Once your account is verified, the amount you withdraw shouldn’t affect the speed, although high rollers do invariably receive special treatment and priority withdrawals at certain casinos. Some casinos might wait to fully verify your account by setting an arbitrary withdrawal limit that triggers their KYC or funding checks. This has historically been at around the £2,000 mark, but since the Gambling Commission has been tightening the rules, more casinos have opted to perform full checks on all new players on their first withdrawal.