diff --git a/src/EFCore.SqlServer/Metadata/Internal/SqlServerAnnotationNames.cs b/src/EFCore.SqlServer/Metadata/Internal/SqlServerAnnotationNames.cs
index fb932681f6f..1c6ea77fad8 100644
--- a/src/EFCore.SqlServer/Metadata/Internal/SqlServerAnnotationNames.cs
+++ b/src/EFCore.SqlServer/Metadata/Internal/SqlServerAnnotationNames.cs
@@ -354,4 +354,12 @@ public static class SqlServerAnnotationNames
     ///     doing so can result in application failures when updating to a new Entity Framework Core release.
     /// </summary>
     public const string FullTextCatalogs = Prefix + "FullTextCatalogs";
+
+    /// <summary>
+    ///     This is an internal API that supports the Entity Framework Core infrastructure and not subject to
+    ///     the same compatibility standards as public APIs. It may be changed or removed without notice in
+    ///     any release. You should only use it directly in your code with extreme caution and knowing that
+    ///     doing so can result in application failures when updating to a new Entity Framework Core release.
+    /// </summary>
+    public const string UseDropExisting = Prefix + "UseDropExisting";
 }
diff --git a/src/EFCore.SqlServer/Migrations/SqlServerMigrationsSqlGenerator.cs b/src/EFCore.SqlServer/Migrations/SqlServerMigrationsSqlGenerator.cs
index 0d550996239..c3cc65feea5 100644
--- a/src/EFCore.SqlServer/Migrations/SqlServerMigrationsSqlGenerator.cs
+++ b/src/EFCore.SqlServer/Migrations/SqlServerMigrationsSqlGenerator.cs
@@ -2132,6 +2132,15 @@ protected override void IndexOptions(MigrationOperation operation, IModel? model
             });
         }
 
+        // When this CreateIndexOperation was rewritten from a Drop+Create pair (an index facet
+        // changed and the index needs to be recreated), emit DROP_EXISTING = ON so SQL Server
+        // atomically replaces the index without leaving the table un-indexed during the rebuild.
+        // See #35067.
+        if (operation[SqlServerAnnotationNames.UseDropExisting] is true)
+        {
+            options.Add("DROP_EXISTING = ON");
+        }
+
         // Vector index options.
         // Note that the metric facet is mandatory, and used to determine if the index is a vector index.
         if (operation[SqlServerAnnotationNames.VectorIndexMetric] is string vectorMetric)
@@ -2664,6 +2673,79 @@ private string Uniquify(string variableName, bool increase = true)
         return _variableCounter == 0 ? variableName : variableName + _variableCounter;
     }
 
+    private IReadOnlyList<MigrationOperation> RewriteDropAndCreateIndexAsDropExisting(
+        IReadOnlyList<MigrationOperation> migrationOperations)
+    {
+        // The differ produces a DropIndexOperation + CreateIndexOperation pair when an index facet
+        // changes (e.g. fill factor, sort order, uniqueness, filter, columns). On SQL Server the
+        // pair can be collapsed into a single `CREATE INDEX ... WITH (DROP_EXISTING = ON)` which
+        // is more efficient: queries can continue using the old index while the new one is being
+        // built, instead of going un-indexed during the drop. See #35067.
+        //
+        // The rewrite is limited to non-special indexes (no memory-optimized, full-text or vector
+        // index, since those use different syntax/restrictions).
+
+        // Short-circuit when no DropIndex+CreateIndex pair is possible.
+        if (!migrationOperations.OfType<DropIndexOperation>().Any()
+            || !migrationOperations.OfType<CreateIndexOperation>().Any())
+        {
+            return migrationOperations;
+        }
+
+        // Map (Name, Table, Schema) → DropIndexOperation, only for drops we may collapse.
+        var dropsByIdentity = new Dictionary<(string Name, string Table, string? Schema), DropIndexOperation>();
+        foreach (var dropOperation in migrationOperations.OfType<DropIndexOperation>())
+        {
+            if (dropOperation.Table is null)
+            {
+                continue;
+            }
+
+            dropsByIdentity[(dropOperation.Name, dropOperation.Table, dropOperation.Schema)] = dropOperation;
+        }
+
+        // Identify the drops we are going to collapse and mark the matching creates.
+        var dropsToRemove = new HashSet<DropIndexOperation>();
+        foreach (var createOperation in migrationOperations.OfType<CreateIndexOperation>())
+        {
+            if (createOperation.Table is null
+                || !dropsByIdentity.TryGetValue(
+                    (createOperation.Name, createOperation.Table, createOperation.Schema), out var dropOperation))
+            {
+                continue;
+            }
+
+            // Skip special index types that don't support DROP_EXISTING.
+            if (createOperation[SqlServerAnnotationNames.FullTextIndex] is not null
+                || createOperation[SqlServerAnnotationNames.VectorIndexMetric] is not null
+                || IsMemoryOptimized(createOperation, model: null, createOperation.Schema, createOperation.Table))
+            {
+                continue;
+            }
+
+            createOperation.AddAnnotation(SqlServerAnnotationNames.UseDropExisting, true);
+            dropsToRemove.Add(dropOperation);
+        }
+
+        if (dropsToRemove.Count == 0)
+        {
+            return migrationOperations;
+        }
+
+        var resultOperations = new List<MigrationOperation>(migrationOperations.Count - dropsToRemove.Count);
+        foreach (var migrationOperation in migrationOperations)
+        {
+            if (migrationOperation is DropIndexOperation dropOperation && dropsToRemove.Contains(dropOperation))
+            {
+                continue;
+            }
+
+            resultOperations.Add(migrationOperation);
+        }
+
+        return resultOperations;
+    }
+
     private IReadOnlyList<MigrationOperation> FixLegacyTemporalAnnotations(IReadOnlyList<MigrationOperation> migrationOperations)
     {
         // short-circuit for non-temporal migrations (which is the majority)
@@ -2797,6 +2879,7 @@ private IReadOnlyList<MigrationOperation> RewriteOperations(
         MigrationsSqlGenerationOptions options)
     {
         migrationOperations = FixLegacyTemporalAnnotations(migrationOperations);
+        migrationOperations = RewriteDropAndCreateIndexAsDropExisting(migrationOperations);
 
