diff --git a/pom.xml b/pom.xml
index 0d4ffa9d..a279aa7f 100644
--- a/pom.xml
+++ b/pom.xml
@@ -196,6 +196,10 @@
             <groupId>org.springframework.boot</groupId>
             <artifactId>spring-boot-starter-actuator</artifactId>
         </dependency>
+        <dependency>
+            <groupId>org.springframework.boot</groupId>
+            <artifactId>spring-boot-starter-amqp</artifactId>
+        </dependency>
 
         <!-- Runtime dependencies -->
         <dependency>
diff --git a/src/main/java/org/gridsuite/loadflow/server/config/RabbitConsumerConfig.java b/src/main/java/org/gridsuite/loadflow/server/config/RabbitConsumerConfig.java
new file mode 100644
index 00000000..74dfcce7
--- /dev/null
+++ b/src/main/java/org/gridsuite/loadflow/server/config/RabbitConsumerConfig.java
@@ -0,0 +1,36 @@
+package org.gridsuite.loadflow.server.config;
+
+import org.springframework.amqp.rabbit.listener.MessageListenerContainer;
+import org.springframework.amqp.rabbit.listener.SimpleMessageListenerContainer;
+import org.springframework.cloud.stream.config.ListenerContainerCustomizer;
+import org.springframework.context.annotation.Bean;
+import org.springframework.context.annotation.Configuration;
+
+import java.util.Map;
+import java.util.Objects;
+import java.util.concurrent.atomic.AtomicInteger;
+
+@Configuration
+public class RabbitConsumerConfig {
+    /*
+     * RabbitMQ consumer priority:
+     * https://www.rabbitmq.com/docs/consumer-priority
+     *
+     * Each container creates exactly one AMQP consumer with prefetch=1 and its own priority.
+     * When dispatching messages, RabbitMQ always selects the highest-priority consumer
+     * that is available.
+     */
+    @Bean
+    public ListenerContainerCustomizer<MessageListenerContainer> customizer() {
+        /*
+         * Using AtomicInteger as in org/springframework/cloud/stream/binder/rabbit/RabbitMessageChannelBinder.java
+         * We expect cloud stream to call our customizer exactly once in order for each container so it will produce a sequence of increasing priorities
+         */
+        AtomicInteger index = new AtomicInteger();
+        return (container, destination, group) -> {
+            if (container instanceof SimpleMessageListenerContainer smlc && Objects.equals(group, "loadflowGroup")) {
+                smlc.setConsumerArguments(Map.of("x-priority", index.getAndIncrement()));
+            }
+        };
+    }
+}
diff --git a/src/main/java/org/gridsuite/loadflow/server/service/LoadFlowWorkerService.java b/src/main/java/org/gridsuite/loadflow/server/service/LoadFlowWorkerService.java
index 10558123..2e64dcba 100644
--- a/src/main/java/org/gridsuite/loadflow/server/service/LoadFlowWorkerService.java
+++ b/src/main/java/org/gridsuite/loadflow/server/service/LoadFlowWorkerService.java
@@ -545,9 +545,33 @@ public static String getNextLimitName(LimitViolationInfos limitViolationInfos, N
         return temporaryLimit != null ? temporaryLimit.getName() : null;
     }
 
+    /*
+     * Spring Cloud Stream does not allow customizing each consumer within a single listener
+     * container (i.e. when concurrency = N)
+     *
+     * Since we need to customize each consumer individually, we simulate "concurrency = N"
+     * by creating N listener containers, each with concurrency = 1.
+     *
+     * This requires defining one Consumer bean per container, which explains
+     * the duplicated methods below.
+     */
     @Bean
-    @Override
-    public Consumer<Message<String>> consumeRun() {
+    public Consumer<Message<String>> consumeRun1() {
+        return super.consumeRun();
+    }
+
+    @Bean
+    public Consumer<Message<String>> consumeRun2() {
+        return super.consumeRun();
+    }
+
+    @Bean
+    public Consumer<Message<String>> consumeRun3() {
+        return super.consumeRun();
+    }
+
+    @Bean
+    public Consumer<Message<String>> consumeRun4() {
         return super.consumeRun();
     }
 
diff --git a/src/main/resources/config/application.yaml b/src/main/resources/config/application.yaml
index 3d8db43a..1ec238e1 100644
--- a/src/main/resources/config/application.yaml
+++ b/src/main/resources/config/application.yaml
@@ -4,15 +4,25 @@ spring:
 
   cloud:
     function:
-      definition: consumeRun;consumeCancel
+      definition: consumeRun1;consumeRun2;consumeRun3;consumeRun4;consumeCancel
     stream:
       bindings:
-        consumeRun-in-0:
+        # Spring Cloud Stream does not allow customizing each consumer within a single listener
+        # container (i.e. when concurrency = N)
+        #
+        # Since we need to customize each consumer individually, we simulate "concurrency = N"
+        # by creating N listener containers, each with concurrency = 1.
+        consumeRun1-in-0: &consumeRunConfig
           destination: ${powsybl-ws.rabbitmq.destination.prefix:}loadflow.run
           group: loadflowGroup
           consumer:
-            concurrency: 4
             max-attempts: 1
+        consumeRun2-in-0:
+          <<: *consumeRunConfig
+        consumeRun3-in-0:
+          <<: *consumeRunConfig
+        consumeRun4-in-0:
+          <<: *consumeRunConfig
         publishRun-out-0:
           destination: ${powsybl-ws.rabbitmq.destination.prefix:}loadflow.run
         publishResult-out-0:
@@ -28,7 +38,8 @@ spring:
       output-bindings: publishRun-out-0;publishResult-out-0;publishCancel-out-0;publishStopped-out-0;publishCancelFailed-out-0
       rabbit:
         bindings:
-          consumeRun-in-0:
+          # See comment on spring.cloud.stream.bindings.consumeRun1-in-0
+          consumeRun1-in-0: &consumeRunRabbitConfig
             consumer:
               auto-bind-dlq: true
               dead-letter-exchange: ${powsybl-ws.rabbitmq.destination.prefix:}loadflow.run.dlx
@@ -37,6 +48,12 @@ spring:
               quorum:
                 enabled: true
                 delivery-limit: 2
+          consumeRun2-in-0:
+            <<: *consumeRunRabbitConfig
+          consumeRun3-in-0:
+            <<: *consumeRunRabbitConfig
+          consumeRun4-in-0:
+            <<: *consumeRunRabbitConfig
 powsybl-ws:
   database:
     name: loadflow
diff --git a/src/test/resources/application-default.yml b/src/test/resources/application-default.yml
index 9762ed63..f8ac484c 100644
--- a/src/test/resources/application-default.yml
+++ b/src/test/resources/application-default.yml
@@ -8,6 +8,10 @@ spring:
     hibernate:
       #to turn off schema validation that fails (because of clob types) and blocks tests even if the the schema is compatible
       ddl-auto: none
+  cloud:
+    function:
+      # disable consumeRun2/3/4 during test - all of them receive the "loadflowGroup" messages otherwise
+      definition: consumeRun1;consumeCancel
 
 logging:
   level: