Sorry to be a damp squid (or some other variety of aquatic life), but Timberlands ain't walking boots. Not really. They're a kind of shoe SUV. ;-)
I found Shoo Goo in B&Q (glues section) some years back, but I haven't looked recently. They might not have that exact brand, but they'll probably have something similar.
Can you not just wax them thoroughly, including round the join with the sole? A good way of waxing thoroughly is Aqueous Nikwax, which actually looks suspiciously like Copydex, but in fact is wax suspended in water, so it seeps in anywhere the water would and deposits a load of wax there so that no more water gets in! I usually just use that these days for easy walks - I only bother with proper wax as well if it's a proper walk or if I'm camping and likely to be living in my boots all week.