diff --git a/ibis/backends/base/sql/glot/datatypes.py b/ibis/backends/base/sql/glot/datatypes.py
index a63410f199924..535cf2d4d41f9 100644
--- a/ibis/backends/base/sql/glot/datatypes.py
+++ b/ibis/backends/base/sql/glot/datatypes.py
@@ -202,21 +202,14 @@ def _to_ibis_STRUCT(cls, *fields: sge.ColumnDef) -> dt.Struct:
         return dt.Struct(types, nullable=cls.default_nullable)
 
     @classmethod
-    def _to_ibis_TIMESTAMP(
-        cls,
-        scale: sge.DataTypeSize | None = None,
-        timezone: sge.DataTypeSize | None = None,
-    ) -> dt.Timestamp:
+    def _to_ibis_TIMESTAMP(cls, scale=None) -> dt.Timestamp:
         return dt.Timestamp(
-            timezone=None if timezone is None else timezone.this.this,
             scale=cls.default_temporal_scale if scale is None else int(scale.this.this),
             nullable=cls.default_nullable,
         )
 
     @classmethod
-    def _to_ibis_TIMESTAMPTZ(
-        cls, scale: sge.DataTypeSize | None = None
-    ) -> dt.Timestamp:
+    def _to_ibis_TIMESTAMPTZ(cls, scale=None) -> dt.Timestamp:
         return dt.Timestamp(
             timezone="UTC",
             scale=cls.default_temporal_scale if scale is None else int(scale.this.this),
@@ -280,13 +273,13 @@ def _from_ibis_Decimal(cls, dtype: dt.Decimal) -> sge.DataType:
 
     @classmethod
     def _from_ibis_Timestamp(cls, dtype: dt.Timestamp) -> sge.DataType:
-        return sge.DataType(
-            this=typecode.TIMESTAMP,
-            expressions=[
-                sge.Literal.number(dtype.scale),
-                sge.Literal.string(dtype.timezone),
-            ],
-        )
+        code = typecode.TIMESTAMP if dtype.timezone is None else typecode.TIMESTAMPTZ
+        if dtype.scale:
+            scale = sge.Literal.number(dtype.scale)
+            scale = sge.DataTypeSize(this=typecode.DATATYPESIZE, expressions=[scale])
+            return sge.DataType(this=code, expressions=[scale])
+        else:
+            return sge.DataType(this=code)
 
 
 class PostgresType(SqlglotType):
diff --git a/ibis/backends/base/sql/glot/tests/test_datatypes.py b/ibis/backends/base/sql/glot/tests/test_datatypes.py
index 82902f7232698..129747c3cc297 100644
--- a/ibis/backends/base/sql/glot/tests/test_datatypes.py
+++ b/ibis/backends/base/sql/glot/tests/test_datatypes.py
@@ -37,7 +37,7 @@ def assert_dtype_roundtrip(ibis_type, sqlglot_expected=None):
         | its.uuid_dtype(nullable=true)
         | its.date_dtype(nullable=true)
         | its.time_dtype(nullable=true)
-        | its.timestamp_dtype(nullable=true)
+        | its.timestamp_dtype(timezone=st.none(), nullable=true)
         # | its.interval_dtype(nullable=true)
         | its.array_dtypes(roundtripable_types, nullable=true)
         | its.map_dtypes(roundtripable_types, roundtripable_types, nullable=true)
diff --git a/ibis/backends/clickhouse/datatypes.py b/ibis/backends/clickhouse/datatypes.py
index b97cc05065dc5..db3c8b679f060 100644
--- a/ibis/backends/clickhouse/datatypes.py
+++ b/ibis/backends/clickhouse/datatypes.py
@@ -53,30 +53,24 @@ def _to_ibis_NULLABLE(cls, inner_type: sge.DataType) -> dt.DataType:
         return cls.to_ibis(inner_type, nullable=True)
 
     @classmethod
-    def _to_ibis_DATETIME(
-        cls,
-        first: sge.DataTypeSize | None = None,
-        second: sge.DataTypeSize | None = None,
-    ) -> dt.Timestamp:
-        if first is not None and second is not None:
-            scale = first
-            timezone = second
-        elif first is not None and second is None:
-            timezone, scale = (
-                (first, second) if first.this.is_string else (second, first)
-            )
-        else:
-            scale = first
-            timezone = second
-        return cls._to_ibis_TIMESTAMP(scale=scale, timezone=timezone)
+    def _to_ibis_DATETIME(cls, timezone: sge.Literal | None = None) -> dt.Timestamp:
+        return dt.Timestamp(
+            timezone=None if timezone is None else timezone.this.this,
+            scale=cls.default_temporal_scale,
+            nullable=cls.default_nullable,
+        )
 
     @classmethod
     def _to_ibis_DATETIME64(
         cls,
         scale: sge.DataTypeSize | None = None,
-        timezone: sge.DataTypeSize | None = None,
+        timezone: sge.Literal | None = None,
     ) -> dt.Timestamp:
-        return cls._to_ibis_TIMESTAMP(scale=scale, timezone=timezone)
+        return dt.Timestamp(
+            timezone=None if timezone is None else timezone.this.this,
+            scale=cls.default_temporal_scale if scale is None else int(scale.this.this),
+            nullable=cls.default_nullable,
+        )
 
     @classmethod
     def _to_ibis_LOWCARDINALITY(cls, inner_type: sge.DataType) -> dt.DataType:
@@ -99,6 +93,7 @@ def _from_ibis_Timestamp(cls, dtype: dt.Timestamp) -> sge.DataType:
         else:
             scale = sge.Literal.number(dtype.scale)
 
+        scale = sge.DataTypeSize(this=typecode.DATATYPESIZE, expressions=[scale])
         if dtype.timezone is None:
             return sge.DataType(this=typecode.DATETIME64, expressions=[scale])
         else:
diff --git a/ibis/backends/clickhouse/tests/test_types.py b/ibis/backends/clickhouse/tests/test_datatypes.py
similarity index 96%
rename from ibis/backends/clickhouse/tests/test_types.py
rename to ibis/backends/clickhouse/tests/test_datatypes.py
index 29fc743f1bc43..7fa4b81479fa6 100644
--- a/ibis/backends/clickhouse/tests/test_types.py
+++ b/ibis/backends/clickhouse/tests/test_datatypes.py
@@ -207,13 +207,19 @@ def test_columns_types_with_additional_argument(con):
             ),
             id="nested",
         ),
+        param("DateTime", dt.Timestamp(nullable=False), id="datetime"),
+        param(
+            "DateTime('Europe/Budapest')",
+            dt.Timestamp(timezone="Europe/Budapest", nullable=False),
+            id="datetime_timezone",
+        ),
+        param("DateTime64", dt.Timestamp(nullable=False), id="datetime64"),
         param(
             "DateTime64(0)", dt.Timestamp(scale=0, nullable=False), id="datetime64_zero"
         ),
         param(
             "DateTime64(1)", dt.Timestamp(scale=1, nullable=False), id="datetime64_one"
         ),
-        param("DateTime64", dt.Timestamp(nullable=False), id="datetime64"),
     ]
     + [
         param(