diff --git a/libs/javalib/src/mill/javalib/RunModule.scala b/libs/javalib/src/mill/javalib/RunModule.scala
index cec40c553c6d..4755bb3c5791 100644
--- a/libs/javalib/src/mill/javalib/RunModule.scala
+++ b/libs/javalib/src/mill/javalib/RunModule.scala
@@ -114,9 +114,10 @@ trait RunModule extends WithJvmWorkerModule with RunModuleApi {
   /**
    * Runs this module's code in a subprocess and waits for it to finish
    */
-  def run(args: Task[Args] = Task.Anon(Args())): Task.Command[Unit] = Task.Command {
-    runForkedTask(finalMainClass, args)()
-  }
+  def run(args: Task[Args] = Task.Anon(Args())): Task.Command[Unit] =
+    Task.Command(exclusive = true) {
+      runForkedTask(finalMainClass, args)()
+    }
 
   /**
    * Runs this module's code in-process within an isolated classloader. This is
@@ -124,16 +125,17 @@ trait RunModule extends WithJvmWorkerModule with RunModuleApi {
    * since the code can dirty the parent Mill process and potentially leave it
    * in a bad state.
    */
-  def runLocal(args: Task[Args] = Task.Anon(Args())): Task.Command[Unit] = Task.Command {
-    runLocalTask(finalMainClass, args)()
-  }
+  def runLocal(args: Task[Args] = Task.Anon(Args())): Task.Command[Unit] =
+    Task.Command(exclusive = true) {
+      runLocalTask(finalMainClass, args)()
+    }
 
   /**
    * Same as `run`, but lets you specify a main class to run
    */
   def runMain(@arg(positional = true) mainClass: String, args: String*): Task.Command[Unit] = {
     val task = runForkedTask(Task.Anon { mainClass }, Task.Anon { Args(args) })
-    Task.Command { task() }
+    Task.Command(exclusive = true) { task() }
   }
 
   /**
@@ -152,7 +154,7 @@ trait RunModule extends WithJvmWorkerModule with RunModuleApi {
    */
   def runMainLocal(@arg(positional = true) mainClass: String, args: String*): Task.Command[Unit] = {
     val task = runLocalTask(Task.Anon { mainClass }, Task.Anon { Args(args) })
-    Task.Command { task() }
+    Task.Command(exclusive = true) { task() }
   }
 
   /**
diff --git a/libs/javalib/src/mill/javalib/bsp/BspRunModule.scala b/libs/javalib/src/mill/javalib/bsp/BspRunModule.scala
index 273dc0ccfe0e..06762646624c 100644
--- a/libs/javalib/src/mill/javalib/bsp/BspRunModule.scala
+++ b/libs/javalib/src/mill/javalib/bsp/BspRunModule.scala
@@ -27,7 +27,7 @@ private[mill] object BspRunModule extends ExternalModule {
     object internalBspRunModule extends mill.api.Module with BspRunModuleApi {
 
       override private[mill] def bspRun(args: Seq[String]): Task[Unit] = Task.Anon {
-        runModule.run(Task.Anon(Args(args)))()
+        runModule.runForkedTask(runModule.finalMainClass, Task.Anon(Args(args)))()
       }
 
       override private[mill] def bspJvmRunEnvironment: Task.Simple[(