Apparently the Apprentice star and Amstrad boss is a fan of the Labour party and was a bit disappointed when Boris Johnson from the Tories was elected recently.
But he admits so far, Boris is doing quite a good job.
Sir Alan's not ruling it out going for the Mayor's job although he does admit it's a long shot.
He reckons it would be a massive challenge though and is a firm believer in sticking with what you know.
This week's shopping task is based on the famous music video for 'Here It Goes Again' by Ok Go - housemates have been given just over 24 hours to learn the moves from it... here's a reminder of the original vid...
Different roles have been allocated for each of the housemates - Rachel, Sylvia, Dale and Stuart will be peforming the routine, with Dennis (obviously) being the choreographer.
'Costume Stylist' is Jennifer, and 'Hair & Make-up Stylist' is Lisa.
Big Brother has setup eight treadmills in the task room for housemates to practice on, and they'll also have access to the Ok Go video to help them with the moves.
Housemates will perform the routine for Big Brother this evening, and if they can do it without making more than three mistakes, a luxury shopping budget is theirs...
Rachel hurt her finger while on the treadmill (!), so Big Brother asked housemates to select a replacement, should one be needed, and Rex was quick to offer.
Late last night, doctors confirmed Rachel would be unable to compete, so Rex will now be part of the performance...