diff --git a/CHANGELOG.md b/CHANGELOG.md
index 7813da07e..4e5656681 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -2,6 +2,7 @@
 
 ## 0.7.9dev
 
+* [Fix] Fixed `Set` method in `Connection` class to recognize same descriptor with different aliases  (#532)
 * [Fix] Added bottom-padding to the buttons in table explorer. Now they are not hidden by the scrollbar (#540)
 * [Feature] Modified `histogram` command to support data with NULL values (#176)
 * [Fix] `psutil` is no longer a dependency for JupySQL ([#541](https://github.com/ploomber/jupysql/issues/541))
diff --git a/doc/api/magic-plot.md b/doc/api/magic-plot.md
index 75751c13a..2d85b2c06 100644
--- a/doc/api/magic-plot.md
+++ b/doc/api/magic-plot.md
@@ -5,7 +5,7 @@ jupytext:
     extension: .md
     format_name: myst
     format_version: 0.13
-    jupytext_version: 1.14.5
+    jupytext_version: 1.14.6
 kernelspec:
   display_name: Python 3 (ipykernel)
   language: python
@@ -152,10 +152,11 @@ generate histograms without explicitly removing NULL entries.
 `%sqlplot` returns a `matplotlib.Axes` object.
 
 ```{code-cell} ipython3
-ax = %sqlplot histogram --table penguins.csv --column body_mass_g 
+ax = %sqlplot histogram --table penguins.csv --column body_mass_g
 ax.set_title("Body mass (grams)")
 _ = ax.grid()
 ```
+
 ## `%sqlplot bar`
 
 ```{versionadded} 0.7.6
@@ -196,7 +197,7 @@ You can also pass the orientation using the `orient` argument.
 
 ```{code-cell} ipython3
 %sqlplot bar --table add_col --column species cnt --with add_col --orient h
-``` 
+```
 
 You can also show the number on top of the bar using the `S`/`show-numbers` argument.
 
@@ -237,6 +238,7 @@ group by species
 ```{code-cell} ipython3
 %sqlplot pie --table add_col --column species cnt --with add_col
 ```
+
 Here, `species` is the `labels` column and `cnt` is the `x` column.
 
 
@@ -244,4 +246,4 @@ You can also show the percentage on top of the pie using the `S`/`show-numbers`
 
 ```{code-cell} ipython3
 %sqlplot pie --table penguins.csv --column species -S
-```
\ No newline at end of file
+```
diff --git a/doc/api/magic-sql.md b/doc/api/magic-sql.md
index 44f9a2e44..333df4fcd 100644
--- a/doc/api/magic-sql.md
+++ b/doc/api/magic-sql.md
@@ -5,7 +5,7 @@ jupytext:
     extension: .md
     format_name: myst
     format_version: 0.13
-    jupytext_version: 1.14.5
+    jupytext_version: 1.14.6
 kernelspec:
   display_name: Python 3 (ipykernel)
   language: python
@@ -136,8 +136,8 @@ Or pass an alias (**added in 0.5.2**):
 %sql --close db-two
 ```
 
-
 ## Specify creator function
+
 ```{code-cell} ipython3
 import os
 import sqlite3
@@ -146,6 +146,8 @@ import sqlite3
 os.environ["DATABASE_URL"] = "sqlite:///"
 
 # Define a function that returns a DBAPI connection
+
+
 def creator():
     return sqlite3.connect("")
 ```
@@ -154,7 +156,6 @@ def creator():
 %sql --creator creator
 ```
 
-
 ## Create table
 