         var operations = new List<MigrationOperation>();
         var availableSchemas = new List<string>();
diff --git a/test/EFCore.SqlServer.FunctionalTests/Migrations/MigrationsSqlServerTest.cs b/test/EFCore.SqlServer.FunctionalTests/Migrations/MigrationsSqlServerTest.cs
index 655c1d30cfb..105f4c4dd46 100644
--- a/test/EFCore.SqlServer.FunctionalTests/Migrations/MigrationsSqlServerTest.cs
+++ b/test/EFCore.SqlServer.FunctionalTests/Migrations/MigrationsSqlServerTest.cs
@@ -2039,11 +2039,7 @@ public override async Task Alter_index_make_unique()
 
         AssertSql(
             """
-DROP INDEX [IX_People_X] ON [People];
-""",
-            //
-            """
-CREATE UNIQUE INDEX [IX_People_X] ON [People] ([X]);
+CREATE UNIQUE INDEX [IX_People_X] ON [People] ([X]) WITH (DROP_EXISTING = ON);
 """);
     }
 
@@ -2053,11 +2049,74 @@ public override async Task Alter_index_change_sort_order()
 
         AssertSql(
             """
-DROP INDEX [IX_People_X_Y_Z] ON [People];
-""",
-            //
+CREATE INDEX [IX_People_X_Y_Z] ON [People] ([X], [Y] DESC, [Z]) WITH (DROP_EXISTING = ON);
+""");
+    }
+
+    [ConditionalFact]
+    public virtual async Task Alter_index_fill_factor_uses_drop_existing()
+    {
+        // Regression test for #35067: when only an index facet (fill factor here) changes, the
+        // migration must collapse the differ's Drop+Create pair into a single CREATE INDEX
+        // ... WITH (DROP_EXISTING = ON), which lets queries continue using the old index while the
+        // new one is being built.
+        await Test(
+            builder => builder.Entity(
+                "People", e =>
+                {
+                    e.Property<int>("Id");
+                    e.Property<string>("Name").IsRequired();
+                    e.HasIndex("Name").HasFillFactor(80);
+                }),
+            builder => builder.Entity(
+                "People", e =>
+                {
+                    e.Property<int>("Id");
+                    e.Property<string>("Name").IsRequired();
+                    e.HasIndex("Name").HasFillFactor(90);
+                }),
+            model =>
+            {
+                var table = Assert.Single(model.Tables);
+                var index = Assert.Single(table.Indexes);
+                Assert.Equal(90, index[SqlServerAnnotationNames.FillFactor]);
+            });
+
+        AssertSql(
             """
-CREATE INDEX [IX_People_X_Y_Z] ON [People] ([X], [Y] DESC, [Z]);
+CREATE INDEX [IX_People_Name] ON [People] ([Name]) WITH (FILLFACTOR = 90, DROP_EXISTING = ON);
+""");
+    }
+
+    [ConditionalFact]
+    public virtual async Task Alter_index_filter_uses_drop_existing()
+    {
+        // Changing the index filter must also collapse to CREATE INDEX ... WITH (DROP_EXISTING = ON).
+        await Test(
+            builder => builder.Entity(
+                "People", e =>
+                {
+                    e.Property<int>("Id");
+                    e.Property<string>("Name");
+                    e.HasIndex("Name").HasFilter("[Name] IS NOT NULL");
+                }),
+            builder => builder.Entity(
+                "People", e =>
+                {
+                    e.Property<int>("Id");
+                    e.Property<string>("Name");
+                    e.HasIndex("Name").HasFilter("[Name] IS NOT NULL AND [Name] <> N''");
+                }),
+            model =>
+            {
+                var table = Assert.Single(model.Tables);
+                var index = Assert.Single(table.Indexes);
+                Assert.Equal("([Name] IS NOT NULL AND [Name]<>N'')", index.Filter);
+            });
+
+        AssertSql(
+            """
+CREATE INDEX [IX_People_Name] ON [People] ([Name]) WHERE [Name] IS NOT NULL AND [Name] <> N'' WITH (DROP_EXISTING = ON);
 """);
     }