diff --git a/conda/pytorch-cuda/meta.yaml b/conda/pytorch-cuda/meta.yaml
index ff31b34b0..a5c8cadcf 100644
--- a/conda/pytorch-cuda/meta.yaml
+++ b/conda/pytorch-cuda/meta.yaml
@@ -29,12 +29,12 @@
 {% set libnvjpeg_constraints=">=11.9.0.86,<12.0.0.28" %}
 {% elif version == '12.1' %}
 {% set cuda_constraints=">=12.1,<12.2" %}
-{% set libcufft_constraints=">=11.0.2.4" %}
-{% set libcublas_constraints=">=12.1.0.26" %}
-{% set libcusolver_constraints=">=11.4.4.55" %}
-{% set libcusparse_constraints=">=12.0.2.55" %}
-{% set libnpp_constraints=">=12.0.2.50" %}
-{% set libnvjpeg_constraints=">=12.1.0.39" %}
+{% set libcufft_constraints=">=11.0.2.4,<11.0.2.54" %}
+{% set libcublas_constraints=">=12.1.0.26,<12.1.3.1" %}
+{% set libcusolver_constraints=">=11.4.4.55,<11.4.5.107" %}
+{% set libcusparse_constraints=">=12.0.2.55,<12.1.0.106" %}
+{% set libnpp_constraints=">=12.0.2.50,<12.1.0.40" %}
+{% set libnvjpeg_constraints=">=12.1.0.39,<12.2.0.2" %}
 {% endif %}
 
 package: