jenkins-launchpad-plugin has undeclared conflict with dput

[Max Brustkern]

I can't install jenkins-launchpad-plugin if I have dput installed, but it doesn't declare a conflict:
sudo apt-get install jenkins-launchpad-plugin
Reading package lists... Done
Building dependency tree
Reading state information... Done
The following packages were automatically installed and are no longer required:
  linux-headers-4.4.0-53 linux-headers-4.4.0-53-generic
  linux-image-4.4.0-53-generic linux-image-extra-4.4.0-53-generic
Use 'sudo apt autoremove' to remove them.
The following NEW packages will be installed:
  jenkins-launchpad-plugin
0 upgraded, 1 newly installed, 0 to remove and 139 not upgraded.
Need to get 0 B/327 kB of archives.
After this operation, 991 kB of additional disk space will be used.
(Reading database ... 568565 files and directories currently installed.)
Preparing to unpack .../jenkins-launchpad-plugin_0.1.1-0~130~ubuntu16.04.1_all.deb ...
Unpacking jenkins-launchpad-plugin (0.1.1-0~130~ubuntu16.04.1) ...
dpkg: error processing archive /var/cache/apt/archives/jenkins-launchpad-plugin_0.1.1-0~130~ubuntu16.04.1_all.deb (--unpack):
 trying to overwrite '/usr/bin/dput', which is also in package dput 0.9.6.4ubuntu3
dpkg-deb: error: subprocess paste was killed by signal (Broken pipe)
Errors were encountered while processing:
 /var/cache/apt/archives/jenkins-launchpad-plugin_0.1.1-0~130~ubuntu16.04.1_all.deb
E: Sub-process /usr/bin/dpkg returned an error code (1)