diff --git a/tox.ini b/tox.ini
index 748368c9..1f090fed 100644
--- a/tox.ini
+++ b/tox.ini
@@ -41,9 +41,9 @@ deps =
     oldestdeps: asdf<2.10
     oldestdeps: astropy<5.1
     oldestdeps: dask[array]<2.1
-    oldestdeps: globus-sdk<1.8
+    oldestdeps: globus-sdk<3.1
     oldestdeps: gwcs<0.19
-    oldestdeps: matplotlib<3.2
+    oldestdeps: matplotlib<3.3
     oldestdeps: ndcube<2.1
     oldestdeps: numpy<1.19
     oldestdeps: parfive[ftp]<1.3