diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/mpp/MppCompositeBuildIT.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/mpp/MppCompositeBuildIT.kt
index 437e96af9a4..dfbc101ef52 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/mpp/MppCompositeBuildIT.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/mpp/MppCompositeBuildIT.kt
@@ -253,4 +253,67 @@ class MppCompositeBuildIT : KGPBaseTest() {
             }
         }
     }
+
+    @GradleTest
+    fun `test - sample5-KT-56536-rootProject_name - assemble`(gradleVersion: GradleVersion) {
+        val producer = project("mpp-composite-build/sample5-KT-56536-rootProject.name/producerBuild", gradleVersion)
+
+        project("mpp-composite-build/sample5-KT-56536-rootProject.name/consumerBuild", gradleVersion) {
+            settingsGradleKts.toFile().replaceText("<producer_path>", producer.projectPath.toUri().path)
+            build("cleanNativeDistributionCommonization")
+
+            build("assemble") {
+                assertTasksExecuted(":consumerA:compileCommonMainKotlinMetadata")
+                assertTasksExecuted(":consumerA:compileNativeMainKotlinMetadata")
+                assertTasksExecuted(":consumerA:compileNativeMainKotlinMetadata")
+                assertTasksExecuted(":consumerA:compileKotlinLinuxX64")
+                assertTasksExecuted(":consumerA:compileKotlinJvm")
+            }
+
+            build("assemble") {
+                assertTasksUpToDate(":consumerA:compileCommonMainKotlinMetadata")
+                assertTasksUpToDate(":consumerA:compileNativeMainKotlinMetadata")
+                assertTasksUpToDate(":consumerA:compileNativeMainKotlinMetadata")
+                assertTasksUpToDate(":consumerA:compileKotlinLinuxX64")
+                assertTasksUpToDate(":consumerA:compileKotlinJvm")
+            }
+        }
+    }
+
+    @GradleTest
+    fun `test - sample5-KT-56536-rootProject_name - ide dependencies`(gradleVersion: GradleVersion) {
+        val producer = project("mpp-composite-build/sample5-KT-56536-rootProject.name/producerBuild", gradleVersion)
+
+        project("mpp-composite-build/sample5-KT-56536-rootProject.name/consumerBuild", gradleVersion) {
+            settingsGradleKts.toFile().replaceText("<producer_path>", producer.projectPath.toUri().path)
+            resolveIdeDependencies(":consumerA") { dependencies ->
+                dependencies["commonMain"].assertMatches(
+                    regularSourceDependency("producerBuild::producerA/commonMain"),
+                    kotlinStdlibDependencies
+                )
+
+                dependencies["nativeMain"].assertMatches(
+                    dependsOnDependency(":consumerA/commonMain"),
+                    regularSourceDependency("producerBuild::producerA/commonMain"),
+                    regularSourceDependency("producerBuild::producerA/nativeMain"),
+                    regularSourceDependency("producerBuild::producerA/linuxMain"),
+                    kotlinNativeDistributionDependencies,
+                    binaryCoordinates(Regex(".*stdlib-common:.*")) /* KT-56278 */
+                )
+
+                dependencies["linuxMain"].assertMatches(
+                    dependencies["nativeMain"],
+                    dependsOnDependency(":consumerA/nativeMain"),
+                )
+
+                dependencies["linuxX64Main"].assertMatches(
+                    dependsOnDependency(":consumerA/commonMain"),
+                    dependsOnDependency(":consumerA/nativeMain"),
+                    dependsOnDependency(":consumerA/linuxMain"),
+                    projectArtifactDependency(Regular, "producerBuild::producerA", FilePathRegex(".*/linuxX64/main/klib/producerA.klib")),
+                    kotlinNativeDistributionDependencies,
+                )
+            }
+        }
+    }
 }
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/consumerBuild/consumerA/build.gradle.kts b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/consumerBuild/consumerA/build.gradle.kts
new file mode 100644
index 00000000000..e8e463cd3bf
--- /dev/null
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/consumerBuild/consumerA/build.gradle.kts
@@ -0,0 +1,16 @@
+@file:Suppress("OPT_IN_USAGE")
+
+plugins {
+    kotlin("multiplatform")
+}
+
+kotlin {
+    targetHierarchy.default()
+    jvm()
+    linuxX64()
+    linuxArm64()
+
+    sourceSets.commonMain.get().dependencies {
+        implementation("org.jetbrains.sample:producerA:1.0.0-SNAPSHOT")
+    }
+}
\ No newline at end of file
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/consumerBuild/consumerA/src/commonMain/kotlin/ConsumerACommon.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/consumerBuild/consumerA/src/commonMain/kotlin/ConsumerACommon.kt
new file mode 100644
