The government calls the new points based immigration system "Australian-style" to get its message across to Sun readers, Phil Woolas has said.
The immigration minister said it was "not a direct comparison" but he believed it was a fair one.
He challenged a CBI immigration conference audience to come up with a better description for a Sun headline.
"If you ignore the Sun reader in this debate you are not going to move it forward," he added.
Explaining his latest comments to journalists after the CBI meeting, he said Sun readers knew as much about the realities of immigration as many "so-called experts".