diff --git a/src/python_inspector/resolution.py b/src/python_inspector/resolution.py
index 14529dea..fb67aa94 100644
--- a/src/python_inspector/resolution.py
+++ b/src/python_inspector/resolution.py
@@ -313,6 +313,7 @@ def get_resolved_dependencies(
     environment: utils_pypi.Environment = None,
     repos: Sequence[utils_pypi.PypiSimpleRepository] = tuple(),
     as_tree: bool = False,
+    max_rounds: int = 200000,
 ):
     """
     Return resolved dependencies of a ``requirements`` list of Requirement for
@@ -326,6 +327,6 @@ def get_resolved_dependencies(
         provider=PythonInputProvider(environment=environment, repos=repos),
         reporter=BaseReporter(),
     )
-    results = resolver.resolve(requirements=requirements)
+    results = resolver.resolve(requirements=requirements, max_rounds=max_rounds)
     results = format_resolution(results, as_tree=as_tree)
     return results
diff --git a/src/python_inspector/resolve_cli.py b/src/python_inspector/resolve_cli.py
index b2c527a8..502c844c 100644
--- a/src/python_inspector/resolve_cli.py
+++ b/src/python_inspector/resolve_cli.py
@@ -101,6 +101,13 @@
     help="Write output as pretty-printed JSON to FILE. "
     "Use the special '-' file name to print results on screen/stdout.",
 )
+@click.option(
+    "--max-rounds",
+    "max_rounds",
+    type=int,
+    default=200000,
+    help="Increase the max rounds whenever the resolution is too deep",
+)
 @click.option(
     "--use-cached-index",
     is_flag=True,
@@ -128,6 +135,7 @@ def resolve_dependencies(
     operating_system,
     index_urls,
     json_output,
+    max_rounds,
     use_cached_index=False,
     use_pypi_json_api=False,
     debug=TRACE,
@@ -220,6 +228,7 @@ def resolve_dependencies(
         environment=environment,
         repos=repos,
         as_tree=False,
+        max_rounds=max_rounds,
     )
 
     cli_options = [f"--requirement {rf}" for rf in requirement_files]
@@ -256,7 +265,7 @@ def resolve_dependencies(
         click.secho("done!")
 
 
-def resolve(direct_dependencies, environment, repos=tuple(), as_tree=False):
+def resolve(direct_dependencies, environment, repos=tuple(), as_tree=False, max_rounds=200000):
     """
     Resolve dependencies given a ``direct_dependencies`` list of
     DependentPackage and return a tuple of (initial_requirements,
@@ -273,6 +282,7 @@ def resolve(direct_dependencies, environment, repos=tuple(), as_tree=False):
         environment=environment,
         repos=repos,
         as_tree=as_tree,
+        max_rounds=max_rounds,
     )
 
     initial_requirements = [d.to_dict() for d in direct_dependencies]
diff --git a/tests/test_cli.py b/tests/test_cli.py
index 65c056f8..753fa5b1 100644
--- a/tests/test_cli.py
+++ b/tests/test_cli.py
@@ -74,6 +74,26 @@ def test_cli_with_multiple_index_url_and_tilde_req():
     )
 
 
+@pytest.mark.online
+def test_cli_with_multiple_index_url_and_tilde_req_with_max_rounds():
+    expected_file = test_env.get_test_loc("tilde_req-expected.json", must_exist=False)
+    specifier = "zipp~=3.8.0"
+    extra_options = [
+        "--index-url",
+        "https://pypi.org/simple",
+        "--index-url",
+        "https://thirdparty.aboutcode.org/pypi/simple/",
+        "--max-rounds",
+        "100",
+    ]
+    check_specs_resolution(
+        specifier=specifier,
+        expected_file=expected_file,
+        extra_options=extra_options,
+        regen=REGEN_TEST_FIXTURES,
+    )
+
+
 @pytest.mark.online
 def test_cli_with_multiple_index_url_and_tilde_req_and_netrc_file_without_matching_url():
     expected_file = test_env.get_test_loc("tilde_req-expected.json", must_exist=False)
diff --git a/tests/test_resolution.py b/tests/test_resolution.py
index c8e8b94e..6b014072 100644
--- a/tests/test_resolution.py
+++ b/tests/test_resolution.py
@@ -82,7 +82,7 @@ def test_get_resolved_dependencies_with_flask_and_python_36():
     assert as_list == [
         "pkg:pypi/click@8.1.3",
         "pkg:pypi/flask@2.1.2",
-        "pkg:pypi/importlib-metadata@4.11.4",
+        "pkg:pypi/importlib-metadata@4.12.0",
         "pkg:pypi/itsdangerous@2.1.2",
         "pkg:pypi/jinja2@3.1.2",
         "pkg:pypi/markupsafe@2.0.1",
@@ -107,7 +107,7 @@ def test_get_resolved_dependencies_with_tilde_requirement_using_json_api():
     assert as_list == [
         "pkg:pypi/click@8.1.3",
         "pkg:pypi/flask@2.1.2",
-        "pkg:pypi/importlib-metadata@4.11.4",
+        "pkg:pypi/importlib-metadata@4.12.0",
         "pkg:pypi/itsdangerous@2.1.2",
         "pkg:pypi/jinja2@3.1.2",
         "pkg:pypi/markupsafe@2.1.1",