If it is treated legally as a 'road', then in the same way as you wouldn't expect cars to bump onto the pavement to carry on their journey when there is road works, then you wouldn't expect cyclists to cross onto the pavement either.
However cyclists have a pretty big advantage over motorists as we can simply dismount, walk on the pavement, then carry on our journey as normal once past the 'road' works.
We usually have no sympathy for drivers when they are complaining that they have to divert to wherever because of whatever roadworks, i'm feeling about as much sympathy in this case. Just get off and walk round it. :)