diff --git a/compiler/ir/backend.js/src/org/jetbrains/kotlin/ir/backend/js/transformers/irToJs/JsIrProgramFragment.kt b/compiler/ir/backend.js/src/org/jetbrains/kotlin/ir/backend/js/transformers/irToJs/JsIrProgramFragment.kt
index af5fd3186b5cd..12fd4195ada77 100644
--- a/compiler/ir/backend.js/src/org/jetbrains/kotlin/ir/backend/js/transformers/irToJs/JsIrProgramFragment.kt
+++ b/compiler/ir/backend.js/src/org/jetbrains/kotlin/ir/backend/js/transformers/irToJs/JsIrProgramFragment.kt
@@ -128,6 +128,8 @@ class CrossModuleDependenciesResolver(
             }
         }
 
+        headerToBuilder.forEach { it.value.buildExportNames() }
+
         return headers.associateWith { headerToBuilder[it]!!.buildCrossModuleRefs() }
     }
 }
@@ -145,13 +147,12 @@ private class JsIrModuleCrossModuleReferenceBuilder(
 
     private lateinit var exportNames: Map<String, String> // tag -> index
 
-    private fun buildExportNames() {
+    fun buildExportNames() {
         var index = 0
         exportNames = exports.sorted().associateWith { index++.toJsIdentifier() }
     }
 
     fun buildCrossModuleRefs(): CrossModuleReferences {
-        buildExportNames()
         val isImportOptional = moduleKind == ModuleKind.ES
         val importedModules = mutableMapOf<JsIrModuleHeader, JsImportedModule>()
 
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/Kotlin2JsGradlePluginIT.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/Kotlin2JsGradlePluginIT.kt
index 2f3a9511b0a24..60c9a2481d41c 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/Kotlin2JsGradlePluginIT.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/Kotlin2JsGradlePluginIT.kt
@@ -620,6 +620,16 @@ class Kotlin2JsIrGradlePluginIT : AbstractKotlin2JsGradlePluginIT(true) {
             }
         }
     }
+
+    @DisplayName("Cross modules work correctly with compose dependency ('KT60852')")
+    @GradleTest
+    fun crossModulesWorkCorrectlyWithComposeDependencyKT60852(gradleVersion: GradleVersion) {
+        project("kotlin-js-compose-dependency", gradleVersion) {
+            build("compileDevelopmentExecutableKotlinJs") {
+                assertTasksExecuted(":compileDevelopmentExecutableKotlinJs")
+            }
+        }
+    }
 }
 
 @JsGradlePluginTests
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/kotlin-js-compose-dependency/build.gradle.kts b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/kotlin-js-compose-dependency/build.gradle.kts
new file mode 100644
index 0000000000000..03dc93134dc64
--- /dev/null
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/kotlin-js-compose-dependency/build.gradle.kts
@@ -0,0 +1,28 @@
+plugins {
+    id("org.jetbrains.kotlin.multiplatform")
+}
+
+repositories {
+    mavenLocal()
+    mavenCentral()
+}
+
+kotlin {
+    js {
+        binaries.executable()
+        nodejs {
+        }
+    }
+    sourceSets {
+        val commonMain by getting {
+            dependencies {
+                implementation("org.jetbrains.compose.runtime:runtime:1.4.3") // commenting this out and uncommenting in jsMain fixes the issue
+            }
+        }
+        val jsMain by getting {
+            dependencies {
+                implementation("org.jetbrains.compose.html:html-core:1.4.3")
+            }
+        }
+    }
+}
\ No newline at end of file
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/kotlin-js-compose-dependency/gradle.properties b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/kotlin-js-compose-dependency/gradle.properties
new file mode 100644
index 0000000000000..a7d8617fa6f6a
--- /dev/null
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/kotlin-js-compose-dependency/gradle.properties
@@ -0,0 +1 @@
+kotlin.js.compiler=ir
\ No newline at end of file
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/kotlin-js-compose-dependency/src/jsMain/kotlin/Base.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/kotlin-js-compose-dependency/src/jsMain/kotlin/Base.kt
new file mode 100644
index 0000000000000..82dbb4db6cf78
--- /dev/null
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/kotlin-js-compose-dependency/src/jsMain/kotlin/Base.kt
@@ -0,0 +1,12 @@
+/*
+ * Copyright 2010-2023 JetBrains s.r.o. and Kotlin Programming Language contributors.
+ * Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
+ */
+
+import org.jetbrains.compose.web.internal.runtime.ComposeWebInternalApi
+import org.jetbrains.compose.web.internal.runtime.DomApplier
+
+@OptIn(ComposeWebInternalApi::class)
+fun main() {
+    DomApplier::class.js
+}
\ No newline at end of file