diff --git a/requirements/common.in b/requirements/common.in
index 73ab0fbf0d..90c9b9738d 100644
--- a/requirements/common.in
+++ b/requirements/common.in
@@ -46,7 +46,7 @@ chardet==3.0.4
 
 # Pinned version because older versions don't compile on newer Linux.
 # Not actually a direct dependency.
-cryptography==2.3
+cryptography==2.3.1
 
 # Needed for integrations
 defusedxml==0.5.0
@@ -120,7 +120,7 @@ pytz==2018.5
 # Needed for redis
 redis==2.10.6
 
-requests_oauthlib==0.8.0
+requests_oauthlib==1.0.0
 rsa==3.4.2
 
 # Needed for Python 2+3 compatibility
@@ -186,7 +186,7 @@ lxml==4.2.5
 
 # Needed for 2-factor authentication
 django-two-factor-auth==1.7.0
-twilio==6.15.2
+twilio==6.19.2
 
 # Needed for processing payments (in zilencer)
 stripe==2.3.0
diff --git a/requirements/dev.txt b/requirements/dev.txt
index d8c5f2955d..73464f57db 100644
--- a/requirements/dev.txt
+++ b/requirements/dev.txt
@@ -41,7 +41,7 @@ commonmark==0.5.4
 constantly==15.1.0        # via twisted
 cookies==2.2.1            # via moto, responses
 coverage==4.5.1
-cryptography==2.3
+cryptography==2.3.1
 cssselect==1.0.1          # via parsel, premailer, scrapy
 cssutils==1.0.2           # via premailer
 decorator==4.1.2          # via ipython, traitlets
@@ -130,7 +130,7 @@ pyjwt==1.6.4
 pyldap==3.0.0.post1       # via fakeldap
 pylibmc==1.5.2
 pyoembed==0.1.2
-pyopenssl==17.3.0         # via ndg-httpsclient, requests, scrapy, service-identity
+pyopenssl==18.0.0         # via ndg-httpsclient, requests, scrapy, service-identity
 pyparsing==2.2.0          # via packaging
 pysocks==1.6.7            # via twilio
 python-dateutil==2.6.1
@@ -146,8 +146,8 @@ queuelib==1.4.2           # via scrapy
 recommonmark==0.4.0
 redis==2.10.6
 regex==2017.11.9
-requests-oauthlib==0.8.0
-requests[security]==2.18.4  # via aws-xray-sdk, docker, matrix-client, moto, premailer, pyoembed, python-digitalocean, python-gcm, python-twitter, requests-oauthlib, responses, social-auth-core, sphinx, stripe, twilio
+requests-oauthlib==1.0.0
+requests[security]==2.20.0  # via aws-xray-sdk, docker, matrix-client, moto, premailer, pyoembed, python-digitalocean, python-gcm, python-twitter, requests-oauthlib, responses, social-auth-core, sphinx, stripe, twilio
 responses==0.9.0          # via moto
 rsa==3.4.2
 s3transfer==0.1.11        # via boto3
@@ -173,7 +173,7 @@ tblib==1.3.2
 tornado==4.5.3
 traitlets==4.3.2          # via ipython
 transifex-client==0.12.5
-twilio==6.15.2
+twilio==6.19.2
 twisted==18.4.0
 typed-ast==1.1.0          # via mypy
 typing==3.6.4
diff --git a/requirements/docs.txt b/requirements/docs.txt
index 9e96b84c7d..3f1b0b11d5 100644
--- a/requirements/docs.txt
+++ b/requirements/docs.txt
@@ -22,7 +22,7 @@ pygments==2.2.0           # via sphinx
 pyparsing==2.2.0          # via packaging
 pytz==2017.3              # via babel
 recommonmark==0.4.0
-requests==2.18.4          # via sphinx
+requests==2.20.0          # via sphinx
 six==1.11.0               # via packaging, sphinx
 snowballstemmer==1.2.1
 sphinx-rtd-theme==0.4.1
diff --git a/requirements/prod.txt b/requirements/prod.txt
index 6dfd68f889..15cb6371ab 100644
--- a/requirements/prod.txt
+++ b/requirements/prod.txt
@@ -29,7 +29,7 @@ cchardet==2.1.1
 certifi==2018.4.16
 cffi==1.11.5
 chardet==3.0.4
-cryptography==2.3
+cryptography==2.3.1
 cssselect==1.0.1          # via premailer
 cssutils==1.0.2           # via premailer
 decorator==4.1.2          # via ipython, traitlets
@@ -94,7 +94,7 @@ pygments==2.2.0
 pyjwt==1.6.4
 pylibmc==1.5.2
 pyoembed==0.1.2
-pyopenssl==17.3.0         # via ndg-httpsclient, requests
+pyopenssl==18.0.0         # via ndg-httpsclient, requests
 pysocks==1.6.7            # via twilio
 python-dateutil==2.6.1
 python-gcm==0.4
@@ -106,8 +106,8 @@ pyyaml==3.12              # via yamole
 qrcode==4.0.4             # via django-two-factor-auth
 redis==2.10.6
 regex==2017.11.9
-requests-oauthlib==0.8.0
-requests[security]==2.18.4  # via matrix-client, premailer, pyoembed, python-gcm, python-twitter, requests-oauthlib, social-auth-core, stripe, twilio
+requests-oauthlib==1.0.0
+requests[security]==2.20.0  # via matrix-client, premailer, pyoembed, python-gcm, python-twitter, requests-oauthlib, social-auth-core, stripe, twilio
 rsa==3.4.2
 simplegeneric==0.8.1      # via ipython
 six==1.11.0
@@ -121,7 +121,7 @@ statsd==3.2.1             # via django-statsd-mozilla
 stripe==2.3.0
 tornado==4.5.3
 traitlets==4.3.2          # via ipython
-twilio==6.15.2
+twilio==6.19.2
 typing==3.6.4
 uritemplate==3.0.0
 urllib3==1.22             # via requests