diff --git a/requirements-core.txt b/requirements-core.txt
index 7e434aae868..ed5416b47d0 100644
--- a/requirements-core.txt
+++ b/requirements-core.txt
@@ -1,6 +1,6 @@
 pip>=18.0
-numpy>=1.17.3
-scipy>=1.3.1
+numpy>=1.19.5
+scipy>=1.9
 # scikit-learn version 1.0.0 includes problematic libomp 12 which breaks xgboost
 # https://github.com/scikit-learn/scikit-learn/pull/21227
 scikit-learn>=1.0.1
diff --git a/tox.ini b/tox.ini
index 946baf2a159..4fd6cc56ddf 100644
--- a/tox.ini
+++ b/tox.ini
@@ -48,8 +48,8 @@ deps =
     oldest: qtconsole==4.7.2
     oldest: pygments==2.8.0
     oldest: pip==18.0
-    oldest: numpy==1.17.3
-    oldest: scipy==1.3.1
+    oldest: numpy==1.19.5
+    oldest: scipy==1.9
     oldest: scikit-learn==1.0.1
     oldest: bottleneck==1.3.4
     oldest: xlrd==1.2.0