diff --git a/ipykernel/debugger.py b/ipykernel/debugger.py
index 43ae68300..b59ad476f 100644
--- a/ipykernel/debugger.py
+++ b/ipykernel/debugger.py
@@ -316,7 +316,13 @@ class Debugger:
     ]
 
     # Requests that can be handled even if the debugger is not running
-    static_debug_msg_types = ["debugInfo", "inspectVariables", "richInspectVariables", "modules"]
+    static_debug_msg_types = [
+        "debugInfo",
+        "inspectVariables",
+        "richInspectVariables",
+        "modules",
+        "copyToGlobals",
+    ]
 
     def __init__(
         self, log, debugpy_stream, event_callback, shell_socket, session, just_my_code=True
@@ -662,6 +668,26 @@ async def richInspectVariables(self, message):
         reply["success"] = True
         return reply
 
+    async def copyToGlobals(self, message):
+        dst_var_name = message["arguments"]["dstVariableName"]
+        src_var_name = message["arguments"]["srcVariableName"]
+        src_frame_id = message["arguments"]["srcFrameId"]
+
+        expression = f"globals()['{dst_var_name}']"
+        seq = message["seq"]
+        return await self._forward_message(
+            {
+                "type": "request",
+                "command": "setExpression",
+                "seq": seq + 1,
+                "arguments": {
+                    "expression": expression,
+                    "value": src_var_name,
+                    "frameId": src_frame_id,
+                },
+            }
+        )
+
     async def modules(self, message):
         """Handle a modules message."""
         modules = list(sys.modules.values())
diff --git a/ipykernel/tests/test_debugger.py b/ipykernel/tests/test_debugger.py
index 200154cfc..c9071296c 100644
--- a/ipykernel/tests/test_debugger.py
+++ b/ipykernel/tests/test_debugger.py
@@ -282,3 +282,100 @@ def test_convert_to_long_pathname():
         from ipykernel.compiler import _convert_to_long_pathname
 
         _convert_to_long_pathname(__file__)
+
+
+def test_copy_to_globals(kernel_with_debug):
+    local_var_name = "var"
+    global_var_name = "var_copy"
+    code = f"""from IPython.core.display import HTML
+def my_test():
+    {local_var_name} = HTML('<p>test content</p>')
+    pass
+a = 2
+my_test()"""
+
+    # Init debugger and set breakpoint
+    r = wait_for_debug_request(kernel_with_debug, "dumpCell", {"code": code})
+    source = r["body"]["sourcePath"]
+
+    wait_for_debug_request(
+        kernel_with_debug,
+        "setBreakpoints",
+        {
+            "breakpoints": [{"line": 4}],
+            "source": {"path": source},
+            "sourceModified": False,
+        },
+    )
+
+    wait_for_debug_request(kernel_with_debug, "debugInfo")
+
+    wait_for_debug_request(kernel_with_debug, "configurationDone")
+
+    # Execute code
+    kernel_with_debug.execute(code)
+
+    # Wait for stop on breakpoint
+    msg: dict = {"msg_type": "", "content": {}}
+    while msg.get("msg_type") != "debug_event" or msg["content"].get("event") != "stopped":
+        msg = kernel_with_debug.get_iopub_msg(timeout=TIMEOUT)
+
+    stacks = wait_for_debug_request(kernel_with_debug, "stackTrace", {"threadId": 1})["body"][
+        "stackFrames"
+    ]
+
+    # Get local frame id
+    frame_id = stacks[0]["id"]
+
+    # Copy the variable
+    wait_for_debug_request(
+        kernel_with_debug,
+        "copyToGlobals",
+        {
+            "srcVariableName": local_var_name,
+            "dstVariableName": global_var_name,
+            "srcFrameId": frame_id,
+        },
+    )
+
+    # Get the scopes
+    scopes = wait_for_debug_request(kernel_with_debug, "scopes", {"frameId": frame_id})["body"][
+        "scopes"
+    ]
+
+    # Get the local variable
+    locals_ = wait_for_debug_request(
+        kernel_with_debug,
+        "variables",
+        {
+            "variablesReference": next(filter(lambda s: s["name"] == "Locals", scopes))[
+                "variablesReference"
+            ]
+        },
+    )["body"]["variables"]
+
+    local_var = None
+    for variable in locals_:
+        if local_var_name in variable["evaluateName"]:
+            local_var = variable
+    assert local_var is not None
+
+    # Get the global variable (copy of the local variable)
+    globals_ = wait_for_debug_request(
+        kernel_with_debug,
+        "variables",
+        {
+            "variablesReference": next(filter(lambda s: s["name"] == "Globals", scopes))[
+                "variablesReference"
+            ]
+        },
+    )["body"]["variables"]
+
+    global_var = None
+    for variable in globals_:
+        if global_var_name in variable["evaluateName"]:
+            global_var = variable
+    assert global_var is not None
+
+    # Compare local and global variable
+    assert global_var["value"] == local_var["value"] and global_var["type"] == local_var["type"]
diff --git a/pyproject.toml b/pyproject.toml
index 1730197a0..ef9587f89 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -25,7 +25,7 @@ classifiers = [
 urls = {Homepage = "https://ipython.org"}
 requires-python = ">=3.8"
 dependencies = [
-    "debugpy>=1.0",
+    "debugpy>=1.6.5",
     "ipython>=7.23.1",
     "comm>=0.1.1",
     "traitlets>=5.4.0",