diff --git a/.github/workflows/deploy.yml b/.github/workflows/deploy.yml
index 6c92ad004b..72e0be04de 100644
--- a/.github/workflows/deploy.yml
+++ b/.github/workflows/deploy.yml
@@ -148,7 +148,7 @@ jobs:
         env:
           CIBW_BEFORE_ALL: "yum install -y yum-utils wget && wget -q https://developer.download.nvidia.com/compute/cuda/11.8.0/local_installers/cuda-repo-rhel7-11-8-local-11.8.0_520.61.05-1.x86_64.rpm && rpm -i cuda-repo-rhel7-11-8-local-11.8.0_520.61.05-1.x86_64.rpm && yum clean all && yum -y install cuda && yum -y install openblas-devel && yum-config-manager --add-repo https://developer.download.nvidia.com/compute/cuda/repos/rhel7/x86_64/cuda-rhel7.repo && yum clean all"
           CIBW_BEFORE_BUILD : "pip install nvidia-cuda-runtime-cu11 nvidia-cublas-cu11 nvidia-cusolver-cu11 nvidia-cusparse-cu11 cuquantum-cu11"
-          CIBW_SKIP: "*-manylinux_i686 pp* cp36* cp37* *musllinux*"
+          CIBW_SKIP: "*-manylinux_i686 pp* cp36* cp37* cp312* *musllinux*"
           CIBW_ENVIRONMENT: QISKIT_AER_PACKAGE_NAME=qiskit-aer-gpu-cu11 QISKIT_AER_CUDA_MAJOR=11 CMAKE_VERBOSE_MAKEFILE=true AER_THRUST_BACKEND=CUDA CUDACXX=/usr/local/cuda/bin/nvcc AER_CUDA_ARCH="7.0 7.2 7.5 8.0 8.6 8.7" AER_PYTHON_CUDA_ROOT=/opt/_internal AER_CIBUILD=true
           CIBW_REPAIR_WHEEL_COMMAND: 'auditwheel repair --exclude libcudart.so.11.0 --exclude libcustatevec.so.1 --exclude libcutensornet.so.2 --exclude libcutensor.so.1 --exclude libcutensorMg.so.1 --exclude libcusolver.so.11 --exclude libcusolverMg.so.11 --exclude libcusparse.so.11 --exclude libcublas.so.11 --exclude libcublasLt.so.11 -w {dest_dir} {wheel}'
         run: |
@@ -192,7 +192,7 @@ jobs:
         env:
           CIBW_BEFORE_ALL: "yum install -y yum-utils wget && wget -q https://developer.download.nvidia.com/compute/cuda/12.2.2/local_installers/cuda-repo-rhel7-12-2-local-12.2.2_535.104.05-1.x86_64.rpm && rpm -i cuda-repo-rhel7-12-2-local-12.2.2_535.104.05-1.x86_64.rpm && yum clean all && yum -y install nvidia-driver-latest-dkms && yum -y install cuda && yum -y install openblas-devel && yum-config-manager --add-repo https://developer.download.nvidia.com/compute/cuda/repos/rhel7/x86_64/cuda-rhel7.repo && yum clean all"
           CIBW_BEFORE_BUILD : "pip install nvidia-cuda-runtime-cu12 nvidia-nvjitlink-cu12 nvidia-cublas-cu12 nvidia-cusolver-cu12 nvidia-cusparse-cu12 cuquantum-cu12"
-          CIBW_SKIP: "*-manylinux_i686 pp* cp36* cp37* *musllinux*"
+          CIBW_SKIP: "*-manylinux_i686 pp* cp36* cp37* cp312* *musllinux*"
           CIBW_ENVIRONMENT: QISKIT_AER_PACKAGE_NAME=qiskit-aer-gpu QISKIT_AER_CUDA_MAJOR=12 CMAKE_VERBOSE_MAKEFILE=true AER_THRUST_BACKEND=CUDA CUDACXX=/usr/local/cuda/bin/nvcc AER_CUDA_ARCH="7.0 7.2 7.5 8.0 8.6 8.7 9.0" AER_PYTHON_CUDA_ROOT=/opt/_internal AER_CIBUILD=true
           CIBW_REPAIR_WHEEL_COMMAND: 'auditwheel repair --exclude libcudart.so.12 --exclude libcustatevec.so.1 --exclude libcutensornet.so.2 --exclude libcutensor.so.1 --exclude libcutensorMg.so.1 --exclude libcusolver.so.11 --exclude libcusolverMg.so.11 --exclude libcusolver.so.12 --exclude libcusolverMg.so.12 --exclude libcusparse.so.12 --exclude libcublas.so.12 --exclude libcublasLt.so.12 --exclude libnvJitLink.so.12 -w {dest_dir} {wheel}'
         run: |