Hi we are in a similar situation, and having a nightmare atm with our bank.
Our engineer put down a larger figure for the housebuild than we actually need to borrow and had approval for (we have some cash etc) so now the bank are insisiting on approving additional funds before they allow us to draw down! Very frustrating so we've had to pay out cash for work in the meantime.
If it's straightforward without issue it should take 3-5 days to reach your solicitors a/c and perhaps the same to reach your account. This is what we were advised which seems mental given we are in the era of internet banking but they are claiming paperwork & processing etc.
Best of luck,