diff --git a/conans/client/graph/proxy.py b/conans/client/graph/proxy.py
index 8cb149acbf2..a3ef9db76a3 100644
--- a/conans/client/graph/proxy.py
+++ b/conans/client/graph/proxy.py
@@ -13,6 +13,10 @@
 from conans.util.tracer import log_recipe_got_from_local_cache
 
 
+# TODO: Remove warning message when this URL is no longer available
+DEPRECATED_CONAN_CENTER_BINTRAY_URL = "https://conan.bintray.com"
+
+
 class ConanProxy(object):
     def __init__(self, cache, output, remote_manager):
         # collaborators
@@ -113,6 +117,12 @@ def _download_recipe(self, layout, ref, output, remotes, remote, recorder):
         def _retrieve_from_remote(the_remote):
             output.info("Trying with '%s'..." % the_remote.name)
             # If incomplete, resolve the latest in server
+            if the_remote.url.startswith(DEPRECATED_CONAN_CENTER_BINTRAY_URL):
+                output.warn("Remote https://conan.bintray.com is deprecated and will be shut down "
+                            "soon.")
+                output.warn("Please use the new 'conancenter' default remote.")
+                output.warn("Add it to your remotes with: conan remote add -i 0 conancenter "
+                            "https://center.conan.io")
             _ref = self._remote_manager.get_recipe(ref, the_remote)
             output.info("Downloaded recipe revision %s" % _ref.revision)
             recorder.recipe_downloaded(ref, the_remote.url)
diff --git a/conans/test/integration/command/install/install_test.py b/conans/test/integration/command/install/install_test.py
index 97d60045f6b..615568c5b65 100644
--- a/conans/test/integration/command/install/install_test.py
+++ b/conans/test/integration/command/install/install_test.py
@@ -447,3 +447,21 @@ def test_create_cli_override(self, client):
                      "test_package/conanfile.py": GenConanfile().with_test("pass")})
         client.run("create . pkg/0.1@ --require-override=zlib/2.0")
         assert "zlib/2.0: Already installed" in client.out
+
+
+def test_install_bintray_warning():
+    server = TestServer(complete_urls=True)
+    from conans.client.graph import proxy
+    proxy.DEPRECATED_CONAN_CENTER_BINTRAY_URL = server.fake_url  # Mocking!
+    client = TestClient(servers={"conan-center": server},
+                        users={"conan-center": [("lasote", "mypass")]})
+    client.save({"conanfile.py": GenConanfile()})
+    client.run("create . zlib/1.0@lasote/testing")
+    client.run("upload zlib/1.0@lasote/testing --all -r conan-center")
+    client.run("remove * -f")
+    client.run("install zlib/1.0@lasote/testing -r conan-center")
+    assert "WARN: Remote https://conan.bintray.com is deprecated and will be shut down " \
+           "soon" in client.out
+    client.run("install zlib/1.0@lasote/testing -r conan-center -s build_type=Debug")
+    assert "WARN: Remote https://conan.bintray.com is deprecated and will be shut down " \
+           "soon" not in client.out