diff --git a/compiler/fir/fir2ir/src/org/jetbrains/kotlin/fir/backend/generators/FakeOverrideGenerator.kt b/compiler/fir/fir2ir/src/org/jetbrains/kotlin/fir/backend/generators/FakeOverrideGenerator.kt
index b6638b82f7d..15a7800902c 100644
--- a/compiler/fir/fir2ir/src/org/jetbrains/kotlin/fir/backend/generators/FakeOverrideGenerator.kt
+++ b/compiler/fir/fir2ir/src/org/jetbrains/kotlin/fir/backend/generators/FakeOverrideGenerator.kt
@@ -5,14 +5,13 @@
 
 package org.jetbrains.kotlin.fir.backend.generators
 
-import org.jetbrains.kotlin.descriptors.Visibilities
 import org.jetbrains.kotlin.fir.FirSession
 import org.jetbrains.kotlin.fir.backend.*
 import org.jetbrains.kotlin.fir.backend.collectCallableNamesFromSupertypes
 import org.jetbrains.kotlin.fir.declarations.FirClass
 import org.jetbrains.kotlin.fir.declarations.FirProperty
 import org.jetbrains.kotlin.fir.declarations.FirRegularClass
-import org.jetbrains.kotlin.fir.declarations.visibility
+import org.jetbrains.kotlin.fir.declarations.allowsToHaveFakeOverride
 import org.jetbrains.kotlin.fir.resolve.ScopeSession
 import org.jetbrains.kotlin.fir.resolve.buildUseSiteMemberScope
 import org.jetbrains.kotlin.fir.scopes.impl.FirClassSubstitutionScope
@@ -82,7 +81,7 @@ internal class FakeOverrideGenerator(
                         declarations += irFunction.withFunction {
                             overriddenSymbols = listOf(overriddenSymbol)
                         }
-                    } else if (fakeOverrideMode != FakeOverrideMode.SUBSTITUTION && originalFunction.visibility != Visibilities.PRIVATE) {
+                    } else if (fakeOverrideMode != FakeOverrideMode.SUBSTITUTION && originalFunction.allowsToHaveFakeOverride) {
                         // Trivial fake override case
                         val fakeOverrideSymbol = FirClassSubstitutionScope.createFakeOverrideFunction(
                             session, originalFunction, functionSymbol
@@ -112,7 +111,7 @@ internal class FakeOverrideGenerator(
                         declarations += irProperty.withProperty {
                             setOverriddenSymbolsForAccessors(originalProperty, firOverriddenSymbol = baseSymbol)
                         }
-                    } else if (fakeOverrideMode != FakeOverrideMode.SUBSTITUTION && originalProperty.visibility != Visibilities.PRIVATE) {
+                    } else if (fakeOverrideMode != FakeOverrideMode.SUBSTITUTION && originalProperty.allowsToHaveFakeOverride) {
                         // Trivial fake override case
                         val fakeOverrideSymbol = FirClassSubstitutionScope.createFakeOverrideProperty(
                             session, originalProperty, propertySymbol, derivedClassId = klass.symbol.classId
@@ -121,7 +120,15 @@ internal class FakeOverrideGenerator(
 
                         val irProperty = declarationStorage.createIrProperty(
                             fakeOverrideProperty, irParent = this, origin = origin
-                        )
+                        ).apply {
+                            // Do not create fake overrides for accessors if not allowed to do so, e.g., private lateinit var.
+                            if (originalProperty.getter?.allowsToHaveFakeOverride != true) {
+                                getter = null
+                            }
+                            if (originalProperty.setter?.allowsToHaveFakeOverride != true) {
+                                setter = null
+                            }
+                        }
                         declarations += irProperty.withProperty {
                             setOverriddenSymbolsForAccessors(fakeOverrideProperty, firOverriddenSymbol = propertySymbol)
                         }
@@ -131,4 +138,4 @@ internal class FakeOverrideGenerator(
         }
     }
 
