterableCollections)
@@ -243,7 +245,7 @@ const mutableInstrumentations: Record<string, Function> = {
 
 const shallowInstrumentations: Record<string, Function> = {
   get(this: MapTypes, key: unknown) {
-    return get(this, key, toShallow)
+    return get(this, key, false, true)
   },
   get size() {
     return size((this as unknown) as IterableCollections)
@@ -258,12 +260,14 @@ const shallowInstrumentations: Record<string, Function> = {
 
 const readonlyInstrumentations: Record<string, Function> = {
   get(this: MapTypes, key: unknown) {
-    return get(this, key, toReadonly)
+    return get(this, key, true)
   },
   get size() {
-    return size((this as unknown) as IterableCollections)
+    return size((this as unknown) as IterableCollections, true)
+  },
+  has(this: MapTypes, key: unknown) {
+    return has.call(this, key, true)
   },
-  has,
   add: createReadonlyMethod(TriggerOpTypes.ADD),
   set: createReadonlyMethod(TriggerOpTypes.SET),
   delete: createReadonlyMethod(TriggerOpTypes.DELETE),