diff --git a/requirements.txt b/requirements.txt
index b7144364..e4a02635 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -2,8 +2,9 @@
 # pip install -r requirements.txt
 lxml
 requests
-rdflib
-rdflib-jsonld
+rdflib>=6.0.1; python_version>="3.7"
+rdflib<6.0.0; python_version<"3.7"
+rdflib-jsonld<=0.5.0; python_version<"3.7"
 pyrdfa3
 mf2py>=1.1.0
 six>=1.11
diff --git a/setup.py b/setup.py
index 6e6d797c..76cb4a0f 100644
--- a/setup.py
+++ b/setup.py
@@ -38,8 +38,10 @@ def get_version():
     packages=find_packages(exclude=['tests',]),
     package_data={'extruct': ['VERSION']},
     install_requires=['lxml',
-                      'rdflib',
-                      'rdflib-jsonld',
+                      'rdflib<6.0.0;python_version<"3.7"',
+                      'rdflib-jsonld<=0.5.0;python_version<"3.7"',
+                      # rdflib 6.x.y (only on 3.7 and up) contains jsonld
+                      'rdflib>=6.0.1;python_version>="3.7"',
                       'pyrdfa3',
                       'mf2py',
                       'w3lib',