diff --git a/MobiusCore/Source/Connectable.swift b/MobiusCore/Source/Connectable.swift
index 7c0c7e19..fc50f1bf 100644
--- a/MobiusCore/Source/Connectable.swift
+++ b/MobiusCore/Source/Connectable.swift
@@ -26,7 +26,7 @@ import Foundation
 ///
 /// Alternatively used in `MobiusController.connectView(_:)` to connect a view to the controller. In that case, the
 /// incoming values will be models, and the outgoing values will be events.
-public protocol Connectable {
+public protocol Connectable: _EffectHandlerConvertible {
     associatedtype Input
     associatedtype Output
 
@@ -44,6 +44,12 @@ public protocol Connectable {
     func connect(_ consumer: @escaping Consumer<Output>) -> Connection<Input>
 }
 
+public extension Connectable {
+    func _asEffectHandlerConnectable() -> AnyConnectable<Input, Output> {
+        return AnyConnectable(self)
+    }
+}
+
 /// Type-erased wrapper for `Connectable`s
 public final class AnyConnectable<Input, Output>: Connectable {
     private let connectClosure: (@escaping Consumer<Output>) -> Connection<Input>
diff --git a/MobiusCore/Source/EffectHandlers/EffectRouter.swift b/MobiusCore/Source/EffectHandlers/EffectRouter.swift
index 38902d66..97adc204 100644
--- a/MobiusCore/Source/EffectHandlers/EffectRouter.swift
+++ b/MobiusCore/Source/EffectHandlers/EffectRouter.swift
@@ -72,6 +72,12 @@ public struct EffectRouter<Effect, Event> {
     }
 }
 
+extension EffectRouter: _EffectHandlerConvertible {
+    public func _asEffectHandlerConnectable() -> AnyConnectable<Effect, Event> {
+        return compose(routes: routes)
+    }
+}
+
 public struct _PartialEffectRouter<Effect, Payload, Event> {
     fileprivate let routes: [Route<Effect, Event>]
     fileprivate let path: (Effect) -> Payload?
diff --git a/MobiusCore/Source/Mobius.swift b/MobiusCore/Source/Mobius.swift
index 92bab342..b7a8c188 100644
--- a/MobiusCore/Source/Mobius.swift
+++ b/MobiusCore/Source/Mobius.swift
@@ -72,15 +72,16 @@ public extension Mobius {
     ///
     /// - Parameters:
     ///   - update: the `Update` function of the loop
-    ///   - effectHandler: an instance conforming to `Connectable`. Will be used to handle effects by the loop.
+    ///   - effectHandler: the entity that will be used by the loop to handle effects. May be an `EffectRouter`, or any
+    ///     instance conforming to `Connectable` with `Effect` as input and `Event` as output.
     /// - Returns: a `Builder` instance that you can further configure before starting the loop
-    static func loop<Model, Event, Effect, EffectHandler: Connectable>(
+    static func loop<Model, Event, Effect, EffectHandler: _EffectHandlerConvertible>(
         update: Update<Model, Event, Effect>,
         effectHandler: EffectHandler
-    ) -> Builder<Model, Event, Effect> where EffectHandler.Input == Effect, EffectHandler.Output == Event {
+    ) -> Builder<Model, Event, Effect> where EffectHandler._EHEffect == Effect, EffectHandler._EHEvent == Event {
         return Builder(
             update: update,
-            effectHandler: effectHandler,
+            effectHandler: effectHandler._asEffectHandlerConnectable(),
             initiate: nil,
             eventSource: AnyEventSource({ _ in AnonymousDisposable(disposer: {}) }),
             eventConsumerTransformer: { $0 },
@@ -92,12 +93,13 @@ public extension Mobius {
     ///
     /// - Parameters:
     ///   - update: the update function of the loop
-    ///   - effectHandler: an instance conforming to `Connectable`. Will be used to handle effects by the loop.
+    ///   - effectHandler: the entity that will be used by the loop to handle effects. May be an `EffectRouter`, or any
+    ///     instance conforming to `Connectable` with `Effect` as input and `Event` as output.
     /// - Returns: a `Builder` instance that you can further configure before starting the loop
-    static func loop<Model, Event, Effect, EffectHandler: Connectable>(
+    static func loop<Model, Event, Effect, EffectHandler: _EffectHandlerConvertible>(
         update: @escaping (Model, Event) -> Next<Model, Effect>,
         effectHandler: EffectHandler
-    ) -> Builder<Model, Event, Effect> where EffectHandler.Input == Effect, EffectHandler.Output == Event {
+    ) -> Builder<Model, Event, Effect> where EffectHandler._EHEffect == Effect, EffectHandler._EHEvent == Event {
         return self.loop(
             update: Update(update),
             effectHandler: effectHandler
@@ -117,16 +119,16 @@ public extension Mobius {
         private let logger: AnyMobiusLogger<Model, Event, Effect>
         private let eventConsumerTransformer: ConsumerTransformer<Event>
 
