diff --git a/CHANGELOG.md b/CHANGELOG.md
index 811a90b7d..7b0ad4d56 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -5,6 +5,7 @@ All notable changes to this project will be documented in this file.
 
 ## Unreleased
 
+* Add convinience `Infallible` operator for setting `SchedulerType`(`subscribe(on:)`, `observe(on:)`). #3340
 * Use `AtomicInt` for `BooleanDisposable`s to prevent potential rase condition. #2419
 * Renames 'OSX' to 'macOS' in Availability Check.
 * Renames 'OSXApplicationExtension' to 'macOSApplicationExtension' in Availability Check.
diff --git a/RxSwift/Traits/Infallible/Infallible.swift b/RxSwift/Traits/Infallible/Infallible.swift
index d5b5826a6..535c1ec3d 100644
--- a/RxSwift/Traits/Infallible/Infallible.swift
+++ b/RxSwift/Traits/Infallible/Infallible.swift
@@ -19,7 +19,7 @@ public protocol InfallibleType: ObservableConvertibleType {}
 /// Unlike `SharedSequence`, it does not share its resources or
 /// replay its events, but acts as a standard `Observable`.
 public struct Infallible<Element>: InfallibleType {
-    private let source: Observable<Element>
+    let source: Observable<Element>
 
     init(_ source: Observable<Element>) {
         self.source = source
@@ -100,3 +100,42 @@ extension InfallibleType {
         return self.asObservable().subscribe(eventHandler)
     }
 }
+
+
+extension Infallible {
+    /**
+    Wraps the source sequence in order to run its subscription and unsubscription logic on the specified
+    scheduler.
+    
+    This operation is not commonly used.
+    
+    This only performs the side-effects of subscription and unsubscription on the specified scheduler.
+    
+    In order to invoke observer callbacks on a `scheduler`, use `observeOn`.
+
+    - seealso: [subscribeOn operator on reactivex.io](http://reactivex.io/documentation/operators/subscribeon.html)
+    
+    - parameter scheduler: Scheduler to perform subscription and unsubscription actions on.
+    - returns: The source sequence whose subscriptions and unsubscriptions happen on the specified scheduler.
+    */
+    public func subscribe(on scheduler: ImmediateSchedulerType)
+        -> Infallible<Element> {
+          Infallible(self.source.subscribe(on: scheduler))
+    }
+    
+    /**
+     Wraps the source sequence in order to run its observer callbacks on the specified scheduler.
+
+     This only invokes observer callbacks on a `scheduler`. In case the subscription and/or unsubscription
+     actions have side-effects that require to be run on a scheduler, use `subscribeOn`.
+
+     - seealso: [observeOn operator on reactivex.io](http://reactivex.io/documentation/operators/observeon.html)
+
+     - parameter scheduler: Scheduler to notify observers on.
+     - returns: The source sequence whose observations happen on the specified scheduler.
+     */
+    public func observe(on scheduler: ImmediateSchedulerType)
+        -> Infallible<Element> {
+          Infallible(self.source.observe(on: scheduler))
+    }
+}
diff --git a/Tests/RxSwiftTests/Infallible+Tests.swift b/Tests/RxSwiftTests/Infallible+Tests.swift
index 69dcb86b4..4c8294a57 100644
--- a/Tests/RxSwiftTests/Infallible+Tests.swift
+++ b/Tests/RxSwiftTests/Infallible+Tests.swift
@@ -329,6 +329,32 @@ extension InfallibleTest {
         testObject = nil
         XCTAssertNil(testObject)
     }
+  
+    func test_observeOn() {
+        let scheduler = TestScheduler(initialClock: 0)
+
+        let res = scheduler.start {
+            Infallible.just(1).observe(on:scheduler)
+        }
+
+        XCTAssertEqual(res.events, [
+            .next(201, 1),
+            .completed(202)
+            ])
+    }
+
+    func test_subscribeOn() {
+        let scheduler = TestScheduler(initialClock: 0)
+
+        let res = scheduler.start {
+          Infallible.just(1).subscribe(on: scheduler)
+        }
+
+        XCTAssertEqual(res.events, [
+            .next(201, 1),
+            .completed(201)
+            ])
+    }
 }
 
 private class TestObject: NSObject {