diff --git a/Cargo.lock b/Cargo.lock
index db15cbe591996..622867dac2c0c 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -6255,7 +6255,6 @@ dependencies = [
 name = "sc-network-gossip"
 version = "0.8.0"
 dependencies = [
- "futures 0.1.29",
  "futures 0.3.4",
  "futures-timer 3.0.1",
  "libp2p",
diff --git a/client/finality-grandpa/src/communication/tests.rs b/client/finality-grandpa/src/communication/tests.rs
index 040ee4c7bbd22..5506512b531d1 100644
--- a/client/finality-grandpa/src/communication/tests.rs
+++ b/client/finality-grandpa/src/communication/tests.rs
@@ -44,20 +44,12 @@ pub(crate) struct TestNetwork {
 	sender: mpsc::UnboundedSender<Event>,
 }
 
-impl TestNetwork {
-	fn event_stream_03(&self) -> Pin<Box<dyn futures::Stream<Item = NetworkEvent> + Send>> {
+impl sc_network_gossip::Network<Block> for TestNetwork {
+	fn event_stream(&self) -> Pin<Box<dyn Stream<Item = NetworkEvent> + Send>> {
 		let (tx, rx) = mpsc::unbounded();
 		let _ = self.sender.unbounded_send(Event::EventStream(tx));
 		Box::pin(rx)
 	}
-}
-
-impl sc_network_gossip::Network<Block> for TestNetwork {
-	fn event_stream(&self) -> Box<dyn futures01::Stream<Item = NetworkEvent, Error = ()> + Send> {
-		Box::new(
-			self.event_stream_03().map(Ok::<_, ()>).compat()
-		)
-	}
 
 	fn report_peer(&self, who: sc_network::PeerId, cost_benefit: sc_network::ReputationChange) {
 		let _ = self.sender.unbounded_send(Event::Report(who, cost_benefit));
diff --git a/client/network-gossip/Cargo.toml b/client/network-gossip/Cargo.toml
index 98b2bd0590af9..8866db1f343db 100644
--- a/client/network-gossip/Cargo.toml
+++ b/client/network-gossip/Cargo.toml
@@ -7,13 +7,12 @@ authors = ["Parity Technologies <admin@parity.io>"]
 edition = "2018"
 
 [dependencies]
-log = "0.4.8"
-futures = { version = "0.3.1", features = ["compat"] }
-wasm-timer = "0.2"
+futures = "0.3.1"
 futures-timer = "3.0.1"
-futures01 = { package = "futures", version = "0.1.29" }
 libp2p = { version = "0.16.0", default-features = false, features = ["libp2p-websocket"] }
+log = "0.4.8"
 lru = "0.1.2"
 parking_lot = "0.10.0"
 sc-network = { version = "0.8", path = "../network" }
 sp-runtime = { version = "2.0.0", path = "../../primitives/runtime" }
+wasm-timer = "0.2"
diff --git a/client/network-gossip/src/bridge.rs b/client/network-gossip/src/bridge.rs
index 87958cbc14563..7968e59d0704e 100644
--- a/client/network-gossip/src/bridge.rs
+++ b/client/network-gossip/src/bridge.rs
@@ -20,8 +20,7 @@ use crate::state_machine::{ConsensusGossip, TopicNotification, PERIODIC_MAINTENA
 use sc_network::message::generic::ConsensusMessage;
 use sc_network::{Event, ReputationChange};
 
-use futures::{prelude::*, channel::mpsc, compat::Compat01As03};
-use futures01::stream::Stream as Stream01;
+use futures::{prelude::*, channel::mpsc};
 use libp2p::PeerId;
 use parking_lot::Mutex;
 use sp_runtime::{traits::Block as BlockT, ConsensusEngineId};
@@ -38,7 +37,7 @@ struct GossipEngineInner<B: BlockT> {
 	state_machine: ConsensusGossip<B>,
 	network: Box<dyn Network<B> + Send>,
 	periodic_maintenance_interval: futures_timer::Delay,
-	network_event_stream: Compat01As03<Box<dyn Stream01<Error = (), Item = Event> + Send>>,
+	network_event_stream: Pin<Box<dyn Stream<Item = Event> + Send>>,
 	engine_id: ConsensusEngineId,
 }
 
@@ -64,7 +63,7 @@ impl<B: BlockT> GossipEngine<B> {
 			state_machine,
 			network: Box::new(network),
 			periodic_maintenance_interval: futures_timer::Delay::new(PERIODIC_MAINTENANCE_INTERVAL),
-			network_event_stream: Compat01As03::new(network_event_stream),
+			network_event_stream,
 			engine_id,
 		}));
 
@@ -178,7 +177,7 @@ impl<B: BlockT> Future for GossipEngineInner<B> {
 	fn poll(mut self: Pin<&mut Self>, cx: &mut Context) -> Poll<Self::Output> {
 		let this = &mut *self;
 
-		while let Poll::Ready(Some(Ok(event))) = this.network_event_stream.poll_next_unpin(cx) {
+		while let Poll::Ready(Some(event)) = this.network_event_stream.poll_next_unpin(cx) {
 			match event {
 				Event::NotificationStreamOpened { remote, engine_id: msg_engine_id, roles } => {
 					if msg_engine_id != this.engine_id {
diff --git a/client/network-gossip/src/lib.rs b/client/network-gossip/src/lib.rs
index 705a27210ac53..c4f057a775f47 100644
--- a/client/network-gossip/src/lib.rs
+++ b/client/network-gossip/src/lib.rs
@@ -61,7 +61,7 @@ pub use self::validator::{DiscardAll, MessageIntent, Validator, ValidatorContext
 use futures::prelude::*;
 use sc_network::{specialization::NetworkSpecialization, Event, ExHashT, NetworkService, PeerId, ReputationChange};
 use sp_runtime::{traits::Block as BlockT, ConsensusEngineId};
-use std::sync::Arc;
+use std::{pin::Pin, sync::Arc};
 
 mod bridge;
 mod state_machine;
@@ -70,7 +70,7 @@ mod validator;
 /// Abstraction over a network.
 pub trait Network<B: BlockT> {
 	/// Returns a stream of events representing what happens on the network.
-	fn event_stream(&self) -> Box<dyn futures01::Stream<Item = Event, Error = ()> + Send>;
+	fn event_stream(&self) -> Pin<Box<dyn Stream<Item = Event> + Send>>;
 
 	/// Adjust the reputation of a node.
 	fn report_peer(&self, peer_id: PeerId, reputation: ReputationChange);
@@ -97,8 +97,8 @@ pub trait Network<B: BlockT> {
 }
 
 impl<B: BlockT, S: NetworkSpecialization<B>, H: ExHashT> Network<B> for Arc<NetworkService<B, S, H>> {
-	fn event_stream(&self) -> Box<dyn futures01::Stream<Item = Event, Error = ()> + Send> {
-		Box::new(NetworkService::event_stream(self).map(|v| Ok::<_, ()>(v)).compat())
+	fn event_stream(&self) -> Pin<Box<dyn Stream<Item = Event> + Send>> {
+		Box::pin(NetworkService::event_stream(self))
 	}
 
 	fn report_peer(&self, peer_id: PeerId, reputation: ReputationChange) {