"We've got to finish the job off as quickly as we can," Giggs told Manchester United Radio.
United created a hatful of chances in a 4-2 win in Kyiv two weeks ago, and Giggs is confident of completing the job against Oleg Luzhny's side on Wednesday.
"We could have scored seven or eight with the chances we had, but it didn't quite happen," the veteran winger said.
"Not many teams win away from home in Europe and we've done that twice now.
"All teams in Europe have dangerous players and Kyiv have experience, but if we apply ourselves and play like we did in Kyiv, we should be OK."