diff --git a/minimum-constraints.txt b/minimum-constraints.txt
index 50ef433e9..7a3b56cb7 100644
--- a/minimum-constraints.txt
+++ b/minimum-constraints.txt
@@ -64,7 +64,9 @@ requests==2.22.0; python_version >= '3.5'
 # lxml==4.2.4
 # decorator==4.0.11
 # yamlordereddictloader==0.4.0
-urllib3==1.25.9
+urllib3==1.25.9; python_version == '2.7'
+urllib3==1.24.2; python_version == '3.4'
+urllib3==1.25.9; python_version >= '3.5'
 
 # Direct dependencies for develop (must be consistent with dev-requirements.txt)
 
@@ -168,7 +170,6 @@ jsonschema==2.5.1
 jupyter_client==4.4.0
 jupyter_console==5.0.0
 jupyter_core==4.2.1
-lazy-object-proxy==1.4.2
 linecache2==1.0.0
 MarkupSafe==0.23
 mistune==0.8.1