diff --git a/packaging/build_conda.py b/packaging/build_conda.py
index 3ef730b2..da01967e 100644
--- a/packaging/build_conda.py
+++ b/packaging/build_conda.py
@@ -80,6 +80,12 @@ def setup_cuda():
 def setup_conda_pytorch_constraint() -> List[str]:
     pytorch_constraint = f"- pytorch=={PYTORCH_VERSION}"
     os.environ["CONDA_PYTORCH_CONSTRAINT"] = pytorch_constraint
+    if pytorch_major_minor < (2, 2):
+        os.environ["CONDA_PYTORCH_MKL_CONSTRAINT"] = "- mkl!=2024.1.0"
+        os.environ["SETUPTOOLS_CONSTRAINT"] = "- setuptools<70"
+    else:
+        os.environ["CONDA_PYTORCH_MKL_CONSTRAINT"] = ""
+        os.environ["SETUPTOOLS_CONSTRAINT"] = "- setuptools"
     os.environ["CONDA_PYTORCH_BUILD_CONSTRAINT"] = pytorch_constraint
     os.environ["PYTORCH_VERSION_NODOT"] = PYTORCH_VERSION.replace(".", "")
 
diff --git a/packaging/pytorch3d/meta.yaml b/packaging/pytorch3d/meta.yaml
index 8604127d..fb7482ec 100644
--- a/packaging/pytorch3d/meta.yaml
+++ b/packaging/pytorch3d/meta.yaml
@@ -12,8 +12,9 @@ requirements:
 
   host:
     - python
-    - setuptools
+    {{ environ.get('SETUPTOOLS_CONSTRAINT') }}
     {{ environ.get('CONDA_PYTORCH_BUILD_CONSTRAINT') }}
+    {{ environ.get('CONDA_PYTORCH_MKL_CONSTRAINT') }}
     {{ environ.get('CONDA_CUDATOOLKIT_CONSTRAINT') }}
     {{ environ.get('CONDA_CPUONLY_FEATURE') }}