The Sunday Sun says Allardyce has been charged with rebuilding the Hammers following their limp relegation last season and wants to add steel to a squad that made a habit of surrendering leads last season.
And he sees former charge Smith as the ideal man to do it.
Allardyce, of course, was the boss who spent £6million on Smith back in 2007, so he is more than aware of what he can bring to his ailing Hammers squad.
Big Sam tried to take him to Blackburn on two separate occasions, only for Smith to knock back the move.
But he may have more success this time as Smith ponders his options for the coming campaign.