diff --git a/src/core/providers/ogr/qgsogrproviderutils.cpp b/src/core/providers/ogr/qgsogrproviderutils.cpp
index 9c1b80eb3457..67b779c265c2 100644
--- a/src/core/providers/ogr/qgsogrproviderutils.cpp
+++ b/src/core/providers/ogr/qgsogrproviderutils.cpp
@@ -344,8 +344,13 @@ QString createFilters( const QString &type )
       }
       else if ( driverName.startsWith( QLatin1String( "GPKG" ) ) )
       {
+#if GDAL_VERSION_NUM >= GDAL_COMPUTE_VERSION(3,7,0)
+        sFileFilters += createFileFilter_( QObject::tr( "GeoPackage" ), QStringLiteral( "*.gpkg *.gpkg.zip" ) );
+        sExtensions << QStringLiteral( "gpkg" ) << QStringLiteral( "gpkg.zip" );
+#else
         sFileFilters += createFileFilter_( QObject::tr( "GeoPackage" ), QStringLiteral( "*.gpkg" ) );
         sExtensions << QStringLiteral( "gpkg" );
+#endif
       }
       else if ( driverName.startsWith( QLatin1String( "GRASS" ) ) )
       {
diff --git a/src/core/qgsvectorfilewriter.cpp b/src/core/qgsvectorfilewriter.cpp
index 631d2acc5f23..78c9b8f24075 100644
--- a/src/core/qgsvectorfilewriter.cpp
+++ b/src/core/qgsvectorfilewriter.cpp
@@ -1574,7 +1574,11 @@ class QgsVectorFileWriterMetadataContainer
                              QgsVectorFileWriter::MetaData(
                                QStringLiteral( "GeoPackage" ),
                                QObject::tr( "GeoPackage" ),
+#if GDAL_VERSION_NUM >= GDAL_COMPUTE_VERSION(3,7,0)
+                               QStringLiteral( "*.gpkg *.gpkg.zip" ),
+#else
                                QStringLiteral( "*.gpkg" ),
+#endif
                                QStringLiteral( "gpkg" ),
                                datasetOptions,
                                layerOptions,
diff --git a/tests/src/python/test_qgsvectorfilewriter.py b/tests/src/python/test_qgsvectorfilewriter.py
index a1a2f6dcbffe..857fae26f145 100644
--- a/tests/src/python/test_qgsvectorfilewriter.py
+++ b/tests/src/python/test_qgsvectorfilewriter.py
@@ -903,9 +903,18 @@ def testSupportedFiltersAndFormat(self):
         formats = QgsVectorFileWriter.supportedFiltersAndFormats(
             QgsVectorFileWriter.VectorFormatOption.SortRecommended
         )
-        self.assertEqual(formats[0].filterString, "GeoPackage (*.gpkg *.GPKG)")
+        if int(gdal.VersionInfo("VERSION_NUM")) >= GDAL_COMPUTE_VERSION(3, 7, 0):
+            self.assertEqual(
+                formats[0].filterString,
+                "GeoPackage (*.gpkg *.gpkg.zip *.GPKG *.GPKG.ZIP)",
+            )
+        else:
+            self.assertEqual(formats[0].filterString, "GeoPackage (*.gpkg *.GPKG)")
         self.assertEqual(formats[0].driverName, "GPKG")
-        self.assertEqual(formats[0].globs, ["*.gpkg"])
+        if int(gdal.VersionInfo("VERSION_NUM")) >= GDAL_COMPUTE_VERSION(3, 7, 0):
+            self.assertEqual(formats[0].globs, ["*.gpkg", "*.gpkg.zip"])
+        else:
+            self.assertEqual(formats[0].globs, ["*.gpkg"])
         self.assertEqual(formats[1].filterString, "ESRI Shapefile (*.shp *.SHP)")
         self.assertEqual(formats[1].driverName, "ESRI Shapefile")
         self.assertEqual(formats[1].globs, ["*.shp"])