diff --git a/Source/cmGeneratorTarget.cxx b/Source/cmGeneratorTarget.cxx
index 8bac4a1365..fb92771b03 100644
--- a/Source/cmGeneratorTarget.cxx
+++ b/Source/cmGeneratorTarget.cxx
@@ -1309,7 +1309,8 @@ bool cmGeneratorTarget::HasSOName(const std::string& config) const
   // and then only when the platform supports an soname flag.
   return ((this->GetType() == cmStateEnums::SHARED_LIBRARY) &&
           !this->GetPropertyAsBool("NO_SONAME") &&
-          this->Makefile->GetSONameFlag(this->GetLinkerLanguage(config)));
+          (this->Makefile->GetSONameFlag(this->GetLinkerLanguage(config)) ||
+           this->IsArchivedAIXSharedLibrary()));
 }
 
 bool cmGeneratorTarget::NeedRelinkBeforeInstall(
@@ -3398,7 +3399,7 @@ cmGeneratorTarget::Names cmGeneratorTarget::GetLibraryNames(
   cmValue soversion = this->GetProperty("SOVERSION");
   if (!this->HasSOName(config) ||
       this->Makefile->IsOn("CMAKE_PLATFORM_NO_VERSIONED_SONAME") ||
-      this->IsFrameworkOnApple() || this->IsArchivedAIXSharedLibrary()) {
+      this->IsFrameworkOnApple()) {
     // Versioning is supported only for shared libraries and modules,
     // and then only when the platform supports an soname flag.
     version = nullptr;
@@ -3434,6 +3435,10 @@ cmGeneratorTarget::Names cmGeneratorTarget::GetLibraryNames(
   } else if (this->IsArchivedAIXSharedLibrary()) {
     targetNames.SharedObject =
       cmStrCat(components.prefix, targetNames.Base, ".so");
+    if (soversion) {
+      targetNames.SharedObject += ".";
+      targetNames.SharedObject += *soversion;
+    }
     targetNames.Real = targetNames.Output;
   } else {
     // The library's soname.
diff --git a/Tests/SharedLibraryArchive/CMakeLists.txt b/Tests/SharedLibraryArchive/CMakeLists.txt
index 3af0f76b47..f6bef2434b 100644
--- a/Tests/SharedLibraryArchive/CMakeLists.txt
+++ b/Tests/SharedLibraryArchive/CMakeLists.txt
@@ -9,7 +9,7 @@ if(NOT aix_sla)
   message(FATAL_ERROR "AIX_SHARED_LIBRARY_ARCHIVE not initialized on SHARED library")
 endif()
 add_custom_command(TARGET sla POST_BUILD VERBATIM
-  COMMAND ${CMAKE_COMMAND} -DCMAKE_SYSTEM_NAME=${CMAKE_SYSTEM_NAME} -Dsla=$<TARGET_FILE:sla> -P${CMAKE_CURRENT_SOURCE_DIR}/sla-check.cmake
+  COMMAND ${CMAKE_COMMAND} -DCMAKE_SYSTEM_NAME=${CMAKE_SYSTEM_NAME} -Dsla=$<TARGET_FILE:sla> -Dname=sla -Dsoversion= -P${CMAKE_CURRENT_SOURCE_DIR}/sla-check.cmake
   )
 
 add_executable(UseSLA use_sla.c)
@@ -25,8 +25,10 @@ get_property(aix_sla_versioned TARGET sla_versioned PROPERTY AIX_SHARED_LIBRARY_
 if(NOT aix_sla_versioned)
   message(FATAL_ERROR "AIX_SHARED_LIBRARY_ARCHIVE not initialized on SHARED library")
 endif()
-
 set_target_properties(sla_versioned PROPERTIES OUTPUT_NAME "sla_versioned" VERSION 3 SOVERSION 2)
+add_custom_command(TARGET sla_versioned POST_BUILD VERBATIM
+  COMMAND ${CMAKE_COMMAND} -DCMAKE_SYSTEM_NAME=${CMAKE_SYSTEM_NAME} -Dsla=$<TARGET_FILE:sla_versioned> -Dname=sla_versioned -Dsoversion=2 -P${CMAKE_CURRENT_SOURCE_DIR}/sla-check.cmake
+  )
 
 add_executable(UseSLA_versioned use_sla.c)
 get_property(aix_sla_versioned TARGET UseSLA_versioned PROPERTY AIX_SHARED_LIBRARY_ARCHIVE)
diff --git a/Tests/SharedLibraryArchive/sla-check.cmake b/Tests/SharedLibraryArchive/sla-check.cmake
index bc1fee5272..90a0de4363 100644
--- a/Tests/SharedLibraryArchive/sla-check.cmake
+++ b/Tests/SharedLibraryArchive/sla-check.cmake
@@ -1,9 +1,14 @@
 if(CMAKE_SYSTEM_NAME STREQUAL "AIX")
-  if(NOT sla MATCHES [[/libsla\.a]])
+  set(sla_regex "/lib${name}\\.a$")
+  if(NOT sla MATCHES "${sla_regex}")
     message(FATAL_ERROR "sla library does not look like an archive:\n ${sla}")
   endif()
   execute_process(COMMAND ar t ${sla} OUTPUT_STRIP_TRAILING_WHITESPACE OUTPUT_VARIABLE sla_members)
-  if(NOT sla_members MATCHES [[^libsla\.so]])
-    message(FATAL_ERROR "sla library archive does not have expected members:\n ${sla_members}")
+  if(soversion)
+    set(soversion_regex "\\.${soversion}")
+  endif()
+  set(sla_members_regex "^lib${name}\\.so${soversion_regex}$")
+  if(NOT sla_members MATCHES "${sla_members_regex}")
+    message(FATAL_ERROR "sla library archive has members:\n ${sla_members}\nthat do not match:\n ${sla_members_regex}")
   endif()
 endif()