Not that I'm advocating paying bribes (I'd much rather see corrupt officials jailed), but there's a right way to phrase a bribe offer. Something along the lines

Not that I'm advocating paying bribes (I'd much rather see corrupt officials jailed), but there's a right way to phrase a bribe offer. Something along the lines of "Is there a fee I can pay for expedited service?" gives you plausible deniability. As some government agencies do provide expedited services for an extra fee, it's an entirely reasonable question.