-}
\ No newline at end of file
+}
diff --git a/compiler/fir/tree/src/org/jetbrains/kotlin/fir/declarations/FirDeclarationUtil.kt b/compiler/fir/tree/src/org/jetbrains/kotlin/fir/declarations/FirDeclarationUtil.kt
index ca90568d98e..2c2156e6beb 100644
--- a/compiler/fir/tree/src/org/jetbrains/kotlin/fir/declarations/FirDeclarationUtil.kt
+++ b/compiler/fir/tree/src/org/jetbrains/kotlin/fir/declarations/FirDeclarationUtil.kt
@@ -6,6 +6,7 @@
 package org.jetbrains.kotlin.fir.declarations
 
 import org.jetbrains.kotlin.descriptors.ClassKind
+import org.jetbrains.kotlin.descriptors.Visibilities
 import org.jetbrains.kotlin.fir.declarations.builder.AbstractFirRegularClassBuilder
 import org.jetbrains.kotlin.fir.declarations.builder.FirTypeParameterBuilder
 import org.jetbrains.kotlin.fir.symbols.impl.FirAnonymousObjectSymbol
@@ -36,6 +37,8 @@ inline val FirRegularClass.isData get() = status.isData
 inline val FirRegularClass.isInline get() = status.isInline
 inline val FirMemberDeclaration.modality get() = status.modality
 inline val FirMemberDeclaration.visibility get() = status.visibility
+inline val FirMemberDeclaration.allowsToHaveFakeOverride: Boolean
+    get() = !Visibilities.isPrivate(visibility) && this != Visibilities.INVISIBLE_FAKE
 inline val FirMemberDeclaration.effectiveVisibility get() = status.effectiveVisibility
 inline val FirMemberDeclaration.isActual get() = status.isActual
 inline val FirMemberDeclaration.isExpect get() = status.isExpect
@@ -55,6 +58,8 @@ inline val FirMemberDeclaration.isFromEnumClass: Boolean get() = status.isFromEn
 
 inline val FirPropertyAccessor.modality get() = status.modality
 inline val FirPropertyAccessor.visibility get() = status.visibility
+inline val FirPropertyAccessor.allowsToHaveFakeOverride: Boolean
+    get() = !Visibilities.isPrivate(visibility) && this != Visibilities.INVISIBLE_FAKE
 
 fun AbstractFirRegularClassBuilder.addDeclaration(declaration: FirDeclaration) {
     declarations += declaration
@@ -67,7 +72,6 @@ fun AbstractFirRegularClassBuilder.addDeclarations(declarations: Collection<FirD
     declarations.forEach(this::addDeclaration)
 }
 
-
 val FirTypeAlias.expandedConeType: ConeClassLikeType? get() = expandedTypeRef.coneTypeSafe()
 
 val FirClass<*>.classId get() = symbol.classId
diff --git a/compiler/testData/codegen/box/properties/kt3930.kt b/compiler/testData/codegen/box/properties/kt3930.kt
index b9946b8fe75..b03168b7f43 100644
--- a/compiler/testData/codegen/box/properties/kt3930.kt
+++ b/compiler/testData/codegen/box/properties/kt3930.kt
@@ -1,4 +1,3 @@
-// IGNORE_BACKEND_FIR: JVM_IR
 public abstract class Foo {
     var isOpen = true
         private set
diff --git a/compiler/testData/codegen/box/properties/lateinit/privateSetterViaSubclass.kt b/compiler/testData/codegen/box/properties/lateinit/privateSetterViaSubclass.kt
index a910d478be3..be73743b028 100644
--- a/compiler/testData/codegen/box/properties/lateinit/privateSetterViaSubclass.kt
+++ b/compiler/testData/codegen/box/properties/lateinit/privateSetterViaSubclass.kt
@@ -1,4 +1,3 @@
-// IGNORE_BACKEND_FIR: JVM_IR
 open class A {
     lateinit var x: String
         private set