diff --git a/.github/workflows/conda.yml b/.github/workflows/conda.yml
index e6e2fb379..41f4101e7 100644
--- a/.github/workflows/conda.yml
+++ b/.github/workflows/conda.yml
@@ -114,7 +114,7 @@ jobs:
       # In Linux/macOS we need the conda-forge channel to install their pinned versions
       - name: Install the Conda package (Linux/macOS)
         if: runner.os != 'Windows'
-        run: conda install --channel conda-forge --channel ./build/conda khiops-core
+        run: conda install --channel ./build/conda khiops-core
       - name: Test that the executables are installed
         run: |
           MODL -v
diff --git a/packaging/conda/build.sh b/packaging/conda/build.sh
index 85a4d1174..1418fdc93 100644
--- a/packaging/conda/build.sh
+++ b/packaging/conda/build.sh
@@ -16,8 +16,18 @@ cmake --fresh --preset $CMAKE_PRESET -DBUILD_JARS=OFF -DTESTING=OFF
 cmake --build --preset $CMAKE_PRESET --parallel --target MODL MODL_Coclustering
 
 # Copy the MODL binaries to the Conda PREFIX path
-cp "./build/$CMAKE_PRESET/bin/MODL" "$PREFIX/bin"
-cp "./build/$CMAKE_PRESET/bin/MODL_Coclustering" "$PREFIX/bin"
+cp "./build/$CMAKE_PRESET/bin/MODL*" "$PREFIX/bin"
+
+# Make symbolic links for MODL in Linux since it has a prefix depending of the MPI version
+if [[ "$(uname)" == "Linux" ]]
+then
+  if [[ -f "$PREFIX/bin/MODL_mpich" ]]
+  then
+    ln -s "$PREFIX/bin/MODL" "$PREFIX/bin/MODL_mpich"
+  else
+    ln -s "$PREFIX/bin/MODL" "$PREFIX/bin/MODL_openmpi"
+  fi
+fi
 
 # Custom rpath relocation and signing executables for macOS in arm64
 #
diff --git a/packaging/conda/meta.yaml b/packaging/conda/meta.yaml
index 662716986..c2fc50442 100644
--- a/packaging/conda/meta.yaml
+++ b/packaging/conda/meta.yaml
@@ -26,35 +26,25 @@ build:
   detect_binary_files_with_prefix: false # [osx]
   {% endif %}
 
-# Note on version pinning:
-# OSX:
-# - mpich=3.4.3 because 4.* is still unstable
-# - requires conda-forge
-# Linux:
-# - mpich=4.0.3 because of bugs of the 3.* series
-# - requires conda-forge
 requirements:
   build:
-    - mpich 4.0.3        # [linux]
-    - mpich-mpicc  4.0.3 # [linux]
-    - mpich-mpicxx 4.0.3 # [linux]
-    - mpich 3.4.3        # [osx]
-    - mpich-mpicc  3.4.3 # [osx]
-    - mpich-mpicxx 3.4.3 # [osx]
+    - openmpi            # [not win]
+    - openmpi-mpicc      # [not win]
+    - openmpi-mpicxx     # [not win]
     - msmpi              # [win]
     - cmake
     - ninja
     - {{ compiler('cxx') }}
   host:
-    - mpich 4.0.3        # [linux]
-    - mpich-mpicxx 4.0.3 # [linux]
-    - mpich 3.4.3        # [osx]
-    - mpich-mpicxx 3.4.3 # [osx]
+    - openmpi            # [not win]
+    - openmpi-mpicc      # [not win]
+    - openmpi-mpicxx     # [not win]
     - msmpi              # [win]
   run:
-    - mpich 4.0.3   # [linux]
-    - mpich 3.4.3   # [osx]
-    - msmpi         # [win]
+    - openmpi            # [not win]
+    - openmpi-mpicc      # [not win]
+    - openmpi-mpicxx     # [not win]
+    - msmpi              # [win]
 
 outputs:
   - name: khiops-core