index 00000000000..a24fbc86602
--- /dev/null
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/consumerBuild/consumerA/src/commonMain/kotlin/ConsumerACommon.kt
@@ -0,0 +1,5 @@
+object ConsumerACommon {
+    init {
+        ProducerACommon
+    }
+}
\ No newline at end of file
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/consumerBuild/consumerA/src/linuxX64Main/kotlin/ConsumerALinuxX64.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/consumerBuild/consumerA/src/linuxX64Main/kotlin/ConsumerALinuxX64.kt
new file mode 100644
index 00000000000..7fac304d38f
--- /dev/null
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/consumerBuild/consumerA/src/linuxX64Main/kotlin/ConsumerALinuxX64.kt
@@ -0,0 +1,7 @@
+object ConsumerALinuxX64 {
+    init {
+        ProducerACommon
+        ProducerANative
+        ProducerALinuxX64
+    }
+}
\ No newline at end of file
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/consumerBuild/consumerA/src/nativeMain/kotlin/ConsumerANative.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/consumerBuild/consumerA/src/nativeMain/kotlin/ConsumerANative.kt
new file mode 100644
index 00000000000..3a0f8f1ea5b
--- /dev/null
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/consumerBuild/consumerA/src/nativeMain/kotlin/ConsumerANative.kt
@@ -0,0 +1,5 @@
+object ConsumerANative {
+    init {
+        ProducerANative
+    }
+}
\ No newline at end of file
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/consumerBuild/settings.gradle.kts b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/consumerBuild/settings.gradle.kts
new file mode 100644
index 00000000000..51772eedeb2
--- /dev/null
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/consumerBuild/settings.gradle.kts
@@ -0,0 +1,14 @@
+dependencyResolutionManagement {
+    repositories {
+        mavenLocal()
+        mavenCentral()
+    }
+}
+
+include(":consumerA")
+
+includeBuild("<producer_path>") {
+    dependencySubstitution {
+        substitute(module("org.jetbrains.sample:producerA")).using(project(":producerA"))
+    }
+}
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/producerBuild/producerA/build.gradle.kts b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/producerBuild/producerA/build.gradle.kts
new file mode 100644
index 00000000000..88f6b254a60
--- /dev/null
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/producerBuild/producerA/build.gradle.kts
@@ -0,0 +1,17 @@
+@file:Suppress("OPT_IN_USAGE")
+
+plugins {
+    kotlin("multiplatform")
+    `maven-publish`
+}
+
+
+group = "org.jetbrains.sample"
+version = "1.0.0-SNAPSHOT"
+
+kotlin {
+    targetHierarchy.default()
+    jvm()
+    linuxX64()
+    linuxArm64()
+}
\ No newline at end of file
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/producerBuild/producerA/src/commonMain/kotlin/ProducerACommon.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/producerBuild/producerA/src/commonMain/kotlin/ProducerACommon.kt
new file mode 100644
index 00000000000..b072253bfee
--- /dev/null
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/producerBuild/producerA/src/commonMain/kotlin/ProducerACommon.kt
@@ -0,0 +1 @@
+object ProducerACommon
\ No newline at end of file
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/producerBuild/producerA/src/linuxX64Main/kotlin/ProducerALinuxX64.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/producerBuild/producerA/src/linuxX64Main/kotlin/ProducerALinuxX64.kt
new file mode 100644
index 00000000000..921704bb926
--- /dev/null
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/producerBuild/producerA/src/linuxX64Main/kotlin/ProducerALinuxX64.kt
@@ -0,0 +1 @@
+object ProducerALinuxX64
\ No newline at end of file
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/producerBuild/producerA/src/nativeMain/kotlin/ProducerANative.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/producerBuild/producerA/src/nativeMain/kotlin/ProducerANative.kt
new file mode 100644
index 00000000000..618d78c3f83
--- /dev/null
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/producerBuild/producerA/src/nativeMain/kotlin/ProducerANative.kt
@@ -0,0 +1 @@
+object ProducerANative
\ No newline at end of file
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/producerBuild/settings.gradle.kts b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/producerBuild/settings.gradle.kts
new file mode 100644
index 00000000000..ed0f8ed90c4
--- /dev/null
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/mpp-composite-build/sample5-KT-56536-rootProject.name/producerBuild/settings.gradle.kts
@@ -0,0 +1,10 @@
+rootProject.name = "customProducerName"
+
+dependencyResolutionManagement {
+    repositories {
+        mavenLocal()
+        mavenCentral()
+    }
+}
+
+include(":producerA")