diff --git a/docs/.markdownlint.json b/docs/.markdownlint.json
index c10d547d3..79b1ce5ec 100644
--- a/docs/.markdownlint.json
+++ b/docs/.markdownlint.json
@@ -7,5 +7,6 @@
     "MD026": false,
     "MD033": false,
     "MD034": false,
-    "MD036": false
+    "MD036": false,
+    "MD046": false
 }
diff --git a/docs/check.Dockerfile b/docs/check.Dockerfile
index bbc51e6b4..79af5c3cf 100644
--- a/docs/check.Dockerfile
+++ b/docs/check.Dockerfile
@@ -1,9 +1,6 @@
 
-FROM alpine:3.9 as alpine
+FROM alpine:3.10 as alpine
 
-# The "build-dependencies" virtual package provides build tools for html-proofer installation.
-# It compile ruby-nokogiri, because alpine native version is always out of date
-# This virtual package is cleaned at the end.
 RUN apk --no-cache --no-progress add \
     libcurl \
     ruby \
@@ -11,21 +8,17 @@ RUN apk --no-cache --no-progress add \
     ruby-etc \
     ruby-ffi \
     ruby-json \
-  && apk add --no-cache --virtual build-dependencies \
-    build-base \
-    libcurl \
-    libxml2-dev \
-    libxslt-dev \
-    ruby-dev \
-  && gem install --no-document html-proofer -v 3.10.2 \
-  && apk del build-dependencies
+    ruby-nokogiri
+RUN gem install html-proofer --version 3.13.0 --no-document -- --use-system-libraries
 
 # After Ruby, some NodeJS YAY!
 RUN apk --no-cache --no-progress add \
     git \
     nodejs \
     npm \
-  && npm install markdownlint@0.12.0 markdownlint-cli@0.13.0 --global
+  && npm install --global \
+    markdownlint@0.17.2 \
+    markdownlint-cli@0.19.0
 
 # Finally the shell tools we need for later
 # tini helps to terminate properly all the parallelized tasks when sending CTRL-C
diff --git a/docs/docs.Dockerfile b/docs/docs.Dockerfile
index 7c06736e7..024053ee9 100644
--- a/docs/docs.Dockerfile
+++ b/docs/docs.Dockerfile
@@ -1,4 +1,4 @@
-FROM alpine:3.9
+FROM alpine:3.10
 
 ENV PATH=/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/root/.local/bin
 
diff --git a/docs/requirements.txt b/docs/requirements.txt
index c9f1cc3b3..28465b6c2 100644
--- a/docs/requirements.txt
+++ b/docs/requirements.txt
@@ -1,6 +1,6 @@
 mkdocs==1.0.4
-pymdown-extensions==6.0
+pymdown-extensions==6.1
 mkdocs-bootswatch==1.0
-mkdocs-material==4.0.2
+mkdocs-material==4.4.3
 markdown-include==0.5.1
 mkdocs-exclude==1.0.2