I don't think there's a surefire way to remove them quickly. However, there are commercial overnight patches that you can put on that reduce the redness and dry them out. So I guess you could put it on in the morning if you're goin out at night.
Apart from that, your best bet is probably trying to cover it up with makeup if you're secure enough.
But be careful, as it will clog your pores and will be worse long term wise.