diff --git a/requirements.txt b/requirements.txt
index 57818cc73..18d5d2652 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -5,7 +5,7 @@ argon2-cffi>=16.1.0		# For the Argon2 password hasher option
 beautifulsoup4>=4.5.0
 bibtexparser>=0.6.2,<1.0	# Version 1.0 doesn't work under python 2.7.  1.0.1 doesn't recognize month names or abbreviations.
 bleach>=2.0.0,!=3.0.0,!=3.0.1,!=3.0.2
-coverage>=4.0.1,!=4.0.2
+coverage>=4.0.1,!=4.0.2,<5.0
 #cssselect>=0.6.1               # for PyQuery
 decorator>=4.0.4
 defusedxml>=0.4.1		# for TastyPie when ussing xml; not a declared dependency
diff --git a/requirements3.txt b/requirements3.txt
index f727adc4a..ac6461e17 100644
--- a/requirements3.txt
+++ b/requirements3.txt
@@ -5,7 +5,7 @@ argon2-cffi>=16.1.0		# For the Argon2 password hasher option
 beautifulsoup4>=4.5.0
 bibtexparser>=0.6.2,<1.0	# Version 1.0 doesn't work under python 2.7.  1.0.1 doesn't recognize month names or abbreviations.
 bleach>=2.0.0,!=3.0.0,!=3.0.1,!=3.0.2
-coverage>=4.0.1,!=4.0.2
+coverage>=4.0.1,!=4.0.2,<5.0
 #cssselect>=0.6.1               # for PyQuery
 decorator>=4.0.4
 defusedxml>=0.4.1		# for TastyPie when ussing xml; not a declared dependency