diff --git a/requirements.txt b/requirements.txt
index 9a125407d..98c0bbf00 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1,13 +1,13 @@
 cython
-cymem == 1.30
+cymem>=1.30,<1.31
 pathlib
-preshed == 0.46.1
-thinc == 4.1.0
-murmurhash == 0.26
+preshed>=0.46.1,<0.47.0
+thinc>=4.2.0,<4.3.0
+murmurhash>=0.26,<0.27
 text-unidecode
 numpy
 plac
 six
 ujson
 cloudpickle
-sputnik == 0.6.4
+sputnik>=0.6.4,<0.7.0
diff --git a/setup.py b/setup.py
index 53290138a..488885d72 100644
--- a/setup.py
+++ b/setup.py
@@ -269,9 +269,9 @@ def setup_package():
             url='https://spacy.io',
             license='MIT',
             ext_modules=ext_modules,
-            install_requires=['numpy', 'murmurhash == 0.26', 'cymem == 1.30', 'preshed == 0.46.1',
-                              'thinc == 4.1.0', 'text_unidecode', 'plac', 'six',
-                              'ujson', 'cloudpickle', 'sputnik == 0.6.4'],
+            install_requires=['numpy', 'murmurhash>=0.26,<0.27', 'cymem>=1.30,<1.31', 'preshed>=0.46.1,<0.47',
+                              'thinc>=4.2.0,<4.3.0', 'text_unidecode', 'plac', 'six',
+                              'ujson', 'cloudpickle', 'sputnik>=0.6.4,<0.7.0'],
             cmdclass = {
                 'build_ext': build_ext_subclass},
         )