How long does it take to convert Hilton points to miles?

Generally, it can be done on the same day.

Hilton can also use points to redeem miles, most of which range from 10,000 points to 1,000 miles. Members also receive points rewards, and Gold and Diamond Card members can earn up to 1,000 Myway points when staying at different hotel brands. Milestone bonus, earn 1,000 bonus points for every 10 nights you stay 4 nights per year.