diff --git a/manifests/puppet/base.pp b/manifests/puppet/base.pp
index 84515af..28cd22c 100644
--- a/manifests/puppet/base.pp
+++ b/manifests/puppet/base.pp
@@ -1,69 +1,57 @@
 # Base puppet configuration for all hosts.
 
 class profile::puppet::base {
   $puppetmaster = lookup('puppet::master::hostname')
 
   $agent_config = {
     runmode             => 'none',
     pluginsync          => true,
     puppetmaster        => $puppetmaster,
     additional_settings => {
       environment_data_provider => 'hiera',
     },
   }
 
   file { '/usr/local/sbin/swh-puppet-test':
     ensure  => 'file',
     owner   => 'root',
     group   => 'root',
     mode    => '0755',
     content => template('profile/puppet/swh-puppet-test.sh.erb'),
   }
 
   file { '/usr/local/sbin/swh-puppet-apply':
     ensure  => 'file',
     owner   => 'root',
     group   => 'root',
     mode    => '0755',
     content => template('profile/puppet/swh-puppet-apply.sh.erb'),
   }
 
   # Backported packages
-  if $::lsbdistcodename == 'jessie' {
-    $pinned_packages = [
-      'facter',
-      'hiera',
-      'puppet',
-      'puppet-common',
-      'puppetmaster',
-      'puppetmaster-common',
-      'puppetmaster-passenger',
-      'ruby-deep-merge',
-    ]
-  }
-  elsif $::lsbdistcodename == 'stretch' {
+  if $::lsbdistcodename == 'stretch' {
     $pinned_packages = [
       'facter',
       'libfacter*',
       'libleatherman*',
       'libleatherman-data',
       'libcpp-hocon*',
     ]
   }
   else {
     $pinned_packages = undef
   }
 
   if $pinned_packages {
     ::apt::pin {'puppet':
       explanation => 'Pin puppet dependencies to backports',
       codename    => "${::lsbdistcodename}-backports",
       packages    => $pinned_packages,
       priority    => 990,
     }
   } else {
     ::apt::pin {'puppet':
       ensure => 'absent',
     }
   }
 }
diff --git a/manifests/swh/deploy/base_lister.pp b/manifests/swh/deploy/base_lister.pp
index ffd071c..349c176 100644
--- a/manifests/swh/deploy/base_lister.pp
+++ b/manifests/swh/deploy/base_lister.pp
@@ -1,33 +1,20 @@
 # deployment for the lister package
 class profile::swh::deploy::base_lister {
   $config_dir = '/etc/softwareheritage/lister'
 
   # Contains passwords
   file {$config_dir:
     ensure  => 'directory',
     owner   => 'swhworker',
     group   => 'swhdev',
     mode    => '0644',
     purge   => true,
     recurse => true,
   }
 
   $packages = ['python3-swh.lister']
 
   package {$packages:
     ensure => 'installed',
   }
-
-  if $::lsbdistcodename == 'jessie' {
-    $pinned_packages = [
-      'python3-sqlalchemy',
-    ]
-
-    ::apt::pin {'swh-lister-base':
-      explanation => 'Pin swh.lister dependencies to backports',
-      codename    => 'jessie-backports',
-      packages    => $pinned_packages,
-      priority    => 990,
-    } -> Package[$packages]
-  }
 }
diff --git a/manifests/swh/deploy/objstorage_cloud.pp b/manifests/swh/deploy/objstorage_cloud.pp
index 9741fd4..ae7936a 100644
--- a/manifests/swh/deploy/objstorage_cloud.pp
+++ b/manifests/swh/deploy/objstorage_cloud.pp
@@ -1,22 +1,17 @@
 # Deployment of the cloud objstorage
 
 class profile::swh::deploy::objstorage_cloud {
   $pinned_packages = [
     'python3-cffi',
     'python3-cryptography',
     'python3-pkg-resources',
     'python3-pyasn1',
     'python3-setuptools',
   ]
 
   $objstorage_packages = ['python3-swh.objstorage.cloud']
 
-  ::apt::pin {'objstorage_cloud':
-    explanation => 'Pin python3-azure-storage dependencies to backports',
-    codename    => 'jessie-backports',
-    packages    => $pinned_packages,
-    priority    => 990,
-  } -> package {$objstorage_packages:
+  package {$objstorage_packages:
     ensure => installed,
   }
 }
diff --git a/manifests/swh/deploy/worker/swh_loader_debian.pp b/manifests/swh/deploy/worker/swh_loader_debian.pp
index 03ea6d3..d0e8c8b 100644
--- a/manifests/swh/deploy/worker/swh_loader_debian.pp
+++ b/manifests/swh/deploy/worker/swh_loader_debian.pp
@@ -1,52 +1,39 @@
 # Deployment for swh-loader-debian
 class profile::swh::deploy::worker::swh_loader_debian {
   $concurrency = lookup('swh::deploy::worker::swh_loader_debian::concurrency')
   $loglevel = lookup('swh::deploy::worker::swh_loader_debian::loglevel')
   $task_broker = lookup('swh::deploy::worker::swh_loader_debian::task_broker')
 
   $config_file = '/etc/softwareheritage/loader/debian.yml'
   $config = lookup('swh::deploy::worker::swh_loader_debian::config')
 
   $task_modules = ['swh.loader.debian.tasks']
   $task_queues = ['swh_loader_debian']
 
-  if $::lsbdistcodename == 'jessie' {
-    $pinned_packages = [
-      'python3-sqlalchemy',
-    ]
-
-    ::apt::pin {'swh-loader-debian':
-      explanation => 'Pin swh.loader.debian dependencies to backports',
-      codename    => 'jessie-backports',
-      packages    => $pinned_packages,
-      priority    => 990,
-    }
-  }
-
   $packages = ['python3-swh.loader.debian']
 
   package {$packages:
     ensure => 'present',
   }
 
   ::profile::swh::deploy::worker::instance {'swh_loader_debian':
     ensure       => present,
     concurrency  => $concurrency,
     loglevel     => $loglevel,
     task_broker  => $task_broker,
     task_modules => $task_modules,
     task_queues  => $task_queues,
     require      => [
       Package[$packages],
       File[$config_file],
     ],
   }
 
   file {$config_file:
     ensure  => 'present',
     owner   => 'swhworker',
     group   => 'swhworker',
     mode    => '0644',
     content => inline_template("<%= @config.to_yaml %>\n"),
   }
 }
diff --git a/manifests/systemd_journal/apt_config.pp b/manifests/systemd_journal/apt_config.pp
index e9c71b4..4291270 100644
--- a/manifests/systemd_journal/apt_config.pp
+++ b/manifests/systemd_journal/apt_config.pp
@@ -1,26 +1,3 @@
 # Manage the configuration of apt for the systemd journal
 class profile::systemd_journal::apt_config {
-  if $::lsbdistcodename == 'jessie' {
-    $pinned_packages = [
-      'apparmor',
-      'ifupdown',
-      'libapparmor1',
-      'libseccomp2',
-      'libsystemd0',
-      'libudev1',
-      'python-systemd',
-      'python3-systemd',
-      'systemd',
-      'systemd-journal-remote',
-      'systemd-sysv',
-      'udev',
-    ]
-
-    ::apt::pin {'systemd':
-      explanation => 'Pin systemd dependencies to backports',
-      codename    => 'jessie-backports',
-      packages    => $pinned_packages,
-      priority    => 990,
-    }
-  }
 }