Mykhaylo Fomenko wants his Ukraine side to quickly turn their focus to Tuesday's Euro 2016 return playoff leg with Slovenia after claiming a two-goal advantage in Lviv.
The Ukrainians ran out 2-0 winners on Saturday night as Andriy Yarmolenko and Yevhen Seleznyov scored in either half.
However, Fomenko knows there is still a job for his men to do in Maribor in three days' time if they are to progress to France next summer.
Ukraine have failed to win any of their previous five play-off ties to reach a major international tournament and they wasted a glut of second-half opportunities to score a third goal and increase their first-leg cushion.
"We have won the first half of our tie, and I am delighted with the clean sheet, but now we should prepare for the second," Fomenko said. "Tuesday's game will be the final decisive one.
"After the first goal we made some mistakes, individual mistakes -- maybe my players started to relax. After half-time we played some good football and I am thrilled that Yevhen Seleznyov scored, which was great for him.
"It's a bit disappointing that we didn't get the third goal, but saying that we didn't concede either. Now we need to calm down.
"We have time, the players can relax, and in Maribor we will decide on our line-up. Our players know what they have to do in the second leg."
Slovenia were lacklustre throughout and could consider them fortunate that they are only trailing by two goals at half-time in the tie.
"My congratulations go to Ukraine -- they scored two goals and this will help them in the tie," Slovenia boss Srecko Katanec added.
"It was very disappointing that we missed all our chances, particularly one at the start of the game.
"However, we still have the second leg so this is not the end of our campaign. We still have to play at home and our fate remains in our hands. We will try to produce our best football at home and will try to secure a result."