diff --git a/requirements/common.in b/requirements/common.in
index be2a27de45..0429938139 100644
--- a/requirements/common.in
+++ b/requirements/common.in
@@ -32,7 +32,7 @@ argon2-cffi==19.1.0
 backports-abc==0.5
 
 # Needed for Tornado 4 compatibility
-backports.ssl-match-hostname==3.5.0.1
+backports.ssl-match-hostname==3.7.0.1
 
 # Needed for S3 file uploads
 boto==2.49.0
diff --git a/requirements/dev.txt b/requirements/dev.txt
index 5c3bee9a39..85fa4f0028 100644
--- a/requirements/dev.txt
+++ b/requirements/dev.txt
@@ -26,7 +26,7 @@ aws-xray-sdk==0.95        # via moto
 babel==2.5.3
 backcall==0.1.0           # via ipython
 backports-abc==0.5
-backports.ssl-match-hostname==3.5.0.1
+backports.ssl-match-hostname==3.7.0.1
 beautifulsoup4==4.7.1
 boto3==1.9.86             # via moto
 boto==2.49.0
diff --git a/requirements/prod.txt b/requirements/prod.txt
index 15ea220590..2e7c79c1bb 100644
--- a/requirements/prod.txt
+++ b/requirements/prod.txt
@@ -21,7 +21,7 @@ asn1crypto==0.24.0        # via cryptography
 babel==2.6.0              # via django-phonenumber-field
 backcall==0.1.0           # via ipython
 backports-abc==0.5
-backports.ssl-match-hostname==3.5.0.1
+backports.ssl-match-hostname==3.7.0.1
 beautifulsoup4==4.7.1
 boto==2.49.0
 cachetools==3.1.0         # via google-auth