diff --git a/substratevm/src/com.oracle.svm.hosted/src/com/oracle/svm/hosted/classinitialization/AllowAllHostedUsagesClassInitializationSupport.java b/substratevm/src/com.oracle.svm.hosted/src/com/oracle/svm/hosted/classinitialization/AllowAllHostedUsagesClassInitializationSupport.java
index 2ccb82b10545..76058e96bccd 100644
--- a/substratevm/src/com.oracle.svm.hosted/src/com/oracle/svm/hosted/classinitialization/AllowAllHostedUsagesClassInitializationSupport.java
+++ b/substratevm/src/com.oracle.svm.hosted/src/com/oracle/svm/hosted/classinitialization/AllowAllHostedUsagesClassInitializationSupport.java
@@ -26,8 +26,6 @@
 
 import java.lang.reflect.Proxy;
 
-import org.graalvm.compiler.java.LambdaUtils;
-
 import com.oracle.graal.pointsto.meta.AnalysisMetaAccess;
 import com.oracle.graal.pointsto.meta.AnalysisUniverse;
 import com.oracle.svm.core.util.UserError;
@@ -161,8 +159,8 @@ InitKind computeInitKindAndMaybeInitializeClass(Class<?> clazz, boolean memoize)
         }
         superResult = superResult.max(processInterfaces(clazz, memoize));
 
-        if (superResult == InitKind.BUILD_TIME && (Proxy.isProxyClass(clazz) || LambdaUtils.isLambdaType(metaAccess.lookupJavaType(clazz)))) {
-            forceInitializeHosted(clazz, "proxy/lambda classes with interfaces initialized at build time are also initialized at build time", false);
+        if (superResult == InitKind.BUILD_TIME && Proxy.isProxyClass(clazz)) {
+            forceInitializeHosted(clazz, "proxy classes with interfaces initialized at build time are also initialized at build time", false);
             return InitKind.BUILD_TIME;
         }
 
diff --git a/substratevm/src/com.oracle.svm.hosted/src/com/oracle/svm/hosted/classinitialization/ClassInitializationFeature.java b/substratevm/src/com.oracle.svm.hosted/src/com/oracle/svm/hosted/classinitialization/ClassInitializationFeature.java
index 06720f9809fe..534365051c08 100644
--- a/substratevm/src/com.oracle.svm.hosted/src/com/oracle/svm/hosted/classinitialization/ClassInitializationFeature.java
+++ b/substratevm/src/com.oracle.svm.hosted/src/com/oracle/svm/hosted/classinitialization/ClassInitializationFeature.java
@@ -39,6 +39,7 @@
 
 import org.graalvm.collections.Pair;
 import org.graalvm.compiler.graph.Node;
+import org.graalvm.compiler.java.LambdaUtils;
 import org.graalvm.compiler.options.OptionValues;
 import org.graalvm.compiler.phases.util.Providers;
 import org.graalvm.nativeimage.impl.clinit.ClassInitializationTracking;
@@ -207,6 +208,7 @@ public void afterAnalysis(AfterAnalysisAccess a) {
                                 .filter(c -> c.getClassLoader() != null && c.getClassLoader() != ClassLoader.getPlatformClassLoader())
                                 .filter(c -> classInitializationSupport.specifiedInitKindFor(c) == null)
                                 .map(Class::getTypeName)
+                                .filter(name -> !LambdaUtils.isLambdaName(name))
                                 .collect(Collectors.toList());
                 if (!unspecifiedClasses.isEmpty()) {
                     System.err.println("The following classes have unspecified initialization policy:" + System.lineSeparator() + String.join(System.lineSeparator(), unspecifiedClasses));