 ```{code-cell} ipython3
diff --git a/doc/howto/ggplot-interact.md b/doc/howto/ggplot-interact.md
index deee3e6a2..fa3fea5ce 100644
--- a/doc/howto/ggplot-interact.md
+++ b/doc/howto/ggplot-interact.md
@@ -7,7 +7,7 @@ jupytext:
     extension: .md
     format_name: myst
     format_version: 0.13
-    jupytext_version: 1.14.5
+    jupytext_version: 1.14.6
 kernelspec:
   display_name: Python 3 (ipykernel)
   language: python
@@ -193,8 +193,11 @@ show_legend = widgets.ToggleButton(
 
 ```{code-cell} ipython3
 def plot(b, cmap, show_legend):
-    (ggplot("diamonds", aes(x="price")) + geom_histogram(bins=b, fill="cut", cmap=cmap)
-     + facet_wrap("color", legend=show_legend))
+    (
+        ggplot("diamonds", aes(x="price"))
+        + geom_histogram(bins=b, fill="cut", cmap=cmap)
+        + facet_wrap("color", legend=show_legend)
+    )
 ```
 
 ```{code-cell} ipython3
diff --git a/src/sql/connection.py b/src/sql/connection.py
index 8128866df..d5435055b 100644
--- a/src/sql/connection.py
+++ b/src/sql/connection.py
@@ -360,7 +360,6 @@ def set(cls, descriptor, displaycon, connect_args=None, creator=None, alias=None
 
         if descriptor:
             is_custom_connection_ = Connection.is_custom_connection(descriptor)
-
             if isinstance(descriptor, Connection):
                 cls.current = descriptor
             elif isinstance(descriptor, Engine):
@@ -369,7 +368,6 @@ def set(cls, descriptor, displaycon, connect_args=None, creator=None, alias=None
                 cls.current = CustomConnection(descriptor, alias=alias)
             else:
                 existing = rough_dict_get(cls.connections, descriptor)
-
                 # NOTE: I added one indentation level, otherwise
                 # the "existing" variable would not exist if
                 # passing an engine object as descriptor.
@@ -377,12 +375,20 @@ def set(cls, descriptor, displaycon, connect_args=None, creator=None, alias=None
                 # is that we're missing some unit tests
                 # when descriptor is a connection object
                 # http://docs.sqlalchemy.org/en/rel_0_9/core/engines.html#custom-dbapi-connect-arguments # noqa
-                cls.current = existing or Connection.from_connect_str(
-                    connect_str=descriptor,
-                    connect_args=connect_args,
-                    creator=creator,
-                    alias=alias,
-                )
+                # if same alias found
+                if existing and existing.alias == alias:
+                    cls.current = existing
+                # if just switching connections
+                elif existing and alias is None:
+                    cls.current = existing
+                # if new alias connection
+                elif existing is None or existing.alias != alias:
+                    cls.current = Connection.from_connect_str(
+                        connect_str=descriptor,
+                        connect_args=connect_args,
+                        creator=creator,
+                        alias=alias,
+                    )
 
         else:
             if cls.connections:
@@ -397,7 +403,6 @@ def set(cls, descriptor, displaycon, connect_args=None, creator=None, alias=None
                 )
             else:
                 raise cls._error_no_connection()
-
         return cls.current
 
     @classmethod
diff --git a/src/tests/test_connection.py b/src/tests/test_connection.py
index f83c4dfb9..daa6dac08 100644
--- a/src/tests/test_connection.py
+++ b/src/tests/test_connection.py
@@ -377,3 +377,27 @@ def test_close_all(ip_empty):
         connections_copy["duckdb://"].execute("").fetchall()
 
     assert not Connection.connections
+
+
+@pytest.mark.parametrize(
+    "old_alias, new_alias",
+    [
+        (None, "duck1"),
+        ("duck1", "duck2"),
+        (None, None),
+    ],
+)
+def test_new_connection_with_alias(ip_empty, old_alias, new_alias):
+    """Test if a new connection with the same url but a
+    new alias is registered for different cases of old alias
+    """
+    ip_empty.run_cell(f"%sql duckdb:// --alias {old_alias}")
+    ip_empty.run_cell(f"%sql duckdb:// --alias {new_alias}")
+    table = ip_empty.run_cell("sql --connections").result
+    if old_alias is None and new_alias is None:
+        assert new_alias not in table
+    else:
+        connection = table[new_alias]
+        assert connection
+        assert connection.url == "duckdb://"
+        assert connection == connection.current