diff --git a/network-runner/src/bin/app/main.rs b/network-runner/src/bin/app/main.rs
index 82fedf5..d29456c 100644
--- a/network-runner/src/bin/app/main.rs
+++ b/network-runner/src/bin/app/main.rs
@@ -101,6 +101,8 @@ impl SimulationApp {
                             .filter(|&id| id != &node_id)
                             .copied()
                             .choose_multiple(&mut rng, 3),
+                        data_message_lottery_interval: Duration::from_secs(20),
+                        stake_proportion: 1.0 / node_ids.len() as f64,
                         seed: 0,
                         persistent_transmission: PersistentTransmissionSettings {
                             max_emission_frequency: 1.0,
diff --git a/network-runner/src/node/mix/lottery.rs b/network-runner/src/node/mix/lottery.rs
new file mode 100644
index 0000000..d0ed0b9
--- /dev/null
+++ b/network-runner/src/node/mix/lottery.rs
@@ -0,0 +1,22 @@
+use rand::Rng;
+
+pub struct StakeLottery<R> {
+    rng: R,
+    stake_proportion: f64,
+}
+
+impl<R> StakeLottery<R>
+where
+    R: Rng,
+{
+    pub fn new(rng: R, stake_proportion: f64) -> Self {
+        Self {
+            rng,
+            stake_proportion,
+        }
+    }
+
+    pub fn run(&mut self) -> bool {
+        self.rng.gen_range(0.0..1.0) < self.stake_proportion
+    }
+}
diff --git a/network-runner/src/node/mix/mod.rs b/network-runner/src/node/mix/mod.rs
index ac68231..1b7b129 100644
--- a/network-runner/src/node/mix/mod.rs
+++ b/network-runner/src/node/mix/mod.rs
@@ -1,3 +1,4 @@
+mod lottery;
 mod consensus_streams;
 mod scheduler;
 pub mod state;
@@ -7,6 +8,7 @@ use super::{Node, NodeId};
 use crate::network::{InMemoryNetworkInterface, NetworkInterface, PayloadSize};
 use crossbeam::channel;
 use futures::Stream;
+use lottery::StakeLottery;
 use multiaddr::Multiaddr;
 use nomos_mix::{
     membership::Membership,
@@ -19,7 +21,7 @@ use nomos_mix::{
     MixOutgoingMessage,
 };
 use nomos_mix_message::mock::MockMixMessage;
-use rand::{Rng, RngCore, SeedableRng};
+use rand::SeedableRng;
 use rand_chacha::ChaCha12Rng;
 use scheduler::{Interval, TemporalRelease};
 use serde::Deserialize;
@@ -43,6 +45,8 @@ impl PayloadSize for MixMessage {
 #[derive(Clone, Deserialize)]
 pub struct MixnodeSettings {
     pub connected_peers: Vec<NodeId>,
+    pub data_message_lottery_interval: Duration,
+    pub stake_proportion: f64,
     pub seed: u64,
     pub persistent_transmission: PersistentTransmissionSettings,
     pub message_blend: MessageBlendSettings<MockMixMessage>,
@@ -56,7 +60,9 @@ pub struct MixNode {
     settings: MixnodeSettings,
     network_interface: InMemoryNetworkInterface<MixMessage>,
 
-    msg_gen_rng: ChaCha12Rng,
+    data_msg_lottery_update_time_sender: channel::Sender<Duration>,
+    data_msg_lottery_interval: Interval,
+    data_msg_lottery: StakeLottery<ChaCha12Rng>,
 
     persistent_sender: channel::Sender<Vec<u8>>,
     persistent_update_time_sender: channel::Sender<Duration>,
@@ -85,6 +91,18 @@ impl MixNode {
     ) -> Self {
         let mut rng_generator = ChaCha12Rng::seed_from_u64(settings.seed);
 
+        // Init Interval for data message lottery
+        let (data_msg_lottery_update_time_sender, data_msg_lottery_update_time_receiver) =
+            channel::unbounded();
+        let data_msg_lottery_interval = Interval::new(
+            settings.data_message_lottery_interval,
+            data_msg_lottery_update_time_receiver,
+        );
+        let data_msg_lottery = StakeLottery::new(
+            ChaCha12Rng::from_rng(&mut rng_generator).unwrap(),
+            settings.stake_proportion,
+        );
+
         // Init Tier-1: Persistent transmission
         let (persistent_sender, persistent_receiver) = channel::unbounded();
         let (persistent_update_time_sender, persistent_update_time_receiver) = channel::unbounded();
@@ -146,7 +164,9 @@ impl MixNode {
                 step_id: 0,
                 num_messages_broadcasted: 0,
             },
-            msg_gen_rng: ChaCha12Rng::from_rng(&mut rng_generator).unwrap(),
+            data_msg_lottery_update_time_sender,
+            data_msg_lottery_interval,
+            data_msg_lottery,
             persistent_sender,
             persistent_update_time_sender,
             persistent_transmission_messages,
@@ -165,6 +185,9 @@ impl MixNode {
     }
 
     fn update_time(&mut self, elapsed: Duration) {
+        self.data_msg_lottery_update_time_sender
+            .send(elapsed)
+            .unwrap();
         self.persistent_update_time_sender.send(elapsed).unwrap();
         self.blend_update_time_sender.send(elapsed).unwrap();
     }
@@ -187,6 +210,8 @@ impl Node for MixNode {
         self.update_time(elapsed);
 
         let Self {
+            data_msg_lottery_interval,
+            data_msg_lottery,
             persistent_sender,
             persistent_transmission_messages,
             crypto_processor,
@@ -194,24 +219,26 @@ impl Node for MixNode {
             blend_messages,
             ..
         } = self;
+        let waker = futures::task::noop_waker();
+        let mut cx = futures::task::Context::from_waker(&waker);
 
-        // Generate a message probabilistically (1 % chance)
-        // TODO: Replace this with the actual cover message generation
-        if self.msg_gen_rng.gen_range(0..100) == 0 {
-            let mut payload = [0u8; 1024];
-            self.msg_gen_rng.fill_bytes(&mut payload);
-            let message = crypto_processor.wrap_message(&payload).unwrap();
-            persistent_sender.send(message).unwrap();
+        if let Poll::Ready(Some(_)) = pin::pin!(data_msg_lottery_interval).poll_next(&mut cx) {
+            if data_msg_lottery.run() {
+                // TODO: Include a meaningful information in the payload (such as, step_id) to
+                // measure the latency until the message reaches the last mix node.
+                let message = crypto_processor.wrap_message(&[1u8; 1024]).unwrap();
+                persistent_sender.send(message).unwrap();
+            }
         }
 
+        // TODO: Generate cover message with probability
+
         let messages = self.network_interface.receive_messages();
         for message in messages {
             println!(">>>>> Node {}, message: {message:?}", self.id);
             blend_sender.send(message.into_payload().0).unwrap();
         }
 
-        let waker = futures::task::noop_waker();
-        let mut cx = futures::task::Context::from_waker(&waker);
         // Proceed message blend
         if let Poll::Ready(Some(msg)) = pin::pin!(blend_messages).poll_next(&mut cx) {
             match msg {