-        fileprivate init<EffectHandler: Connectable>(
+        fileprivate init(
             update: Update<Model, Event, Effect>,
-            effectHandler: EffectHandler,
+            effectHandler: AnyConnectable<Effect, Event>,
             initiate: Initiate<Model, Effect>?,
             eventSource: AnyEventSource<Event>,
             eventConsumerTransformer: @escaping ConsumerTransformer<Event>,
             logger: AnyMobiusLogger<Model, Event, Effect>
-        ) where EffectHandler.Input == Effect, EffectHandler.Output == Event {
+        ) {
             self.update = update
-            self.effectHandler = AnyConnectable(effectHandler)
+            self.effectHandler = effectHandler
             self.initiate = initiate
             self.eventSource = eventSource
             self.logger = logger
@@ -279,3 +281,13 @@ public extension Mobius {
         }
     }
 }
+
+/// Implementation detail, do not use.
+///
+/// This protocol is used for parameters that may be either an `EffectRouter` or a `Connectable`.
+public protocol _EffectHandlerConvertible {
+    associatedtype _EHEffect
+    associatedtype _EHEvent
+
+    func _asEffectHandlerConnectable() -> AnyConnectable<_EHEffect, _EHEvent>
+}
diff --git a/MobiusCore/Test/MobiusLoopTests.swift b/MobiusCore/Test/MobiusLoopTests.swift
index 1a9121ed..75470c31 100644
--- a/MobiusCore/Test/MobiusLoopTests.swift
+++ b/MobiusCore/Test/MobiusLoopTests.swift
@@ -290,7 +290,6 @@ class MobiusLoopTests: QuickSpec {
                 let payload: (Int) -> Int? = { $0 }
                 let effectConnectable = EffectRouter<Int, Int>()
                     .routeEffects(withPayload: payload).to(effectHandler)
-                    .asConnectable
                 let update = Update { (_: Int, _: Int) -> Next<Int, Int> in Next.dispatchEffects([1]) }
                 loop = Mobius
                     .loop(update: update, effectHandler: effectConnectable)
diff --git a/MobiusCore/Test/NonReentrancyTests.swift b/MobiusCore/Test/NonReentrancyTests.swift
index 73dd3484..16c9e3e7 100644
--- a/MobiusCore/Test/NonReentrancyTests.swift
+++ b/MobiusCore/Test/NonReentrancyTests.swift
@@ -75,11 +75,10 @@ class NonReentrancyTests: QuickSpec {
                     return AnonymousDisposable {}
                 }
 
-                let effectConnectable = EffectRouter<Effect, Event>()
+                let effectRouter = EffectRouter<Effect, Event>()
                     .routeEffects(equalTo: .testEffect).to(testEffectHandler)
-                    .asConnectable
 
-                loop = Mobius.loop(update: update, effectHandler: effectConnectable)
+                loop = Mobius.loop(update: update, effectHandler: effectRouter)
                     .start(from: 0)
             }