diff --git a/conda/pytables/meta.yaml b/conda/pytables/meta.yaml
index 0b9be45688e1a9d66d5afd67d9c16dc05ae0f771..b3b2cfa895cf83b45034efdb1e6d884ff76b6209 100644
--- a/conda/pytables/meta.yaml
+++ b/conda/pytables/meta.yaml
@@ -29,15 +29,15 @@ requirements:
     - {{ compiler('cxx') }}
   host:
     - python {{ python }}
-    - pip
-    - cython
+    - pip {{ pip }}
+    - cython {{ cython }}
     - numpy-devel {{ numpy }}
     - zlib {{ zlib }}
-    - lzo
-    - bzip2
+    - lzo {{ lzo }}
+    - bzip2 {{ bzip2 }}
     - hdf5 {{ hdf5 }}
-    - numexpr
-    - blosc
+    - numexpr {{ numexpr }}
+    - blosc {{ blosc }}
   run:
     - {{ pin_compatible('python') }}
     - {{ pin_compatible('six') }}
@@ -47,7 +47,7 @@ requirements:
     - {{ pin_compatible('lzo') }}
     - {{ pin_compatible('bzip2') }}
     - {{ pin_compatible('blosc') }}
-    - mock
+    - {{ pin_compatible('mock') }}
 
 test:
   requires:
diff --git a/conda_build_config.yaml b/conda_build_config.yaml
index 0f44a4cc5070c6e5b917c38b1504fe0d6fcecb03..fccb24dc3f327a0e624a313fbb5b92d06fdf3458 100644
--- a/conda_build_config.yaml
+++ b/conda_build_config.yaml
@@ -69,6 +69,12 @@ zip_keys:
 
 
 # The dependencies that we link against (host requirements).
+blosc:
+  - 1.20.1
+bzip2:
+  - 1.0.8
+cython:
+  - 0.29.21
 ffmpeg:
   - 4.2.2
 freetype:
@@ -87,10 +93,18 @@ libpng:
   - 1.6.37
 libtiff:
   - 4.1.0
+lzo:
+  - 2.10
 mkl:
   - 2019.4
+mock:
+  - 4.0.3
+numexpr:
+  - 2.7.2
 numpy:
   - 1.16
+pip:
+  - 20.3.3
 xz:
   - 5.2.5
 zlib: