diff --git a/Cargo.lock b/Cargo.lock
index c9ea14807af..67c1ba524ad 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -3189,7 +3189,6 @@ dependencies = [
  "futures",
  "futures-bounded",
  "futures-timer",
- "instant",
  "libp2p-core",
  "libp2p-identity",
  "libp2p-ping",
@@ -3206,6 +3205,7 @@ dependencies = [
  "tracing",
  "tracing-subscriber",
  "void",
+ "web-time",
 ]
 
 [[package]]
diff --git a/protocols/relay/CHANGELOG.md b/protocols/relay/CHANGELOG.md
index b88dd7784f2..83dbf4739ac 100644
--- a/protocols/relay/CHANGELOG.md
+++ b/protocols/relay/CHANGELOG.md
@@ -2,6 +2,8 @@
 
 - Fix support for unlimited relay connection according to spec.
   See [PR 5244](https://github.com/libp2p/rust-libp2p/pull/5244).
+- use `web_time` `Instant` and `SystemTime` versions for wasm support.
+  See [PR 5328](https://github.com/libp2p/rust-libp2p/pull/5328).
 
 ## 0.17.1
 
diff --git a/protocols/relay/Cargo.toml b/protocols/relay/Cargo.toml
index d4ba1b37d86..35f404d89b4 100644
--- a/protocols/relay/Cargo.toml
+++ b/protocols/relay/Cargo.toml
@@ -17,7 +17,6 @@ either = "1.11.0"
 futures = { workspace = true }
 futures-timer = "3"
 futures-bounded = { workspace = true }
-instant = "0.1.12"
 libp2p-core = { workspace = true }
 libp2p-swarm = { workspace = true }
 libp2p-identity = { workspace = true }
@@ -28,6 +27,7 @@ static_assertions = "1"
 thiserror = "1.0"
 tracing = { workspace = true }
 void = "1"
+web-time = "1"
 
 [dev-dependencies]
 libp2p-identity = { workspace = true, features = ["rand"] }
diff --git a/protocols/relay/src/behaviour.rs b/protocols/relay/src/behaviour.rs
index df8443e8359..cf0e76e3662 100644
--- a/protocols/relay/src/behaviour.rs
+++ b/protocols/relay/src/behaviour.rs
@@ -27,7 +27,6 @@ use crate::multiaddr_ext::MultiaddrExt;
 use crate::proto;
 use crate::protocol::{inbound_hop, outbound_stop};
 use either::Either;
-use instant::Instant;
 use libp2p_core::multiaddr::Protocol;
 use libp2p_core::{ConnectedPoint, Endpoint, Multiaddr};
 use libp2p_identity::PeerId;
@@ -41,6 +40,7 @@ use std::num::NonZeroU32;
 use std::ops::Add;
 use std::task::{Context, Poll};
 use std::time::Duration;
+use web_time::Instant;
 
 /// Configuration for the relay [`Behaviour`].
 ///
diff --git a/protocols/relay/src/behaviour/handler.rs b/protocols/relay/src/behaviour/handler.rs
index 958c6a9b906..92557287099 100644
--- a/protocols/relay/src/behaviour/handler.rs
+++ b/protocols/relay/src/behaviour/handler.rs
@@ -28,7 +28,6 @@ use futures::future::{BoxFuture, FutureExt, TryFutureExt};
 use futures::io::AsyncWriteExt;
 use futures::stream::{FuturesUnordered, StreamExt};
 use futures_timer::Delay;
-use instant::Instant;
 use libp2p_core::upgrade::ReadyUpgrade;
 use libp2p_core::{ConnectedPoint, Multiaddr};
 use libp2p_identity::PeerId;
@@ -43,6 +42,7 @@ use std::collections::{HashMap, VecDeque};
 use std::task::{Context, Poll};
 use std::time::Duration;
 use std::{fmt, io};
+use web_time::Instant;
 
 const MAX_CONCURRENT_STREAMS_PER_CONNECTION: usize = 10;
 const STREAM_TIMEOUT: Duration = Duration::from_secs(60);
diff --git a/protocols/relay/src/behaviour/rate_limiter.rs b/protocols/relay/src/behaviour/rate_limiter.rs
index 73c164c121c..45b701c1b50 100644
--- a/protocols/relay/src/behaviour/rate_limiter.rs
+++ b/protocols/relay/src/behaviour/rate_limiter.rs
@@ -18,7 +18,6 @@
 // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
 // DEALINGS IN THE SOFTWARE.
 
-use instant::Instant;
 use libp2p_core::multiaddr::{Multiaddr, Protocol};
 use libp2p_identity::PeerId;
 use std::collections::{HashMap, VecDeque};
@@ -26,6 +25,7 @@ use std::hash::Hash;
 use std::net::IpAddr;
 use std::num::NonZeroU32;
 use std::time::Duration;
+use web_time::Instant;
 
 /// Allows rate limiting access to some resource based on the [`PeerId`] and
 /// [`Multiaddr`] of a remote peer.
diff --git a/protocols/relay/src/protocol/inbound_hop.rs b/protocols/relay/src/protocol/inbound_hop.rs
index 41fe2675dce..57b5d9ad039 100644
--- a/protocols/relay/src/protocol/inbound_hop.rs
+++ b/protocols/relay/src/protocol/inbound_hop.rs
@@ -18,7 +18,8 @@
 // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
 // DEALINGS IN THE SOFTWARE.
 
-use std::time::{Duration, SystemTime};
+use std::time::Duration;
+use web_time::SystemTime;
 
 use asynchronous_codec::{Framed, FramedParts};
 use bytes::Bytes;
diff --git a/protocols/relay/src/protocol/outbound_hop.rs b/protocols/relay/src/protocol/outbound_hop.rs
index 3ae824be167..b349f8848be 100644
--- a/protocols/relay/src/protocol/outbound_hop.rs
+++ b/protocols/relay/src/protocol/outbound_hop.rs
@@ -19,13 +19,14 @@
 // DEALINGS IN THE SOFTWARE.
 
 use std::io;
-use std::time::{Duration, SystemTime};
+use std::time::Duration;
 
 use asynchronous_codec::{Framed, FramedParts};
 use bytes::Bytes;
 use futures::prelude::*;
 use futures_timer::Delay;
 use thiserror::Error;
+use web_time::SystemTime;
 
 use libp2p_core::Multiaddr;
 use libp2p_identity::PeerId;